Free Printable Algebra Review Session

1.

A _____________ is a symbol, usually a letter, that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

2.

Which of the following is an example of an algebraic expression?

a)

3(2 + 7) - 10

b)

78 - 5 + 3

c)

3x + 6y

d)

8(3) - 5 + 2

3.

Which of the following terms mean "addition"?

a)

of

b)

how many

c)

total of

d)

shared

4.

Which of the following terms means "subtract"?

a)

half

b)

less than

c)

double

d)

per

5.

A ______________ is a number multiplied by a variable.

a)

term

b)

variable

c)

coefficient

d)

numerical expression

6.

Difference, minus, less than, and decreased by are all words that mean ______________.

a)

add

b)

subtract

c)

multiply

d)

divide

7.

How many terms are in the given expression?
5² + 7n - 2f

a)

6

b)

5

c)

3

d)

2

8.

Which verbal expression represents the given expression?

3(4 - x)

a)

four minus the number x divided by 3

b)

three times four less than a number x

c)

three times the quantity x less than four

d)

four subtracted from x times three

9.

What does "product" mean?

a)

Multiply

b)

Divide

c)

Add

d)

Subtract

10.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

11.

Write an algebraic expression for:

three times a number plus 16

a)

3(16) + n

b)

16n + 3

c)

3n + 16

12.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

13.

a number more than 12

a)

x ÷ 12

b)

12n

c)

12 + n

d)

12 - n

14.

m plus the product of 6 and n

a)

m + 6n

b)

m − 6 + n

c)

6m + n

d)

m + 6 + n

15.

4 less than x

a)

4 − x

b)

x − 4

c)

4x

d)

−4x

16.

Three less than twice a number

a)

2x − 3

b)

3x − 2

c)

3 − 2x

d)

2 − 3x

17.

The difference of a number and 7

a)

7 − x

b)

x + 7

c)

$\frac{x}{7}$

d)

x − 7

18.

Kayla buys 5 items that cost d dollars each. She gives the cashier $60. Which expression represents the change she should receive?

a)

60 − 5d

b)

60 − d

c)

60 + 5d

d)

5d − 60

19.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

20.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

21.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

22.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

23.

Evaluate 3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

24.

Evaluate when x = 8:
2x + x - 10

a)

34

b)

22

c)

14

d)

24

25.

Evaluate the expression when x = 3.
2x² - 5

a)

31

b)

12

c)

7

d)

13

26.

a²- b²

Evaluate if a = 4 and b = 2

a)

4

b)

20

c)

-4

d)

12

27.

2 x 9 ÷ 3

a)

5

b)

7

c)

8

d)

6

28.

6 + (4)3

a)

18

b)

30

c)

13

d)

42

29.

PEMDAS only works if....

a)

You add then subtract

b)

You subtract then add

c)

add or subtract right to left

d)

add or subtract left to right

30.

15 x 19 + 18 ÷ 6 =

a)

250

b)

199

c)

400

d)

288

31.

(10 + 33 - 3) ÷ 8

a)

13

b)

3

c)

5

d)

11

32.

(9 + 39) ÷ (11 - 5) =

a)

17

b)

14

c)

9

d)

8

33.

What is the order of the steps for the following expression?

50 - 16 x 2 ÷ (12 - 4)

a)

parentheses

multiplication

subtraction

division

b)

parentheses

multiplication

division

subtraction

c)

parentheses

division

multiplication

subtraction

d)

parentheses

subtraction

multiplication

division

34.

Solve the equation:
20.5 = x + 4

a)

16.5

b)

16.05

c)

24.5

d)

24.05

35.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

36.

Solve the equation:
4p = 16

a)

p = 12

b)

p = -12

c)

p = -4

d)

p = 4

37.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

38.

8(x + 5) =

a)

8x + 13

b)

8x + 5

c)

8x + 40

d)

13x

39.

3(2y - 7)

a)

6y - 7

b)

6y - 21

c)

5y - 7

d)

5y - 21

40.

7a(3b - 2c + 4)

a)

10ab + 5ac + 11a

b)

10ab + 5ac + 28a

c)

21ab + 14ac + 28a

d)

21ab - 14ac + 28a

41.

½(8x + 2)

a)

4x + 2

b)

4x + 1

c)

16x + 4

d)

16x - 4

42.

6(x + 1) - 5(x + 2)

a)

2x + 8

b)

x - 4

43.

a)

35x + 7

b)

35x - 1

c)

35x - 7

d)

-35x - 7

44.

a)

8y + 5

b)

3y + 3

c)

7y + 5

d)

7y + 4

45.

a)

6x - 1

b)

10x + 7

c)

6x + 1

d)

8x + 1

46.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

47.

Simplify the expression:

n -10 + 9n -3

a)

-3

b)

9n - 3

c)

n

d)

10n - 13

48.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

49.

-x²+ 7x - 10 + 4x²- 6x + 8

a)

4x²+ 13x + 18

b)

3x²- x + 2

c)

3x²+ x - 2

d)

6x²- 2x - 2

50.

5x²+ 8x + 6 + x²+ 3x + 1

a)

6x²+ 11x + 7

b)

17x²+ 7

c)

24x²

d)

17x + 7

Algebra Review Session

Total questions: 50

Worksheet time: 3hrs 57mins

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