Answers

Algebra

• \( (-x – 10) (x^2 – 2x + 1) \).
• \( (2x – 3)(3x^2 – x + 6) \).
• \(-10x + 6(-x + 3) = -(6x – 6) – 7x\)
• \(-2x + 5(x – 4) – 3(2x – 3) = 10\).
• \(-2x^3 y^5 (x^3)\).
• \((-3x-4)(x^2+3x-5)\).
• \((-x+2)(x^2+9x-2)\).
• \((4x+5)(x^2-2x+5)\).
• \((x-1)(x^2+3x-5)\).
• \((x-4)(2x^2+5x-3)\)
• \((x+3)(x^2+3x+5)\).
• \(1:x = x:64\). What one number can replace \(x\)?
• \(2:x = x:50\). What one number can replace \(x\)?
• \(2(2x-4)=5(x-4)\).
• \(2(x^2 – 6) – 8 = 2\)
• \(2(x^2-7)+3=-3\).
• \(7 – 3 + 6 + x\)
• \(f(1+x)+f(1-x)=0\), \(f(-x)=f(x)\), \(2^{x}-1\).
• \(x + y + x y = 1\) expression \(x y + \frac{1}{x} – \frac{y}{x} – \frac{x}{y}\).
• \(x^2 – 6x = -6x + 4\).
• \(x^2 + 2y^3 – 3x^2 + 1 + 5 – 4 + 3y^3\)
• \(x^2-3x-4=-3x\).
• \(x^2+7x+3=3\).
• \(x^4 – 10x^3 + 35x^2 – 50x + 25\) factorization.
• \(x^4 – 8x^3 + 13x^2 – 24x + 9\) factorization.
• \(x^4 + x + 2\) irreducible over \(\text{GF}(3)\).
• \[ \frac{2 x^4 y^{-4} z^{-3}}{3 x^2 y^{-3} z^4} \]
• \[ \frac{3 x^3 y^{-1} z^{-1}}{x^{-4} y^0 z^0} \]
• \[ \frac{32x^3y^2z^5}{-8xyz^2} \]
• \[ \frac{x^3 + x^2 + x + 2}{x^2 – 1} \] long division.
• 1 foot plus 12 inches equals how many feet?
• A negative divided by a positive equals.
• A negative minus a negative equals a positive: \(-(-x)=x\).
• A negative plus a negative equals.
• A positive minus a negative equals.
• A positive number divided by a negative number equals a negative number: \( (+) \div (-) = (-) \).
• A positive plus a negative equals.
• A positive plus a positive equals.
• Anything \( \div 0 = \).
• Divide \(f(x) = 3x^3 + 8x^2 + 5x – 4\) by \(x + 2\).
• Evaluate \(5\lvert x^3 – 2\rvert + 7\) when \(x = -2\).
• Expand \( (-x + 4)(3x^2 – 2x – 7) \).
• Expand and simplify \( (2x+1)(-3x^2 – x + 9) \).
• Expand and simplify \( (x-9)(x^2+x+2) \).
• Exponential function formula \(y = a b^{x}\).
• Factor \(x^3 + x^2 + 2x + 2\) by grouping.
• Factor \(x(x+1)(x-4)+4(x+1)\) meaning / means.
• Find the inverse of the function \(f(x) = 2x – 4\).
• Find the quotient: \( (5x^4 – 3x^2 + 4) \div (x + 1) \).
• For what values of \(x\) is \(x^2 – 36 = 5x\) true?
• For what values of \(x\) is \(x^2 + 2x = 24\) true?
• Identify the graph of \(y = \ln(x) + 1\).
• Identify the solution set of \(3 \ln(4) = 2 \ln(x)\).
• If \(3x – y = 12\), what is the value of \(\frac{8^x}{2^y}\)?
• If \(f(x) = 3x + 2\) and \(g(x) = x^2 – x\), find the value.
• If \(f(x)=2x^2+1\), what is \(f(x)\) when \(x=3\)? Choices: 1, 7, 13, 19.
• If \(x – 12y = -210\) and \(x – 6y = 90\), then \(x = 390\).
• If \(x + y + xy = 1\) with nonzero real numbers, find \(xy + \frac{1}{x} – \frac{y}{x} – \frac{x}{y}\).
• If \(xy = -6\) and \(x^3 – x = y^3 – y\), find \(x^2 + y^2\).
• Multiply and simplify: \( (2x – 3)(3x^2 + x – 4) \).
• Negative plus a negative equals what? \( (-a) + (-b) = -(a+b) \).
• Negative plus a positive equals.
• Negative plus negative equals positive.
• One root of \(f(x)=2x^3+9x^2+7x-6\) is \(-3\). How to find the factors of the polynomial.
• Quadratic function y-intercept formula.
• Simplify \( \frac{x^3 + x^2 + x + 2}{x^2 – 1} \).
• Simplify the expression \( (2x – 9)(x + 6) \).
• Simplify the expression \(2(10) + 2(x – 4)\).
• Simplify the expression: \(7x^2 + 3 – 5(x^2 – 4)\).
• Solve \(x^2 – 6x = 16\) by completing the square.
• Solve equation: \( \frac{6.9}{x} = \frac{3}{2} \).
