Free Printable Algebra - Expressions & Word Problems

1.

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

a)

algebraic expession

b)

variable

c)

term

d)

coefficient

2.

A(n) _________ consist of one or more numbers, variables, and operations.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

3.

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

a)

3(2 + 7) - 10

b)

78 - 5 + 3

c)

3x + 6

d)

8(3) - 5 + 2

4.

A(n) __________ is a number and/or variable that is separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

5.

How many terms are in the given expression?

5x - 2

a)

6

b)

5

c)

3

d)

2

6.

Simplify the expression:

4(x - 3) + 12

a)

4x - 12

b)

4x

c)

4x-3

d)

4x + 24

7.

Simplify 6(x + -2)

a)

6x - 12

b)

6x + 2

c)

4x

d)

6x - 2

8.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b +4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

9.

Use distributive property to expand this expression:

2(8x + 7)

a)

16x + 14

b)

10x + 9

c)

16x + 9

d)

30x

10.

Find the equation that is equivalent to 8(x + 4)

a)

4(2x + 1)

b)

8x + 32

c)

4x + 4 + 4x

d)

2(4x + 2)

11.

-7w - 6 + 5 - 9w

a)

-2w - 1

b)

-16w - 11

c)

-16w - 1

d)

-2w + 11

12.

Which written expression represents the following verbal expression?

12 more than 4 times the difference of a number and 3.

a)

4x - 12

b)

4(x -3) + 12

c)

12 + 4n - 3

d)

12 + n(4 - 3)

13.

Three times a number increased by nine

a)

3h-9

b)

3(h-9)

c)

3(h+9)

d)

3h+9

14.

g divided by 9

a)

9g

b)

g-9

c)

g/9

d)

9/g

15.

What are the variables of 7x+6y-9

a)

6,7

b)

9

c)

6y, 7x

d)

x, y

16.

y minus 12

a)

y + 12

b)

y - 12

c)

y x 12

d)

y / 12

17.

Write the phrase as an expression. "10 less than a number n"

a)

10-n

b)

n-10

c)

n+10

d)

10-n

18.

Identify the variables in the following expression: 4x - 6

a)

4, -6

b)

4 and x

c)

X

d)

-6

19.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

20.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

21.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

22.

Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. Select the equation that shows how to solve for how many she needs to put in.

a)

2 + x = 7

b)

x - 2 = 7

c)

x - 7 = 2

d)

7x = 2

23.

Which equation shows how to solve for how many packages of diapers you can buy with $40 if one package costs $8?

a)

$x\ +\ 8\ =40$

b)

$40\ -\ x\ =\ 8$

c)

$\frac{1}{8}x\ =\ 40$

d)

$8x\ =\ 40$

24.

One number is 4 times as large as another. Their sum is 45. What are the numbers? Select the two that apply.

a)

6

b)

9

c)

12

d)

27

e)

36

25.

Angela sold eight more new cars this year than Carmen. If together they sold a total of 88 cars, how many cars did Angela sell?

(a)

26.

Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. Which equation(s) shows how to solve for how much money he received? Pick all that apply.

a)

29x = 41

b)

x - 41 = 29

c)

41 - x = 29

d)

29 + x = 41

e)

x + 29 = 41

27.

Last week Julia ran 30 miles more than Pranav. Julia ran 47 miles. Which equation shows how many miles Pranav ran?

a)

x - 30 = 47

b)

x + 30 = 47

c)

30x = 47

d)

47x = 30

28.

Four fifths of a class of 480 shows up for class one day. Which equation can be used to solve for how many students attended?

a)

$\frac{4}{5}x\ =\ 480$

b)

$4x\ =\ 480$

c)

$\frac{5}{4}x\ =\ 480$

d)

$5x\ =\ 480$

29.

Jill sold half of her comic books and then bought sixteen more. She now has 36. Which equation shows how to solve the question: "With how many did she begin?"

a)

$\frac{x}{2}+36=16$

b)

$2x\ +\ 16=36$

c)

$2\left(x\ +\ 16\right)\ =\ 36$

d)

$\frac{x}{2\ }\ +\ 16\ =\ 36$

30.

The product of X and 5 is 55. How much is x?

(a)

31.

The sum of X and 12 is 30. How much is x?

(a)

32.

The difference between X and 5 is 15. How much is x?

(a)

33.

How many boxes of envelopes can you buy with $12 if one box costs $3?

(a)

34.

Your mother gave you $13.32 with which to buy a present. This covered $\frac{3}{5}$ of the cost. How much did the present cost?

a)

$7.92

b)

$18.64

c)

$22.20

d)

$24.80

35.

At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?

a)

$3.25

b)

$39.00

c)

$52.00

d)

$65.00

Algebra - Expressions & Word Problems

Total questions: 35

Worksheet time: 1hrs 5mins

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