Free Printable Final exam revision

1.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

2.

Solve -3 + 2x = -1

a)

x = 3

b)

x = 2

c)

x = 1

d)

x = -2

3.

Solve 9 - 5t = 24

a)

t = -3

b)

t = 3

c)

t = -6.6

d)

t = 12

4.

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

5.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

6.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

7.

-5 = 3m - 14

a)

3

b)

-3

c)

12

d)

-6.3

8.

Solve the equation

a)

28

b)

32

c)

29

d)

-28

9.

Solve for y

a)

15

b)

14

c)

-14

d)

9

10.

Four more than twice a number is 8.

a)

8n + 4 = 2

b)

4n + 2 = 8

c)

2n + 8 = 4

d)

2n + 4 = 8

11.

Three more than four times a number is 15.

a)

4x + 3 = 15

b)

3x + 4 = 15

c)

4x + 15 = 3

d)

15x + 3 = 4

12.

Seven more than the quotient of a number and 2 is 10.

a)

2/m + 7 = 10

b)

n/7 + 2 = 10

c)

n/2 + 7 = 10

d)

n/2 + 10 = 7

13.

The difference between 5 times a number and 3 is 12.

a)

3h - 5 = 12

b)

5h - 12 = 3

c)

5h - 3 = 12

d)

12h - 3 = 3

14.

Nine more than the quotient of a number and 4 is 12.

a)

x/4 + 9 = 12

b)

x/4 -9 = 12

c)

x/9 + 4= 12

d)

x/9 - 4 = 12

15.

WRITE AN EQUATION:

Damian has a job scooping snow. He earns $15 per driveway. He spends $9 on a new shovel. Last week, he made $96. How many driveways did he scoop?

a)

15 - 9x = 96

b)

15x - 9 = 96

c)

15x + 9 = 96

d)

15 + 9x = 96

16.

WRITE AN EQUATION:

An electrician charges $90 per hour along with a $60 traveling fee. If your bill was $600, how many hours (h) did it take the electrician to complete the job?

a)

90h - 60 = 600

b)

90h + 60 = 600

c)

60h + 90 = 600

d)

60h - 90 = 600

17.

WRITE AN EQUATION:

Steven was getting rid of some baseball cards. He had 68 cards and gives 4 cards to each of his friends. He was left with 16. How many friends did he give cards to?

a)

68 + 4x = 16

b)

68 - 4x = 16

c)

68x + 4 = 16

d)

68x -4 = 16

18.

WRITE AN EQUATION:
5 less than half a number is 25

a)

$\frac{x}{2}-\ 5\ =\ 25$

b)

$\frac{x}{2}+5=25$

c)

$2x-5\ =\ 25$

d)

$2x\ +\ 5\ =\ 25$

19.

Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?

a)

4 + 9x = 73

b)

4x = 73

c)

4x + 9 = 73

d)

9x + 4 = 73

20.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

21.

Solve:

-2(x-1) = 6

a)

x = 2

b)

x = -2

c)

x = 4

d)

x = -4

22.

How do you know when you need to distribute?

a)

You never have to distribute

b)

There is an equal sign

c)

There are exponents

d)

There are parenthesis

23.

5(x-3)=40

a)

11

b)

43/5

c)

38

d)

37/5

24.

Did Sarah make an error? If so, which is the best description of her error?

a)

She didn't distribute correctly. The second step should read 3x - 12 = 24

b)

She didn't distribute correctly. The second step should read -3x - 12 = 24

c)

She didn't distribute correctly. The second step should read -3x + 12 = 24

d)

She didn't make an error.

25.

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)

0.50x + 20 = 35

b)

0.50x = 35

c)

0.50 + 20x = 35

d)

0.50x - 20 = 35

26.

Write an equation:

Chelsea booked a three-night cruise for her family. It cost $780 for the rooms plus $21 per person for meals. Chelsea paid $911 for the cruise.

a)

$911=21p+780$

b)

$911=21+780p$

c)

$780=21p-911$

d)

$21=911-780p$

27.

Solve for x:
-30 - 5x = 120

a)

x = 18

b)

x = -18

c)

x = 30

d)

x = -30

28.

A server at The Main Street Grill earned $7.80 per hour plus $87.40 in tips.

Write an equation that can be used to determine the number of hours, h, the server worked to earn $136.15.

a)

7.80h + 87.40 = 136.15

b)

7.80 + 87.40h = 136.15

c)

136.15 + 87.40h = 7.80

d)

7.80h + 136.15 = 87.40

29.