• Solve for y: \(3.4 + 5.1(y + 8) = 85\).
• Solve the equation \(1.25x – 0.35x = 585\) for \(x\).
• Solve the equation \(25x^2 = 16\) for \(x\).
• Solve the equation \(3x^2 + 4x + 2 = -x\).
• Solve the equation \(x^2 – x + 5 = 5\).
• Solve the equation \(x^2 + 5 = -5x – 1\).
• Solve the equation: \( -3(x – 14) + 9x = 6x + 42 \).
• Solve the equation: \( -3x + 1 + 10x = x + 4 \).
• Solve this system of equations: \(y = x – 4\) and \(y = 6x – 10\).
• Solve: \(62x – 3 = 6 – 2x + 1\). Choices: \(x = -1, x = 0, x = 1, x = 4\).
• The function g is defined by \(g(x)=x(x-2)(x+6)^2\).
• The graph of \(y = 5x^2\) is the graph of \(y = x^2\).
• The graph shows the equation \(y = x^2 + 4x + 3\).
• The pair of linear equations \(y=0\) and \(y=-7\) has.
• The parabola \(y=3(x-5)^2\) has ____ x-intercept(s).
• The vertex of the graph of \(y = (x – 1)^2 – 5\) is.
• Use the distributive property to expand \(3(x + 8)\).
• Vertex of \(g(x) = 8x^2 – 48x + 65\)
• What are the domain and range of \(f(x) = 2\left(3^{x}\right)\)?
• What are the domain and range of \(f(x)=2|x-4|\)?
• What are the roots of \(f(x) = x^2 – 48\)?
• What is \(3x^3 – 11x^2 – 26x + 30\) divided by \(x – 5\)?
• What is a solution to \( (x + 6)(x + 2) = 60 \)?
• What is the factored form of \(2x^3 + 4x^2 – x\)?
• What is the factored form of \(3x + 24y\)?
• What is the factored form of \(8x^2+12x\)?
• What is the inverse of the function \(f(x)=2x+1\)?
• What is the quotient of \(x^2 + 7x + 12\) and \(x + 4\)?
• What is the solution of the equation \(x^2 = 64\)?
• What is the solution to \(2\log_5(x)=\log_5(4)\)?
• What is the solution to \(4\log_4(x+8)=4^2\)?
• What is the sum of \( \frac{7x}{x^2 – 4} \) and \( \frac{2}{x + 2} \)?
• What is the true solution to \(2 \ln(4x) = 2 \ln(8)\)?
• What is the value of \(x\) if \(\frac{2}{5}x – 17 = 15\)?
• What is the vertex of \(f(x) = |x + 8| – 3\)?
• What is true of the function \(g(x) = -2x^2 + 5\)?
• What number minus negative one equals four? \(x – (-1) = 4\)
• Which are the roots of \(x^2 + 10x + 25 = 0\)?
• Which equation is the inverse of \(y = 16x^2 + 1\)?
• Which equation shows the quadratic formula used correctly to solve \(7x^2 = 9 + x\) for \(x\)?
• Which expression is a factor of \(x^2+7x-30\)?
• Which expression is equivalent to \(\log_3(x + 4)\)?
• Which expression is equivalent to \(10x^2y + 25x^2\)? Choices: \(5x^2(2y + 5)\), \(5x^2y(5 + 20y)\), \(10xy(x + 15y)\), \(10x^2(y + 25)\).
• Which expression is equivalent to \(6(x + 2y) + 3 + 4y + 5\)?
• Which function has real zeros at \(x = 3\) and \(x = 7\)?
• Which function has zeros at \(x = -2\) and \(x = 5\)?
• Which graph represents the function \(f(x) = (x – 5)^2 + 3\)?
• Which graph represents the function \(f(x) = |x|\)?
• Which graph shows the axis of symmetry for the function \(f(x) = (x-2)^2 + 1\)?
• Which graph shows the solution to the system of linear inequalities \(x + 3y > 6\) and \(y \geq 2x + 4\)?
• Which is a solution to \( (x – 2)(x + 10) = 13 \)?
• Which is the graph of \(f(x) = 2(3^x)\)?
• Which is the graph of \(f(x) = x^2 – 2x + 3\)?
• Which is the graph of \(f(x)=-(x+3)(x+1)\)?
• Which is the graph of \(f(x)=100(0.7)^x\)?
• Which is the graph of \(g(x)=\left(\frac{1}{2}\right)^{x+3}-4\)?
• Which is the graph of the linear inequality \(y \geq -x – 3\)?

