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Unit 4 Test - Expressions and Equations

Total questions: 21

Worksheet time: 11mins

Name
Class
Date
1.

SOLVE.

50 = -2.5x

a)

X = 20

b)

X = -20

c)

X = 125

d)

X = -125

2.

SIMPLIFY.

18M - 9V + 6V - 7M

a)

11M - 3V

b)

25M - 15V

c)

-11M + 3V

d)

-25M + 15V

3.

FACTOR.

24a + 12b - 30

a)

24 ( 2a + b - 6)

b)

6 ( 12a + 6b - 15)

c)

6 (4a + 2b - 5)

d)

-2 ( 12a + 6b - 15)

4.

If x = -1, then which of the following equations makes a true statement?

a)

4x + 9 = 20

b)

-4x - 5 = -15

c)

-3x + 15 = 18

d)

-5x - 15 = -22

5.

Mark’s brother is five years older than Mark. Their combined ages add up to 23. How old is Mark?

a)

9 years old

b)

18 years old

c)

5 years old

d)

25 years old

6.

Five sisters each bought matching scarves and two pair of socks. The scarves were priced at $12.00. If the total bill for all 5 sisters was $125.00, what was the price of one pair of socks?

a)

$12

b)

$8

c)

$6.50

d)

$10.75

7.

x32=9\frac{x-3}{-2}=9

a)

24

b)

-24

c)

15

d)

-15

8.

Simplify.

1.8y - 9.3y - 6.3y

a)

-13.8y

b)

16.4y

c)

-16.4y

d)

13.8y

9.

Solve.

x8+6=32\frac{x}{8}+6=32

a)

3.25

b)

304

c)

208

d)

-206

10.

Solve.

-3x - 10 = 32

a)

14

b)

-14

c)

- 7 1217\ \frac{1}{21}

d)

7 1217\ \frac{1}{21}

11.

Simplify.

12(12k2)\frac{1}{2}\left(12k-2\right)

a)

6k + 3

b)

24k - 12

c)

-6k - 3

d)

6k - 1

12.

Solve.

5x + 9 = 65

a)

11 1511\ \frac{1}{5}

b)

11 15-11\ \frac{1}{5}

c)

14.8

d)

-14.8

13.

Solve.

X - 9.5 = -10.5

a)

1

b)

-1

c)

20

d)

-20

14.

Solve.

13(9k+12)=15\frac{1}{3}\left(9k+12\right)=15

a)

x=3 23x=3\ \frac{2}{3}

b)

x=6 13x=6\ \frac{1}{3}

c)

x=3x=-3

d)

x = 6x\ =\ -6

15.

Felix joins a local recreation center to play basketball. The recreation center charges a $20 annual fee, plus an additional $15 per month for usage of the

Basketball courts. Felix prepays by writing a check for $185. For how many months did Felix prepay?

a)

12 months

b)

6 months

c)

11 months

d)

9 months

16.

A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which equation could be used to find x, the number of days the car be rented if they want to spend exactly $760.00 on the van rental?

a)

75.00 + 160.00x = 760.00

b)

75.00x - 160.00 = 760.00

c)

75.00 - 160.00x = 760.00

d)

75.00x + 160.00 = 760.00

17.

Solve.

- ( 18 + 4x ) = 8

a)

6 126\ \frac{1}{2}

b)

2 12-2\ \frac{1}{2}

c)

6 12-6\ \frac{1}{2}

d)

2 122\ \frac{1}{2}

18.

Write an expression to represent the perimeter of a rectangle with a width of 2x - 8 and a length of x + 4.

a)

6x - 8

b)

6x -20

c)

2x - 20

d)

2x + 12

19.

Solve.

-3x + 8 = 11

a)

X = 1

b)

X = 6

c)

X = -1

d)

X = -6

20.

Solve.

2 ( 2.5x +8 ) = 26

a)

X = 7.2

b)

X = -2

c)

X = 6

d)

X = 2

21.

5x=255-x=25

a)

20

b)

-20

c)

30

d)

-30