Free Printable Unit 9 Test Review

1.

Solve the inequality.

$-5x\ -\ 7\ <\ 28$

a)

x > -7

b)

x < -7

c)

x > $\frac{21}{5}$

d)

x < $\frac{-21}{5}$

2.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

3.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

4.

Graph after solving: $4\left(x-12\right)>-24$

a)

b)

c)

d)

5.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide by any number

c)

subtract or multiple by a negative number

d)

multiple or divide by a negative number

6.

When graphing b< 6 would you use an open or closed circle?

a)

Open

b)

closed

7.

$x\ \ge\ -5$

What would the graph look like for your solution?

a)

Closed circle; shaded to the left

b)

Closed circle: shaded to the right

c)

Open circle; shaded to the right

d)

Open circle; shaded to the left

8.

$6x+13<5\left(2x-3\right)$

a)

$x>7$

b)

$x<7$

c)

$x>-7$

d)

$x<-7$

9.

$−5(2𝑥+2)+5x>15$

a)

$x<-5$

b)

$x<5$

c)

$x>5$

d)

$x>-5$

10.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

11.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

a)

125x + 55 ≤ 600

b)

125x + 55 ≥ 600

c)

125x + 55 > 600

d)

125x + 55 < 600

12.

A willow tree is 5.1 feet tall and grows at a rate of 2.5 feet a year. After how many years will the tree have reached no more than 60 feet tall?

a)

5.1 + 2.5y ≥ 60

b)

60 < 5.1 + 2.5

c)

5.1 + 2.5y ≤ 60

d)

5.1 + 2.5y > 60

13.

Is (5, 3) a solution to 3x - 4y > 3 ?

a)

Yes

b)

No

14.

Is (-3, -5) a solution to -2x + 3y < -9 ?

a)

Yes

b)

No

15.

Is (2, 3) a solution?

a)

Yes

b)

No

16.

Is (-1, 1) a solution?

a)

Yes

b)

No

17.

$y\le5x-1$

Is (-2, -15) a solution to the inequality?

a)

Yes

b)

No

18.

$6x+2y\le8$

Is (-10, 10) a solution to the inequality?

a)

Yes

b)

No

19.

$y\ge4x-5$

Is (3, 4) a solution to the inequality?

a)

Yes

b)

No

20.

|x - 6|= 14

a)

x = 8

b)

x = 20

c)

x = -8 or x = 20

d)

No Solution

21.

|x + 1| = 8

a)

x = -7 or x = 9

b)

x = -9 or x = 7

c)

x = 7

d)

No Solution

22.

|2x - 3| = 15

a)

x = -6 or x = 9

b)

x = -9 or x = 6

c)

x = 9

d)

No Solution

23.

Solve:
3 | 2x + 7| - 7 = 20

a)

x = 2 and -16

b)

x = 1 and -8

c)

x = 8 and -1

d)

x = 8 and -8

24.

Solve:

$a-6<15+8a$

a)

$a<-3$

b)

$a>-3$

c)

$a\le3$

d)

$a\ge3$

25.

| 2x - 3 | + 5 = 12

a)

x = 5 and -2

b)

x = 2 and -5

c)

x = -2 and -5

d)

x = 5 and 2

26.

a)

$y<-2x+5$

b)

$y\le-2x+5$

c)

$y\ge-2x+5$

d)

$y>-2x+5$

27.

a)

$y<4x+4$

b)

$y\le4x+4$

c)

$y\ge4x+4$

d)

$y>4x+4$

28.

a)

$y<\frac{1}{3}x+3$

b)

$y\le\frac{1}{3}x+3$

c)

$y\ge\frac{1}{3}x+3$

d)

$y>\frac{1}{3}x+3$

29.

a)

$y<-2x+2$

b)

$y\le-2x+2$

c)

$y\ge-2x+2$

d)

$y>-2x+2$

30.

Order the algorithm (steps) to elimination

a)

Align like terms vertically

b)

Determine the variable to eliminate

c)

multiply equation(s) to have opposite coefficients

d)

add vertically

e)

Solve for variable

1)

2)

3)

4)

5)

31.

Solve using elimination:

a)

(-2, 4)

b)

(2, -14)

c)

(-12,-4)

d)

(0, -5)

32.

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

a)

(-4, -2)

b)

(12, -34)

c)

(4, -18)

d)

(-2, -6)

33.

Solve:
y = 7x + 7
2y + 2x = -18

a)

(5, 0)

b)

(9, 18)

c)

(-2, -7)

d)

(1, 16)

34.

Write an exponential function in the form y=ab^x that goes through points (0,9) and (2, 81).

a)

y=9(3)^x

b)

y=2(9)^x

c)

y=9(2)^x

d)

y=8(3)^x

35.

Write an exponential function in the form y=ab^x that goes through points (0,4) and (2,324).

a)

y=4(9)^x

b)

y=9(4)^x

c)

y=2(4)^x

d)

y=4(81)^x

36.

Write an exponential function in the form y=ab^x that goes through points (0,3) and (2,48).

a)

y=2(3)^x

b)

y=3(2)^x

c)

y=4(3)^x

d)

y=3(4)^x

37.

Match the following

a)

An initial value of 55 that grows at a rate of 13%.

1.

$y\ =\ 55\left(1.13\right)^x$

b)

An initial value of 55 that declines at a rate of 13%.

2.

$y\ =\ 55\left(.87\right)^x$

c)

An initial value of 55 that grows at a rate of 87%.

3.

$y\ =\ 55\left(1.87\right)^x$

d)

An initial value of 55 that declines at a rate of 87%.

4.

$y\ =\ 55\left(.13\right)^x$

38.

Determine whether the ordered pair, (6,6) is a solution for the inequality. $y\ <\frac{1}{3}\left(x\ -3\right)$

a)

False

b)

True

Unit 9 Test Review

Total questions: 38

Worksheet time: 3hrs 7mins

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