Analytical Chemistry

• \( \mathrm{p}K_a + \mathrm{p}K_b \).
• calculate the hydrogen ion concentration
• calculate the moles of \( \mathrm{H}_2\mathrm{SO}_4 \) in titrate
• How to calculate \(\mathrm{p}K_a\).
• how to calculate Buffer Capacity
• how to calculate change in pH
• how to calculate equivalents
• how to calculate half equivalence point
• how to calculate m/z value in mass spectrometry
• how to calculate partition coefficient
• how to calculate percent dissociation
• how to calculate pH at equivalence point
• how to calculate pH of a buffer
• how to calculate pKa from titration curve
• How to calculate the acid dissociation constant \(K_a\).
• how to calculate theoretical pH
• how to calculate titer
• weak acid + weak base

Arithmetic

• \( \text{Positive} + \text{positive} = \text{positive} \)
• \(\frac{2}{3} + \frac{2}{3} =\).
• \[ \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \] in fraction form.
• \[ \frac{2}{3} \times \frac{1}{16} \]
• \[ \frac{2}{3} \times \frac{1}{2} \] as a fraction.
• \[ \frac{2}{3} \times \frac{4}{5} \] as a fraction.
• \[ \frac{2}{5} \times 4 \] as a fraction.
• \[ \frac{4}{5} \times 3 \] as a fraction.
• \[ 12 \times \frac{1}{6} \]
• \[ 2 \times \frac{2}{3} \] as a fraction.
• Find the volume of a rectangular prism measuring \( \frac{5}{2} \times \frac{5}{2} \times \frac{5}{2} \).
• One third plus one third equals \( \frac{1}{3} + \frac{1}{3} = \frac{2}{3} \).
• Three-quarters plus three-quarters equals how many cups? \( \frac{3}{4} + \frac{3}{4} = \frac{6}{4} = \frac{3}{2} = 1\tfrac{1}{2} \) cups.
• What is \( \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \)?
• What is \( \frac{3}{4} \times \frac{1}{2} \) as a fraction?
• What is \( \frac{3}{8} \times \frac{2}{5} \) as a fraction?

Biochemistry

• how to calculate \(K_d\)
• how to calculate isoelectric point
• how to calculate isoelectric point with 3 pKa’s
• how to calculate net charge
• how to calculate osmolarity

Calculus

• Is \(f(x)=e\) convergent or divergent?
• Maximum of \(13 \sqrt{x^2 – x^4} + 9 \sqrt{x^2 + x^4}\).
• Minimum of \(8^{x} + 8^{-x} – 4\left(4^{x} + 4^{-x}\right)\).
• Minimum value of \( (x+1)(x+2)(x+3)(x+4) \).

Chemistry

• \( \delta g = \delta g + r t \ln q \).
• \( \mathrm{p}K_a + \mathrm{p}K_b \).
• \(\Delta E = q + w\).
• \[ \mathrm{AgNO}_3 + \mathrm{HCl} \]
• \[ \mathrm{CH}_4 + \mathrm{O}_2 \]
• \[ \mathrm{Cu} + \mathrm{HCl} \]
• \[ \mathrm{HCl} + \mathrm{NaOH} \rightarrow \mathrm{NaCl} + \mathrm{H}_2\mathrm{O} \]
• \[ \mathrm{HNO}_3 + \mathrm{H}_2\mathrm{O} \]
• \[ \mathrm{Mg} + \mathrm{HCl} \]
• \[ \mathrm{NaCN} + \mathrm{H}_2\mathrm{O} \]
• \[ \mathrm{NH}_2^+ \] Lewis structure.
• \[ 2\mathrm{H}_2 + \mathrm{O}_2 \]
• \[ 3\mathrm{NaOH} + \mathrm{H}_3\mathrm{PO}_4 \rightarrow \mathrm{Na}_3\mathrm{PO}_4 + 3\mathrm{H}_2\mathrm{O} \]
• alcohol + h2so4
• calculate boiling point
• calculate the hydrogen ion concentration
• calculate the moles of \( \mathrm{H}_2\mathrm{SO}_4 \) in titrate
• calculate the value of the equilibrium constant for the reaction
• citric acid + baking soda
• how do you calculate valence electrons
• how to calculate \( \Delta h \)
• How to calculate \(\mathrm{p}K_a\).
• how to calculate \(K_d\)
• how to calculate activation energy
• how to calculate bond angle
• how to calculate bond order from lewis structure
• how to calculate Buffer Capacity
• how to calculate change in pH
• how to calculate concentration of a solution
• how to calculate concentration of diluted solution
• how to calculate e cell
• how to calculate electronegativity
• how to calculate enthalpy of combustion
• how to calculate enthalpy of solution
• how to calculate equivalents
• how to calculate evaporation rate
• how to calculate formal charge
• how to calculate freezing point depression
• how to calculate half equivalence point
• how to calculate heat capacity \(Q\)
• how to calculate heat capacity of calorimeter
• how to calculate hybridization
• how to calculate isoelectric point
• how to calculate isoelectric point with 3 pKa’s
• how to calculate m/z value in mass spectrometry
• how to calculate molality
• how to calculate molar mass of a compound
• how to calculate mole fraction
• how to calculate moles with volume
• how to calculate net charge
• how to calculate number of neutrons
• how to calculate number of stereoisomers
• how to calculate osmolarity
• how to calculate osmotic pressure
• how to calculate oxidation state
• how to calculate partial pressure
• how to calculate partition coefficient
• how to calculate percent abundance of isotopes
• how to calculate percent dissociation
• how to calculate percent error in chemistry
• how to calculate percent ionic character
• how to calculate pH at equivalence point
• how to calculate pH of a buffer
• how to calculate pKa from titration curve
• how to calculate protons
• how to calculate radial nodes
• how to calculate rate constant
• how to calculate rate of effusion
• How to calculate the acid dissociation constant \(K_a\).
• how to calculate the average atomic mass
• how to calculate the degree of unsaturation
• how to calculate theoretical mass
• how to calculate theoretical pH
• how to calculate titer
• how to calculate vapor pressure of a solution
• How to estimate \(\mathrm{p}K_a\) values from structure.
• how to know if a compound is ionic or covalent
• how to tell if a bond is polar or nonpolar
• increasing bond polarity
• magnesium + oxygen
• no2f lewis structure
• no3- lewis structure formal charge
• vinegar + baking soda equation
• weak acid + weak base

