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Resources

Write a quadratic function from its x-intercepts and another point

Write the standard form of

y=5(x-8)^{2}+4

Write the equation of the parabola that passes through the points

(-10,14)

(-8,0)

(-3,0)

. Write your answer in the form

y=a(x–p)(x–q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-5,0)

(1,6)

(3,0)

. Write your answer in the form

y=a(x–p)(x–q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-4,0)

(-3,4)

(1,0)

. Write your answer in the form

y=a(x–p)(x–q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola shown in the graph.

(-3,0)(-2,-6)(1,0)

Write your answer in the form

y=a(x–p)(x–q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola shown in the graph.

(-5,4)(-4,0)(-3,0)

Write your answer in the form

y=a(x–p)(x–q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-6,0)

(1,0)

(-5, -42)

. Write your answer in the form

y=a(x-p)(x-q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(- 2,0)

(1, - 4)

(3,0)

. Write your answer in the form

y=a(x-p)(x-q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation in standard form

f (x) = ax^2 + bx + c

. By using given points:

(-10, 10)

(-7, 4)

(-11, 20)

2x+3y=-8

\newline

3y^{2}-8y=2x+10

\newline

(x_{1},y_{1})

(x_{2},y_{2})

are distinct solutions to the system of equations shown, what is the product of the

x_{1}

x_{2}

(x-7)^{2}+(y+5)^{2}=16

\newline

The given equation represents a circle in the

xy

(x,-5)

is a point on the circle, what is a possible value of

x

\newline

7y^2 = 50x-150

\newline

y =

\frac{3-x}{2}

\newline

x_{1},y_{1}

x_{2},y_{2}

are distinct solutions to the system of equations shown, what is the product of the

y_{1}

y_{2}

\newline

Solve the following equation for

x

. Express your answer in the simplest form.

\newline

7(-8 x+7)=2(6 x+4)

\newline

Solve the following equation for

x

. Express your answer in the simplest form.

\newline

8(-2 x-7)=2(x+8)

\newline

Solve the following equation for

x

. Express your answer in the simplest form.

\newline

2(-7 x-7)=-7 x+28

\newline

Solve the following equation for

x

. Express your answer in the simplest form.

\newline

-4(-4 x+5)=5(-2 x-7)

\newline

Write the equation of the parabola that passes through the points

(-4,0)

(3,0)

(-1,-6)

. Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-2,28

(-1,0

(5,0

). Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-5,28

(2,0)

(3,0)

. Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-3,0

(-1,12

(2,0

\newline

Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(3,0)

(5,0)

(6,-12)

. Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-1,0)

(2,0)

(1,5)

. Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-3,24

(-2,0

(3,0

). Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-2,0

(2,0)

(3,-15)

. Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-1,12

(-2,0

(1,0

). Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-5,0

(-2,9

(3,0

\newline

Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(7,0)

(6,-1)

(-1,0)

. Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-5,0

(-7,-40

(-2,0

\newline

Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-6,0

(1,0

(-5,-42

). Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(2,24)

(4,0)

(-2,0)

. Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(2,0)

(-1,0)

(3,8)

. Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points

(-7,-7)

(-5,0)

(-2,0)

. Write your answer in the form

y = a(x - p)(x - q)

a

p

q

are integers, decimals, or simplified fractions.

Which set of points does not represent a one-to-one function?

\newline

\{(9,8),(8,9),(5,6),(6,4),(1,7)\}

\newline

\{(9,6),(0,4),(3,5),(1,9),(5,6)\}

\newline

\{(1,5),(4,0),(8,2),(3,1),(7,8)\}

\newline

\{(2,7),(5,4),(4,0),(1,5),(3,2)\}

Which set of points does not represent a one-to-one function?

\newline

\{(1,1),(2,8),(7,5),(8,9),(9,6)\}

\newline

\{(8,3),(9,7),(7,6),(7,2),(1,8)\}

\newline

\{(3,5),(7,4),(8,0),(9,2),(0,3)\}

\newline

\{(6,4),(1,8),(9,9),(4,6),(5,7)\}

Which set of points does not represent a one-to-one function?

