Free Printable UNIT 4 TEST REVIEW

1.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

a)

11x + 6 = 39

b)

11x - 6 = 39

c)

11 + 6x = 39

d)

66x = 39

2.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

a)

.50x + 20 = 35

b)

.50x = 35

c)

.50 + 20x = 35

d)

.50x - 20 = 35

3.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

4.

Which situation can be represented by the equation
40x + 20 = 200?

a)

Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

b)

Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money?

c)

Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

d)

Mitch owed Jason $200. Mitch already paid back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money?

5.

Five less than twice a number is equivalent to 47.

a)

5 - 2x = 47

b)

2x - 5 = 47

c)

5x - 2 = 47

d)

2 - 5x = 47

6.

Five times a number is equivalent to thirty-two less than nine time the same number.

a)

5x - 32 = 9x

b)

5x = 9x - 32

c)

5x = 9x + 32

d)

5x - 9x = 32

7.

Hannah is throwing a surprise birthday party for her friend Martee. The party will be a Go N' Bananas and will cost Hannah $8 per person. She also has a $4 coupon to use. Hannah has $68 to spend on the party. Write an equation, using x as the variable, to find the number of guests that can be invited to the party.

a)

8x - 4 = 68

b)

x = 9

c)

x + 150 = 270

d)

9 guests

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

a)

150x + 24 = 180 + 20x

b)

150 + 24x = 180 + 20x

c)

180 - 150 = 24 x + 20x

d)

150 - 24x = 180 - 20x

13.

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

a)

4x=472

b)

9x=472

c)

4+9x=472

d)

4+x=472

14.

Rachel and Sharon are splitting up their Pokemon cards. Rachel has 4 fewer than 3 times as many as Sharon. Together they have 100 cards. Which equation could be used to solve for how many cards Sharon had originally?

a)

n + (3n - 4) = 100

b)

n - (3n - 4) = 100

c)

n + (4 - 3n) = 100

d)

4 - 3n = 100

15.

Solve the equation:

4-2(x-3)=24

a)

x = -7

b)

x = 7

c)

x = 14

d)

x = -14

16.

Solve the equation:

3x+2(4x-4)=3

a)

x = 4

b)

x = 3

c)

x =2

d)

x = 1

17.

a)

x = 1

b)

x = 2

c)

x = 7

d)

x = 8

18.

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

19.

Solve for x:
$4\left(1-x\right)+3x=-2\left(x+1\right)$

a)

$x=-6$

b)

$x=6$

c)

$x=3$

d)

$\phi$

20.

Solve:
$3x+15=3(x+5)$

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

21.

Solve the equation:
$3x-8=3(x-4)+1$

a)

$x=-8$

b)

No Solution

c)

Infinitely Many Solutions

22.

Solve the equation:

4(x+8)-4=34-2x

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

23.

Find the value of the unknown variable

a)

A

b)

B

c)

C

d)

D

24.

Simplify the equation: 2/5(3x - 1/2) = 4/5

a)

5/6

b)

2/3

c)

3/10

d)

-5/6

25.

Solve the equation: 1/3(2x + 1/4) - 1/2 = 1/6

a)

7/8

b)

5/6

c)

3/4

d)

-1/8

26.

w/2.76 + 13.56 = 29.24

a)

67.1424

b)

-67.1424

c)

-43.2768

d)

43.2768

27.

(a - 7.3) / 4.5 = 2.4

a)

-18.1

b)

18.1

c)

43.64

d)

-43.65

28.

solve

a)

k=20.6

b)

k=53.9

c)

k=2.1

d)

k=-2.1

29.

a)

1/7

b)

47/36

c)

7

d)

23

30.

Solve the equation: $\frac{3}{4}t=\frac{2}{3}$

a)

-3

b)

$\frac{3}{5}$

c)

$\frac{8}{9}$

d)

$\frac{9}{8}$

31.

$\frac{-5}{6}x=\frac{3}{4}$

a)

$-\frac{9}{10}$

b)

-9

c)

-10

d)

8/10

32.

$\frac{1}{4}x+x=-3+\frac{1}{2}x$

a)

-4

b)

4

c)

-4

d)

1/4

33.

Solve for x.

\frac{3}{4}\left(x-4\right)=-\frac{1}{4}\left(x-16\right)

(a)

34.

Solve for x.

\frac{1}{2}\left(\frac{1}{2}x+6\right)=\frac{5}{4}\left(x-6\right)

a)

$10\ \frac{1}{2}$

b)

$-10\ \frac{1}{2}$

c)

$10\ \frac{1}{4}$

d)

$-10\ \frac{1}{4}$

35.

solve for m

a)

-15

b)

15

c)

30

d)

-30

36.

solve for w

a)

8/3

b)

32/3

c)

5/8

d)

-9/8

37.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

38.

Solve for c:

a)

c = -1

b)

c = 5/2

c)

c = 1

d)

c = 22

39.

What is the solution to the equation?

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

40.

How many solutions does this equation have?

-4(3x + 2) = 3(-4x + 5)

a)

No Solution

b)

One Solution

c)

Infinite Solution

41.

How many solutions does this equation have?

$-2\left(x+1\right)=x-3x-2$

a)

one solution

b)

no solution

c)

infinite solutions

42.

How many solutions does this equation have?

$4-2x=2x-4$

a)

one solution

b)

no solution

c)

infinite solutions

43.

The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is 150 inches, find the dimensions.

WHICH EQUATION WILL HELP YOU ANSWER THESE QUESTIONS?

a)

2(x) + 2(3x-5)=150

b)

2(x) + 2(3x+5)=150

c)

x + 3x-5=150

d)

4x+5=150

44.

Tyree bought a canvas and 8 tubes of paint for $24.95. If the canvas cost $6.95, how much did each tube of paint cost?

a)

8t - 6.95 = 24.95

b)

8/t + 6.95 = 24.95

c)

t/8 + 6.95 = 24.95

d)

8t + 6.95 = 24.95

45.

Solve.

-(-8x - 8) = 104

a)

x = 12

b)

x = 14

c)

x = -10

d)

x = -9

46.

Mr Carrillo's family bought lunch from Culvers. They also bought some sodas from Quick Trip for $5.00. The meals cost $6.00 each. The total cost of the lunch and soda was $41.00. Let x represent the cost of the number of meals that Mr. Carrillo bought. Write the equation and solve for x.

a)

-5+6x = 41, 4 meals

b)

6x + 5 = 41, 6 meals

c)

6x = 36 meals

d)

5 + 6x = 41, 7 meals

47.

Eddie scored 27 points more than half of what Duncan scored. Eddie scored 58 points. Which equation represents the situation to find how many points Duncan scored?

a)

1/2d + 27

b)

d + 27 = 58

c)

1/2d + 27 = 58

d)

1/2d - 27 = 58

48.

Write an equation to represent this word problem.

a)

24 - 7p = 10

b)

24 + 7p = 10

c)

24 = 7p - 10

d)

Can't do it

49.

The steps in solving $5b-6=24$ are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

50.

If one roll of masking tape costs $1.15, how many rolls can Emma buy with $5.75?

a)

1.15(5.75) = x

b)

5.75x = 1.15

c)

1.15x = 5.75

d)

x = 1.15/ 5.75

UNIT 4 TEST REVIEW

Total questions: 50

Worksheet time: 4hrs 10mins

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