Discrete Math

• Fibonacci generating function \( \frac{x}{1 – x – x^2} \).

General Chemistry

• \[ \mathrm{AgNO}_3 + \mathrm{HCl} \]
• \[ \mathrm{CH}_4 + \mathrm{O}_2 \]
• \[ \mathrm{Cu} + \mathrm{HCl} \]
• \[ \mathrm{HCl} + \mathrm{NaOH} \rightarrow \mathrm{NaCl} + \mathrm{H}_2\mathrm{O} \]
• \[ \mathrm{HNO}_3 + \mathrm{H}_2\mathrm{O} \]
• \[ \mathrm{Mg} + \mathrm{HCl} \]
• \[ \mathrm{NaCN} + \mathrm{H}_2\mathrm{O} \]
• \[ \mathrm{NH}_2^+ \] Lewis structure.
• \[ 2\mathrm{H}_2 + \mathrm{O}_2 \]
• \[ 3\mathrm{NaOH} + \mathrm{H}_3\mathrm{PO}_4 \rightarrow \mathrm{Na}_3\mathrm{PO}_4 + 3\mathrm{H}_2\mathrm{O} \]
• citric acid + baking soda
• how do you calculate valence electrons
• how to calculate bond angle
• how to calculate bond order from lewis structure
• how to calculate concentration of a solution
• how to calculate concentration of diluted solution
• how to calculate electronegativity
• how to calculate formal charge
• how to calculate molality
• how to calculate molar mass of a compound
• how to calculate mole fraction
• how to calculate moles with volume
• how to calculate number of neutrons
• how to calculate oxidation state
• how to calculate percent abundance of isotopes
• how to calculate percent error in chemistry
• how to calculate percent ionic character
• how to calculate protons
• how to calculate the average atomic mass
• how to calculate theoretical mass
• how to know if a compound is ionic or covalent
• how to tell if a bond is polar or nonpolar
• increasing bond polarity
• magnesium + oxygen
• no2f lewis structure
• no3- lewis structure formal charge
• vinegar + baking soda equation

