Free Printable Expressions

1.

Write a numerical expression for the verbal expression.

two plus twelve divided by four

a)

$2+12\div4$

b)

$2-12\div4$

c)

$2+4\div12$

d)

$\frac{4}{2+12}$

2.

Write a numerical expression for the verbal expression.

eighteen more than five

a)

$5+18$

b)

$5-18$

c)

$5\times18$

d)

$5\div18$

3.

Write a numerical expression for the verbal expression.

seven more than three times eleven

a)

$3\times11+7$

b)

$3\times11\times7$

c)

$7\times3\times11$

d)

$3\times11>7$

4.

Write a numerical expression for the verbal expression.

twenty-five less than one hundred

a)

$100-25$

b)

$25-100$

c)

$25+100$

d)

$100\div25$

5.

Write a numerical expression for the verbal expression.

fourteen decreased by three times four

a)

$14-3\times4$

b)

$14\div3\times4$

c)

$\frac{14}{3\times4}$

d)

$14+3\times4$

6.

Write a numerical expression for the verbal expression.

The sum of three and seven divided by two

a)

$\frac{3+7}{2}$

b)

$3+\frac{7}{2}$

c)

$\left(3+7\right)\times2$

7.

Write a numerical expression for the verbal expression.

the difference of six and two divided by four

a)

$\frac{6-2}{4}$

b)

$\frac{6\times2}{4}$

c)

$6-\frac{2}{4}$

8.

Write a numerical expression for the verbal expression.

the sum of four and nine times three

a)

$\left(4+9\right)\times3$

b)

$\frac{4}{9}\times3$

c)

$\left(4-9\right)\times3$

d)

$4\times9\times3$

9.

Write a numerical expression for the verbal expression.

eighteen divided by the sum of two and seven

a)

$\frac{18}{2+7}$

b)

$\frac{18}{2}+7$

c)

$\frac{18}{2\times7}$

d)

$\frac{18}{2}-7$

10.

Write a numerical expression for the verbal expression.

the difference of eleven and four times five

a)

$\left(11-4\right)\times5$

b)

$\left(11+4\right)\times5$

c)

$\left(11-4\right)+5$

d)

$\frac{11}{4}\times5$

11.

Write a numerical expression for the verbal expression.

the sum of two and four and six times eight

a)

$\left(2+4+6\right)\times8$

b)

$\left(2\times4\times6\right)+8$

c)

$\frac{\left(2+4+6\right)}{8}$

d)

$\frac{\left(2\times4\times6\right)}{8}$

12.

Write a numerical expression for the verbal expression.

the sum of twelve and sixteen divided by the sum of three and four

a)

$\frac{12+16}{3+4}$

b)

$\frac{12}{16}+\frac{3}{4}$

c)

$\frac{12\times16}{3\times4}$

13.

Write a numerical expression for the verbal expression.

the difference of twenty-two and six divided by the sum of five and three

a)

$\frac{22-6}{5+3}$

b)

$\frac{22}{6}-\frac{5}{3}$

c)

$\frac{22}{6}\div\left(5+3\right)$

14.

Write a numerical expression for the verbal expression.

the quotient of thirty-two and four divided by the sum of one and three

a)

$\frac{32\div4}{1+3}$

b)

$\frac{32\times4}{1\times3}$

c)

$\frac{32+4}{1\times3}$

15.

Write a numerical expression for the verbal expression.

eight to the fourth power increased by six

a)

$8^4+6$

b)

$8\times4+6$

c)

$8^4\times6$

d)

$8\times4\times6$

16.

To find the average of a student's test scores, add the scores and divide by the number of tests.

Suppose Ryan scored 85, 92, 88, and 98 on four tests.

Write a numerical expression to describe Ryan's average test score.

a)

$\frac{85+92+88+98}{4}$

b)

$\frac{85+92+88+98}{2}$

c)

$\frac{85+92+88+98}{5}$

d)

$\frac{85}{2}+\frac{92}{2}+\frac{88}{2}+\frac{98}{2}$

17.

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

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

18.

12 ÷ 3 x 4
What do you do first?

a)

3x4

b)

12÷4

c)

12÷3

19.

Identify the constant of the algebraic expression:

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

20.

What are the coefficients in the expression
8a + b + 9?

a)

8 only

b)

1 and 8

c)

8 and 9

d)

1, 8, and 9

21.

What is 4x if x=5?

a)

20

b)

16

c)

9

d)

45

22.

If x = 5,find the value of 7x - 1

a)

34

b)

36

c)

35

23.

If y = 4,find the value of 3y + 5

a)

27

b)

12

c)

17

24.

5p + 4h - 2
Which are the variables?

a)

5p, 4h, 2

b)

2

c)

p, h

d)

5, 4

25.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

26.

In PEMDAS, what does the M stand for?

a)

Masterful

b)

Mad

c)

Math

d)

Multiplication

27.

Evaluate if if w = 6

a)

14

b)

13

c)

10

d)

26

28.

In the expression 3p + 4, what is the word for the number 3?

a)

term

b)

coefficient

c)

product

d)

sum

29.

Solve 7 + 3 x 5

a)

22

b)

50

c)

735

30.

$2m\ +\ 3y\ -\ 7$

How many terms are there in this expression?

a)

Three

b)

Five

c)

Two

d)

One

31.

A(n) __________________ consists of one or more numbers, variables, and operations.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

32.

$4^2+15\div3$

Which operation do you need to solve first?

a)

Addition

b)

Division

c)

Exponent

33.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

34.

