Free Printable Algebra 2 Unit 2 Review

1.

Find the domain and range of the following function.

a)

D= {0, 4, 9, 15}

R= {-1}

b)

D= {-1}

R={0, 4, 9, 15}

c)

D={0, -1, 4, 9}

R={15, 9, 4, 0}

2.

Is the following relation a function?

a)

Yes

b)

No

3.

Evaluate the following function.

$g\left(x\right)=x^2-7x,\ find\ g\left(-2\right)$

(a)

4.

Find the x- and y-intercept of the following equation.

$y=5x-1$

a)

$x-int:\ \left(0,-\frac{1}{5}\right)$ $y-int:\ \left(1,0\right)$

b)

$x-int:\ \left(-\frac{1}{5},0\right)$ $y-int:\ \left(0,1\right)$

c)

$x-int:\ \left(\frac{1}{5},0\right)$ $y-int:\ \left(0,-1\right)$

d)

$x-int:\ \left(0,\frac{1}{5}\right)$ $y-int:\ \left(-1,0\right)$

5.

What is the equation for slope intercept form?

a)

y=mx+b

b)

-y=mx+b

c)

y=mx-b

d)

y=-mx+b

6.

What is the equation for point slope form?

a)

$y+y_1=m\left(x+x_1\right)$

b)

$y-y_1=m\left(x-x_1\right)$

c)

$y-y=m\left(x-x\right)$

7.

What is the equation for standard form?

a)

Ax+By=C

b)

By+Ax=C

c)

Ax+By+C=0

d)

Ax-By=C

8.

Find the regression equation for the data set.

a)

$y=10.64-0.20x$

b)

$y=0.20x+10.63$

c)

$y=-0.20x-10.64$

d)

$y=0.20x+10.64$

9.

Solve the system below by elimination.

$x=y-4$

$7x-2y=17$

a)

No solution

b)

Infinite Solutions

c)

(5, 9)

d)

(9,5)

10.

What is the first step in solving the following equations using elimination? $2y=-24-8x$

$6x+18=5y$

a)

The equations are already lined up.

b)

Line up the equations: $-8x-24=2y$ $6x+18=5y$

c)

Line up the equations: $2y-8x=-24$ $5y-6x=18$

11.

What are the steps for solving a system of 3 variables?

a)

2nd

$x^{-1}$ /matrix

arrow right 2 times

3x4

enter values

2nd

mode/quit

2nd

$x^{-1}$ /matrix

arrow right 1 time

arrow down to option B: reef(

enter

2nd

matrix

enter 2 times

b)

$x^{-1}$ /matrix

arrow right 2 times

3x4

enter values

2nd

mode/quit

2nd

$x^{-1}$ /matrix

arrow right 1 time

arrow down to option B: reef(

enter

2nd

matrix

enter 2 times

c)

2nd

$x^{-1}$ /matrix

arrow right 1 time

3x4

enter values

2nd

$x^{-1}$ /matrix

arrow right 1 time

arrow down to option B: reef(

enter

2nd

$x^{-1}$ /matrix

enter 2 times

12.

Which ordered pairs represent solutions to the linear inequality below? Choose all that apply.

$x-4y<-12$

a)

(1, -8)

b)

(3, 5)

c)

(-8, -3)

d)

(-12, 0)

e)

(-7, 9)

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

For each boat he sells, Mick earns $149 in addition to 2% of the purchase price of the boat as commission. If p represents the purchase price of the boat, which equation represents Mick’s commission, c?

a)

c=149+.2p

b)

c=149+.02p

c)

p=149+.2c

d)

p=149+.02c

16.

Find the range of the function below. State whether the relation is a function or not.

a)

R={-5, -2, 1, 2}

Function

b)

R={-5, -2, 1, 2}

Not a Function

c)

R={-4, 0, 3}

Function

d)

R={-4, 0, 3}

Not a Function

17.

Solve the system below by substitution.

6𝑥 − 𝑦 = −23

2𝑥 + 5𝑦 = −13

a)

(1,4)

b)

(-4,-1)

c)

(-1,-4)

d)

(4,1)

18.

To save money for prom this weekend, Tom is going to walk his neighbor’s dog for $6 per hour and was cars for $7.50 per hour. His mother said he can work no more than 15 hours to ensure he keeps up with his homework. Tom needs to make at least $75 to cover prom expenses. If 𝑑 represents the number of hours walking his neighbor’s dog and 𝑐 represents the number of hours washing cars, which system of inequalities represents this situation?

a)

$6d+7.5c\le15$ $d+c\ge75$

b)

$6d+7.5c\ge15$ $d+c\le75$

c)

$6d+7.5c\le75$ $d+c\ge15$

d)

$6d+7.5c\ge75$ $d+c\le15$

Algebra 2 Unit 2 Review

Total questions: 18

Worksheet time: 44mins

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