Geometry

• \(8\frac{3}{4} \times 5\frac{5}{8}\) double window envelopes.
• \(a^{2} + b^{2} =\).
• \(a^2 + b^2 = c^2\).
• \(a^2 + b^2 = c\).
• \(x^2 + y^2 – z^2 = 1\) hyperboloid of one sheet.
• \(y^2 + y = x^3 – x^2 – 10x – 20\) elliptic curve.
• \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\) discriminant.
• Curve \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\).
• Directrix of parabola \(y = ax^2 + bx + c\) formula.
• Discriminant of hyperelliptic curve \(y^2 = f(x)\).
• Elliptic curve \(y^2 + y = x^3 – x^2 – 10x – 20\).
• Find the slope of the line \(y = \frac{2}{3}x + \frac{3}{2}\).
• Find the slope of the line \(y = \frac{2}{9}x + \frac{6}{13}\).
• Find the slope of the line \(y = \frac{3}{11}x + \frac{3}{16}\).
• Find the slope of the line \(y = \frac{3}{4}x + 14\).
• Find the slope of the line \(y = x + 18\).
• Find the slope of the line \(y=12x+6\).
• Find the x-intercept of the line \(10x + 14y = -18\).
• Find the x-intercept of the line \(12x + 11y = 8\).
• Find the x-intercept of the line \(18x – 5y = 12\).
• Find the x-intercept of the line \(20x – 17y = 15\).
• Find the x-intercept of the line \(2x – 4y = -12\).
• Find the x-intercept of the line \(3x + 20y = -24\).
• Find the x-intercept of the line \(3x + 6y = 21\).
• Find the x-intercept of the line \(6x – 4y = 14\).
• Find the x-intercept of the line \(7x – 17y = -28\).
• Find the x-intercept of the line \(8x + 6y = 16\).
• Find the x-intercept of the line \(8x+14y=15\).
• Find the x-intercept of the line \(9x – 3y = 24\).
• Find the x-intercept of the line 4x+11y=20
• Find the y-intercept of the line \(y = \frac{5}{6}x + 5\).
• Find the y-intercept of the line \(y = \frac{7}{9}x + \frac{2}{3}\).
• Find the y-intercept of the line \(y = \frac{8}{9}x + 2\).
• Find the y-intercept of the line \(y = \frac{9}{20}x + \frac{8}{3}\).
• Find the y-intercept of the line \(y = 2x + \frac{2}{13}\).
• Find the y-intercept of the line \(y=-\frac{15}{4}x-18\).
• How to find the y-intercept in \(y = mx + c\).
• How to find the y-intercept with slope and a point.
• How to find the y-intercept with two points.
• How to reflect a point over \(y = x\).
• How to reflect over the line \(y = x\).
• In the xy-plane, the slope of the line \(y = m x – 4\).
• LMFDB elliptic curve \(y^2 + y = x^3 – x^2 – 10x – 20\).
• Solve \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\).
• To find the x-intercept of the line \(5x + 18y = 4\), set \(y = 0\)
• What does \(y = -x\) mean in reflections?
• What does \(y = x\) mean in reflections?
• What does it mean to reflect over \(y = x\)?
• What does the \(b\) represent in \(y = m x + b\)?
• What does the y-intercept represent?
• What is the slope in the equation \(y = 2x + 3\)?
• What is the slope of a line that is parallel to the line \(y = x + 2\)?
• What is the x-intercept in \(y = mx + b\)?
• What is the y-intercept of \(3x + y = 12\)?
• What is the y-intercept of \(f(x) = 3x + 2\)?
• Which graph represents \(y – 1 = 2(x – 2)\)?
• Which graph represents \(y – 1 = 2(x – 4)\)?
• Which graph represents the function \(y = x – 2\)?
• Which is the graph of \(y – 3 = x + 6\)?