\newline

\{(7,8),(5,5),(3,0),(4,8),(0,1)\}

\newline

\{(5,4),(7,1),(9,6),(6,8),(4,2)\}

\newline

\{(4,6),(0,2),(6,8),(2,5),(8,9)\}

\newline

\{(8,1),(9,9),(7,7),(1,3),(5,0)\}

Which set of points does not represent a one-to-one function?

\newline

\{(0,6),(6,3),(5,2),(1,8),(6,5)\}

\newline

\{(5,5),(0,8),(9,4),(7,9),(4,0)\}

\newline

\{(3,4),(2,3),(6,0),(4,2),(8,7)\}

\newline

\{(8,7),(2,1),(3,6),(1,2),(6,4)\}

Which set of points does not represent a one-to-one function?

\newline

\{(9,0),(5,2),(0,8),(2,4),(6,3)\}

\newline

\{(0,6),(1,4),(2,9),(6,1),(3,5)\}

\newline

\{(2,0),(6,8),(8,7),(9,5),(5,3)\}

\newline

\{(2,4),(5,8),(9,5),(6,0),(6,9)\}

A triangle has side lengths of

(9.3 p-1.3 q)

(9.6 p+6.9 r)

centimeters, and

(4.2 r+3.1 q)

centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

\newline

7.3 r+18.9 p+5.6 q

\newline

8 p q+16.5 p r+7.3 q r

\newline

8.7 q r+23.1 p r

\newline

18.9 p+1.8 q+11.1 r

A triangle has side lengths of

(2.1 w-6.3)

(8.5 w+3.4)

centimeters, and

(8.7 x+9.5)

centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

\newline

18.2 x-4.2 w+11.9

\newline

10.6 w+8.7 x+6.6

\newline

18.2 x+7.7 w

\newline

18.2 x+10.6 w-2.9

A triangle has side lengths of

(2.3 r-8.2 s)

(7.6 r+2.8 t)

centimeters, and

(1.5 t-2.5 s)

centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

\newline

10.4 r t-s t-5.9 r s

\newline

9.9 r-10.7 s+4.3 t

\newline

9.9 r-6.7 s+0.3 t

\newline

11.4 r t-7.9 s t

Given the definitions of

f(x)

g(x)

below, find the value of

g(f(0))

\newline

\begin{array}{l} f(x)=3 x^{2}+x+11 \\ g(x)=-3 x-7 \end{array}

\newline

Given the definitions of

f(x)

g(x)

below, find the value of

f(g(-9))

\newline

\begin{array}{l} f(x)=2 x^{2}+4 x-8 \\ g(x)=-x-8 \end{array}

\newline

Given the definitions of

f(x)

g(x)

below, find the value of

(f \circ g)(0)

\newline

\begin{array}{l} f(x)=3 x-3 \\ g(x)=3 x^{2}-6 x-1 \end{array}

\newline

Given the definitions of

f(x)

g(x)

below, find the value of

g(f(0))

\newline

\begin{array}{l} f(x)=2 x+2 \\ g(x)=x^{2}+7 x-11 \end{array}

\newline

Given the definitions of

f(x)

g(x)

below, find the value of

f(g(-4))

\newline

\begin{array}{l} f(x)=-5 x+9 \\ g(x)=2 x^{2}+2 x-13 \end{array}

\newline

Given the definitions of

f(x)

g(x)

below, find the value of

f(g(0))

\newline

\begin{array}{l} f(x)=3 x^{2}+5 x+9 \\ g(x)=3 x-1 \end{array}

\newline

Given the definitions of

f(x)

g(x)

below, find the value of

g(f(2))

\newline

\begin{array}{l} f(x)=2 x^{2}+2 x-7 \\ g(x)=4 x+10 \end{array}

\newline

Write the log equation as an exponential equation. You do not need to solve for

\mathrm{x}

\newline

\log \left(x^{2}+3 x+14\right)=\frac{1}{4}

\newline

Solve for the exact value of

x

\newline

2 \ln (8 x+1)+14=30

\newline

Solve the equation

2^{3 x-1}=5\left(3^{1-x}\right)

. Give your answer in the form

\frac{\ln a}{\ln b}

a

b