Write the equation that would be used to solve:

Kona spent half of his weekly allowance on clothes. To earn more money his parents let him wash the car for $5. What is his weekly allowance if he ended with $15?

a)

$15=\frac{a+5}{2}$

b)

$\frac{1}{2}a+5=15$

c)

$2a+5=15$

d)

$a=\frac{15-5}{2}$

30.

(2x + 3) + (x + 5)

a)

3x + 5

b)

3x + 8

c)

2x + 5

d)

2x + 8

31.

Find the sum:
2(x + 3) + 3(3x - 2)

a)

11x

b)

11x - 12

c)

11x + 12

d)

0

32.

(10x + 2) - (8x - 4)

a)

2x - 2

b)

2x + 6

c)

18x + 6

d)

18x - 2

33.

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

a)

3x - 28

b)

5x + 2x -27

c)

7x² + 11

d)

7x -27

34.

Find the difference:
(8 - u) - (5u + 1)

a)

6u + 7

b)

-4u + 7

c)

-6u + 7

d)

4u - 7

35.

(4y - 8) - (3y - 9)

a)

7y - 17

b)

y + 1

c)

y - 17

d)

7y + 17

36.

Zane bought a new phone. There was a $200 down payment plus a $10 monthly fee. Write an algebraic expression for the cost for "m" months.

a)

200+10m

b)

200m+10m

c)

200m+10

37.

Tia has 15 dresses. One day, she buys "d" more dresses. Write an expression for the new number of dresses.

a)

15 + d

b)

15d

c)

15 - d

38.

Which expression represents the perimeter?

a)

3x + 3

b)

4x + 3

c)

4x + 6

d)

6x + 6

39.

Which expression represents the area of the rectangle?

a)

2x² + 3x

b)

2x² + 3

c)

3x + 3

d)

4x² + 9

40.

Which expression represents the perimeter of the triangle?

a)

8xy + 3

b)

5x + y + 3

c)

5x + 4y + 3

d)

6x + 3y + 3

41.

Which expression represents the perimeter of the triangle?

a)

4x + 4y + 5

b)

6xy + 7

c)

6x + 2y + 5

d)

10xy + x + 2y

42.

Which expression represents the perimeter of the rectangle?

a)

12x - 2

b)

6x + 1

c)

12x + 2

d)

3x

43.

Which expression represents the area of the rectangle?

a)

12x - 2

b)

12x - 1

c)

8x - 2

d)

36x² - 2

44.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

45.

Factor in simplest form: 6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

46.

Write in standard form: -3(2p - 3q)

a)

-6p + 9q

b)

-6p - 9q

c)

6p - 9q

d)

5p +9q

47.

Factor:
17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

Can't be factored

48.

True or False?
2x + 6 = 2(x + 3)

a)

True

b)

False

49.

Ms. Carmean simplified the expression 3(2x-4) to 6x-4. Is she correct?

a)

Yes

b)

No

50.

Factoring is the opposite of distributing.

a)

True

b)

False

51.

Factor completley: 12x + 8y - 4z

a)

4( x + y + z)

b)

4 ( 3x - 2y + z)

c)

2 ( 6x + 4y -2z)

d)

4 ( 3x + 2y - z)

52.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

53.

Factor -4x out of:

-8x²+24x

a)

4x(-2x + 6)

b)

2(-4x - 13)

c)

-2x(-4x +13)

d)

-4x(2x - 6)

54.

16x²y + 4xy

a)

4xy(6x)

b)

4xy(4x + 1)

c)

20x²y

d)

2y(2xy + 7y)

55.

8w³ + 16w² + 4w

a)

4w (2w + 4 + 1)

b)

4 (2w² + 4w + 1)

c)

4w (2w² + 4w + 1)

d)

4w (2w + 4w + 1)

56.

The area of a rectangle is (18x - 12) ft². Write an expression that represents the side of the length of the rectangle in feet.

a)

The length is 6(3x - 2)

b)

The length is 6(3x + 2)

c)

The length is (3x - 2)

d)

The length is (12x + 6)

57.

What is the GCF of: 16v⁸+ 8v⁷+ 12v^{5 +}4v²

a)

4v³

b)

4

c)

4v

d)

4v²

Final exam revision

Total questions: 57

Worksheet time: 1hrs 26mins

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