Math

• \( (-x – 10) (x^2 – 2x + 1) \).
• \( (2x – 3)(3x^2 – x + 6) \).
• \( \text{Positive} + \text{positive} = \text{positive} \)
• \(-10x + 6(-x + 3) = -(6x – 6) – 7x\)
• \(-2x + 5(x – 4) – 3(2x – 3) = 10\).
• \(-2x^3 y^5 (x^3)\).
• \((-3x-4)(x^2+3x-5)\).
• \((-x+2)(x^2+9x-2)\).
• \((4x+5)(x^2-2x+5)\).
• \((x-1)(x^2+3x-5)\).
• \((x-4)(2x^2+5x-3)\)
• \((x+3)(x^2+3x+5)\).
• \(\frac{2}{3} + \frac{2}{3} =\).
• \(1:x = x:64\). What one number can replace \(x\)?
• \(2:x = x:50\). What one number can replace \(x\)?
• \(2(2x-4)=5(x-4)\).
• \(2(x^2 – 6) – 8 = 2\)
• \(2(x^2-7)+3=-3\).
• \(7 – 3 + 6 + x\)
• \(8\frac{3}{4} \times 5\frac{5}{8}\) double window envelopes.
• \(a^{2} + b^{2} =\).
• \(a^2 + b^2 = c^2\).
• \(a^2 + b^2 = c\).
• \(f(1+x)+f(1-x)=0\), \(f(-x)=f(x)\), \(2^{x}-1\).
• \(x + y + x y = 1\) expression \(x y + \frac{1}{x} – \frac{y}{x} – \frac{x}{y}\).
• \(x^2 – 6x = -6x + 4\).
• \(x^2 + 2y^3 – 3x^2 + 1 + 5 – 4 + 3y^3\)
• \(x^2 + y^2 – z^2 = 1\) hyperboloid of one sheet.
• \(x^2-3x-4=-3x\).
• \(x^2+7x+3=3\).
• \(x^4 – 10x^3 + 35x^2 – 50x + 25\) factorization.
• \(x^4 – 8x^3 + 13x^2 – 24x + 9\) factorization.
• \(x^4 + x + 2\) irreducible over \(\text{GF}(3)\).
• \(y^2 + y = x^3 – x^2 – 10x – 20\) elliptic curve.
• \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\) discriminant.
• \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\).
• \[ \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \] in fraction form.
• \[ \frac{2 x^4 y^{-4} z^{-3}}{3 x^2 y^{-3} z^4} \]
• \[ \frac{2}{3} \times \frac{1}{16} \]
• \[ \frac{2}{3} \times \frac{1}{2} \] as a fraction.
• \[ \frac{2}{3} \times \frac{1}{2} \] as a fraction.
• \[ \frac{2}{3} \times \frac{4}{5} \] as a fraction.
• \[ \frac{2}{5} \times 4 \] as a fraction.
• \[ \frac{3 x^3 y^{-1} z^{-1}}{x^{-4} y^0 z^0} \]
• \[ \frac{32x^3y^2z^5}{-8xyz^2} \]
• \[ \frac{4}{5} \times 3 \] as a fraction.
• \[ \frac{4}{5} \times 3 \] as a fraction.
• \[ \frac{x^3 + x^2 + x + 2}{x^2 – 1} \] long division.
• \[ 12 \times \frac{1}{6} \]
• \[ 2 \times \frac{2}{3} \] as a fraction.
• 1 foot plus 12 inches equals how many feet?
• A negative divided by a positive equals.
• A negative minus a negative equals a positive: \(-(-x)=x\).
• A negative plus a negative equals.
• A positive minus a negative equals.
• A positive number divided by a negative number equals a negative number: \( (+) \div (-) = (-) \).
• A positive plus a negative equals.
• A positive plus a positive equals.
• Anything \( \div 0 = \).
• Curve \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\).
• Directrix of parabola \(y = ax^2 + bx + c\) formula.
• Discriminant of hyperelliptic curve \(y^2 = f(x)\).
• Divide \(f(x) = 3x^3 + 8x^2 + 5x – 4\) by \(x + 2\).
• Elliptic curve \(y^2 + y = x^3 – x^2 – 10x – 20\).
• Euler’s formula \(e^{ix} = \cos(x) + i \sin(x)\).
• Evaluate \(5\lvert x^3 – 2\rvert + 7\) when \(x = -2\).
• Expand \( (-x + 4)(3x^2 – 2x – 7) \).
• Expand and simplify \( (2x+1)(-3x^2 – x + 9) \).
• Expand and simplify \( (x-9)(x^2+x+2) \).
• Exponential function formula \(y = a b^{x}\).
• Factor \(x^3 + x^2 + 2x + 2\) by grouping.
• Factor \(x(x+1)(x-4)+4(x+1)\) meaning / means.
• Fibonacci generating function \( \frac{x}{1 – x – x^2} \).
• Find the inverse of the function \(f(x) = 2x – 4\).
• Find the quotient: \( (5x^4 – 3x^2 + 4) \div (x + 1) \).
• Find the slope of the line \(y = \frac{2}{3}x + \frac{3}{2}\).
• Find the slope of the line \(y = \frac{2}{9}x + \frac{6}{13}\).
• Find the slope of the line \(y = \frac{3}{11}x + \frac{3}{16}\).
• Find the slope of the line \(y = \frac{3}{4}x + 14\).
• Find the slope of the line \(y = x + 18\).
• Find the slope of the line \(y=12x+6\).
• Find the volume of a rectangular prism measuring \( \frac{5}{2} \times \frac{5}{2} \times \frac{5}{2} \).
• Find the x-intercept of the line \(10x + 14y = -18\).
• Find the x-intercept of the line \(12x + 11y = 8\).
• Find the x-intercept of the line \(12x + 11y = 8\).
• Find the x-intercept of the line \(18x – 5y = 12\).
• Find the x-intercept of the line \(20x – 17y = 15\).
• Find the x-intercept of the line \(2x – 4y = -12\).
• Find the x-intercept of the line \(3x + 20y = -24\).
• Find the x-intercept of the line \(3x + 6y = 21\).