Identify the property

a + 0 = a

a)

identity property of addition

b)

identity property of multiplication

c)

inverse property of addition

d)

multiplication property of zero

35.

Identify the property

(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

a)

commutative property of addition

b)

identity property of multiplication

c)

inverse property of multiplication

d)

associative property of multiplication

36.

(19 x 5) x 2 = 19 x (5 x 2)

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Identity Property of Multiplication

d)

Associative Property of Addition

37.

1 ^_x 12 =12

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Multiplication Property of One

d)

Distributive Property

38.

Which property says changing the order of the terms in addition or multiplication will not change the result

a)

Commutative

b)

Associative

c)

Inverse

d)

Identity

39.

This is an example of which property:
$\left(2\cdot3\right)\cdot4=2\cdot\left(3\cdot4\right)$

a)

Associative

b)

Commutative

c)

Inverse

d)

Identity

40.

9 ^_x 2 = 2 ^_x 9

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Multiplicative Inverse Property

d)

Distributive Property

41.

What property is this?
77+(8+3) = (8+3)+77

a)

Commutative

b)

Associative

c)

Additive Identity

d)

Distributive

42.

(19 x 5) x 2 = 19 x (5 x 2)

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Identity Property of Multiplication

d)

Associative Property of Addition

43.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

44.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

45.

Which of the following is equivalent to 4(2x + 3)

a)

8x + 12

b)

8x + 3

c)

8x - 12

d)

20x

46.

Which of the following is equivalent to 2(c - 8)?

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

47.

a)

6x+6

b)

5x+18

c)

6x+12

d)

6x+18

48.

e(f + g) is equivalent to:

a)

ef + g

b)

f + g

c)

f + eg

d)

ef + eg

49.

2(4 + 9w)

a)

6+9w

b)

8+2w

c)

4+9w

d)

8+18w

50.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

51.

|15|

a)

15

b)

-15

c)

0

d)

14

52.

|-6|

a)

6

b)

-6

c)

0

d)

-5

53.

-|18|

a)

18

b)

-18

c)

17

d)

-17

54.

-|-28|

a)

28

b)

-28

c)

29

d)

-29

55.

|16| - |-5|

a)

21

b)

-21

c)

11

d)

-11

56.

-|14 + 8|

a)

22

b)

6

c)

-6

d)

-22

57.

|-3| + |19|

a)

16

b)

22

c)

-16

d)

-22

58.

-|-6| - |-18|

a)

24

b)

12

c)

-12

d)

-24

59.

-|20 - 6|

a)

14

b)

-14

c)

26

d)

-26

60.

|13 + (-3)|

a)

16

b)

-16

c)

10

d)

-10

61.

-|9| + |-5|

a)

-14

b)

14

c)

-4

d)

4

62.

|8 - (-16)|

a)

-8

b)

8

c)

-24

d)

24

63.

-|21| - |5|

a)

16

b)

-16

c)

26

d)

-26

64.

|8| + |-2|

a)

10

b)

-10

c)

6

d)

-6

65.

-|12 - (-3)|

a)

15

b)

-15

c)

9

d)

-9

66.

Absolute Value represents the ___________________ a number is from ___________________ on the number line.

a)

Distance; Zero

b)

Distance; One

c)

Altitude; Zero

d)

Altitude; One

67.

Absolute Value has a rank of ______ in the Order of Operations, except you aren't allowed to distribute.

a)

P

b)

E

c)

MD

d)

AS

68.

Evaluate $\left|3y\right|-z$ if y = 2 and z = 5 :

a)

1

b)

–1

c)

–11

d)

11

69.

Evaluate |b+1|+ 8 if b = -3

a)

6

b)

8

c)

10

d)

12

70.

Evaluate 5 – |c+1| if c= –4.

a)

0

b)

2

c)

8

d)

10

71.

Evaluate |4 – h|– b if b= –3 and h= 6 :

a)

–1

b)

1

c)

5

d)

13

72.

Evaluate 2∙|3r – v| if r = –3 and v = –8.

(a)

73.

Evaluate:

$4\left(p-r\right)$

if p = 6 and r = -2

(a)

74.

Evaluate:

$\left(y+z\right)^2$

when y = -4 and z = -3

(a)

75.

Evaluate:

$x^2-z$

when x = 1 and z = -1

(a)

76.

Evaluate:

$3\left(z+x\right)-x$

when x = 2 and z = 1

(a)

77.

Evaluate:

$m-\left(p^2-\left(p+p\right)\right)$

when m = 6 and p = 2

(a)

78.

Evaluate:

$\left(3\div3+y\right)\left(z+z\right)$

when y = 3 and z = 4

(a)

79.

Name the property described: a = a.

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Substitution Property

80.

Name the property described:
If MN = OP and OP = QR, then MN = QR

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

81.

Name the property described: if a = b and b = c, then a = c.

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property

d)

Substitution Property

82.

Name the property described:
If PQ = RS then RS = PQ

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

83.

Identify this property.

If j = k, then k = j.

a)

Symmetric

b)

Reflexive

c)

Transitive

d)

Addition Property of Equality

84.

Name the property described:

5+1=5+1

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

85.

Which property is shown below?
__________________________
If t = 72, then t + 16 = 88 can be rewritten as 72 + 16 = 88

a)

Addition Property

b)

Substitution Property

c)

I Do What I Want Property

d)

Associative Property

Expressions

Total questions: 85

Worksheet time: 3hrs 42mins

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