• Find the x-intercept of the line \(3x + 6y = 21\).
• Find the x-intercept of the line \(6x – 4y = 14\).
• Find the x-intercept of the line \(7x – 17y = -28\).
• Find the x-intercept of the line \(8x + 6y = 16\).
• Find the x-intercept of the line \(8x+14y=15\).
• Find the x-intercept of the line \(9x – 3y = 24\).
• Find the x-intercept of the line 4x+11y=20
• Find the y-intercept of the line \(y = \frac{5}{6}x + 5\).
• Find the y-intercept of the line \(y = \frac{7}{9}x + \frac{2}{3}\).
• Find the y-intercept of the line \(y = \frac{8}{9}x + 2\).
• Find the y-intercept of the line \(y = \frac{9}{20}x + \frac{8}{3}\).
• Find the y-intercept of the line \(y = 2x + \frac{2}{13}\).
• Find the y-intercept of the line \(y=-\frac{15}{4}x-18\).
• For what values of \(x\) is \(x^2 – 36 = 5x\) true?
• For what values of \(x\) is \(x^2 + 2x = 24\) true?
• How to find the y-intercept in \(y = mx + c\).
• How to find the y-intercept with slope and a point.
• How to find the y-intercept with two points.
• How to reflect a point over \(y = x\).
• How to reflect over the line \(y = x\).
• Identify the graph of \(y = \ln(x) + 1\).
• Identify the solution set of \(3 \ln(4) = 2 \ln(x)\).
• If \(3x – y = 12\), what is the value of \(\frac{8^x}{2^y}\)?
• If \(f(x) = 3x + 2\) and \(g(x) = x^2 – x\), find the value.
• If \(f(x)=2x^2+1\), what is \(f(x)\) when \(x=3\)? Choices: 1, 7, 13, 19.
• If \(x – 12y = -210\) and \(x – 6y = 90\), then \(x = 390\).
• If \(x + y + xy = 1\) with nonzero real numbers, find \(xy + \frac{1}{x} – \frac{y}{x} – \frac{x}{y}\).
• If \(xy = -6\) and \(x^3 – x = y^3 – y\), find \(x^2 + y^2\).
• In the xy-plane, the slope of the line \(y = m x – 4\).
• Is \(f(x)=e\) convergent or divergent?
• LMFDB elliptic curve \(y^2 + y = x^3 – x^2 – 10x – 20\).
• Maximum of \(13 \sqrt{x^2 – x^4} + 9 \sqrt{x^2 + x^4}\).
• Minimum of \(8^{x} + 8^{-x} – 4\left(4^{x} + 4^{-x}\right)\).
• Minimum value of \( (x+1)(x+2)(x+3)(x+4) \).
• Multiply and simplify: \( (2x – 3)(3x^2 + x – 4) \).
• Negative plus a negative equals what? \( (-a) + (-b) = -(a+b) \).
• Negative plus a positive equals.
• Negative plus negative equals positive.
• One root of \(f(x)=2x^3+9x^2+7x-6\) is \(-3\). How to find the factors of the polynomial.
• One third plus one third equals \( \frac{1}{3} + \frac{1}{3} = \frac{2}{3} \).
• Quadratic function y-intercept formula.
• Simplify \( \frac{x^3 + x^2 + x + 2}{x^2 – 1} \).
• Simplify the expression \( (2x – 9)(x + 6) \).
• Simplify the expression \(2(10) + 2(x – 4)\).
• Simplify the expression: \(7x^2 + 3 – 5(x^2 – 4)\).
• Solve \( \arcsin\left(\frac{x}{3} + 5\right) = \arcsin\left(2x + 30\right) \).
• Solve \(x^2 – 6x = 16\) by completing the square.
• Solve \(y^2 = x^6 + 2x^3 + 4x^2 + 4x + 1\).
• Solve equation: \( \frac{6.9}{x} = \frac{3}{2} \).
• Solve for y: \(3.4 + 5.1(y + 8) = 85\).
• Solve the equation \(1.25x – 0.35x = 585\) for \(x\).
• Solve the equation \(25x^2 = 16\) for \(x\).
• Solve the equation \(3x^2 + 4x + 2 = -x\).
• Solve the equation \(x^2 – x + 5 = 5\).
• Solve the equation \(x^2 + 5 = -5x – 1\).
• Solve the equation: \( -3(x – 14) + 9x = 6x + 42 \).
• Solve the equation: \( -3x + 1 + 10x = x + 4 \).
• Solve this system of equations: \(y = x – 4\) and \(y = 6x – 10\).
• Solve: \(62x – 3 = 6 – 2x + 1\). Choices: \(x = -1, x = 0, x = 1, x = 4\).
• The function g is defined by \(g(x)=x(x-2)(x+6)^2\).
• The graph of \(y = 5x^2\) is the graph of \(y = x^2\).
• The graph shows the equation \(y = x^2 + 4x + 3\).
• The pair of linear equations \(y=0\) and \(y=-7\) has.
• The parabola \(y=3(x-5)^2\) has ____ x-intercept(s).
• The vertex of the graph of \(y = (x – 1)^2 – 5\) is.
• Three-quarters plus three-quarters equals how many cups? \( \frac{3}{4} + \frac{3}{4} = \frac{6}{4} = \frac{3}{2} = 1\tfrac{1}{2} \) cups.
• To find the x-intercept of the line \(5x + 18y = 4\), set \(y = 0\)
• Use the distributive property to expand \(3(x + 8)\).
• Vertex of \(g(x) = 8x^2 – 48x + 65\)
• What are the domain and range of \(f(x) = 2\left(3^{x}\right)\)?
• What are the domain and range of \(f(x)=2|x-4|\)?
• What are the roots of \(f(x) = x^2 – 48\)?
• What does \(y = -x\) mean in reflections?
• What does \(y = x\) mean in reflections?
• What does it mean to reflect over \(y = x\)?
• What does the \(b\) represent in \(y = m x + b\)?
• What does the y-intercept represent?
• What is \( \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \)?
• What is \( \frac{3}{4} \times \frac{1}{2} \) as a fraction?
• What is \( \frac{3}{8} \times \frac{2}{5} \) as a fraction?
• What is \(3x^3 – 11x^2 – 26x + 30\) divided by \(x – 5\)?
• What is a solution to \( (x + 6)(x + 2) = 60 \)?
• What is the factored form of \(2x^3 + 4x^2 – x\)?
• What is the factored form of \(3x + 24y\)?
• What is the factored form of \(8x^2+12x\)?
• What is the inverse of the function \(f(x)=2x+1\)?
• What is the quotient of \(x^2 + 7x + 12\) and \(x + 4\)?
• What is the slope in the equation \(y = 2x + 3\)?
• What is the slope of a line that is parallel to the line \(y = x + 2\)?
• What is the solution of the equation \(x^2 = 64\)?
• What is the solution to \(2\log_5(x)=\log_5(4)\)?
• What is the solution to \(4\log_4(x+8)=4^2\)?
• What is the sum of \( \frac{7x}{x^2 – 4} \) and \( \frac{2}{x + 2} \)?
• What is the true solution to \(2 \ln(4x) = 2 \ln(8)\)?
• What is the value of \(x\) if \(\frac{2}{5}x – 17 = 15\)?
• What is the vertex of \(f(x) = |x + 8| – 3\)?
• What is the x-intercept in \(y = mx + b\)?
• What is the y-intercept of \(3x + y = 12\)?
• What is the y-intercept of \(f(x) = 3x + 2\)?
• What is the y-intercept of \(f(x) = 3x + 2\)?
• What is true of the function \(g(x) = -2x^2 + 5\)?
• What number minus negative one equals four? \(x – (-1) = 4\)
• Which are the roots of \(x^2 + 10x + 25 = 0\)?
• Which equation is the inverse of \(y = 16x^2 + 1\)?
• Which equation shows the quadratic formula used correctly to solve \(7x^2 = 9 + x\) for \(x\)?
• Which expression is a factor of \(x^2+7x-30\)?
• Which expression is equivalent to \(\log_3(x + 4)\)?
• Which expression is equivalent to \(10x^2y + 25x^2\)? Choices: \(5x^2(2y + 5)\), \(5x^2y(5 + 20y)\), \(10xy(x + 15y)\), \(10x^2(y + 25)\).
• Which expression is equivalent to \(6(x + 2y) + 3 + 4y + 5\)?
• Which function has real zeros at \(x = 3\) and \(x = 7\)?
• Which function has zeros at \(x = -2\) and \(x = 5\)?
• Which graph represents \(y – 1 = 2(x – 2)\)?
• Which graph represents \(y – 1 = 2(x – 4)\)?
• Which graph represents the function \(f(x) = (x – 5)^2 + 3\)?
• Which graph represents the function \(f(x) = (x-5)^2 + 3\)?
• Which graph represents the function \(f(x) = |x|\)?
• Which graph represents the function \(y = x – 2\)?
• Which graph shows the axis of symmetry for the function \(f(x) = (x-2)^2 + 1\)?
• Which graph shows the solution to the system of linear inequalities \(x + 3y > 6\) and \(y \geq 2x + 4\)?
• Which is a solution to \( (x – 2)(x + 10) = 13 \)?
• Which is the graph of \(f(x) = 2(3^x)\)?
• Which is the graph of \(f(x) = x^2 – 2x + 3\)?
• Which is the graph of \(f(x)=-(x+3)(x+1)\)?
• Which is the graph of \(f(x)=100(0.7)^x\)?
• Which is the graph of \(g(x)=\left(\frac{1}{2}\right)^{x+3}-4\)?
• Which is the graph of \(y – 3 = x + 6\)?
• Which is the graph of \(y = \cos(x) + 3\)?
• Which is the graph of the linear inequality \(y \geq -x – 3\)?

Organic Chemistry

• alcohol + h2so4
• how to calculate hybridization
• how to calculate number of stereoisomers
• how to calculate the degree of unsaturation
• How to estimate \(\mathrm{p}K_a\) values from structure.

Physical Chemistry

• \( \delta g = \delta g + r t \ln q \).
• \(\Delta E = q + w\).
• calculate boiling point
• calculate the value of the equilibrium constant for the reaction
• how to calculate \( \Delta h \)
• how to calculate activation energy
• how to calculate e cell
• how to calculate enthalpy of combustion
• how to calculate enthalpy of solution
• how to calculate evaporation rate
• how to calculate freezing point depression
• how to calculate heat capacity \(Q\)
• how to calculate heat capacity of calorimeter
• how to calculate osmotic pressure
• how to calculate partial pressure
• how to calculate radial nodes
• how to calculate rate constant
• how to calculate rate of effusion
• how to calculate vapor pressure of a solution

Trigonometry

• Euler’s formula \(e^{ix} = \cos(x) + i \sin(x)\).
• Solve \( \arcsin\left(\frac{x}{3} + 5\right) = \arcsin\left(2x + 30\right) \).
• Which is the graph of \(y = \cos(x) + 3\)?