Free Printable Advanced: Expressions

1.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

2.

A constant term has ______.

a)

no exponents

b)

no variables

c)

no numbers

d)

no letters

3.

A coefficient is __________.

a)

the variable

b)

a constant

c)

an exponent

d)

the number that comes before the variable

4.

How many terms does this expression have?
3x + 5y - 17 - 2y + x

a)

3

b)

-17

c)

5

d)

1

5.

How many terms does this expression have?
-18y + 7yz - 4z

a)

-18

b)

3

c)

7

d)

-4

6.

Simplify by combining like terms.
m + 9 - 4m

a)

5m

b)

m + 5m

c)

-3m + 9

d)

4m

7.

What is the coefficient here?
-27m + 5

a)

27

b)

-27

c)

5

d)

m

8.

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

9.

Which expression is equivalent to
v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

d)

v5

10.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

11.

-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

12.

Simplify the following expression:
-10x - 9x + 1

a)

-19x + 1

b)

-19x² + 1

c)

-10x - 8

d)

-19x - 1

13.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

14.

$-5y-7+6+13y$

a)

$-18y-13$

b)

$8y-1$

c)

$-8y-1$

d)

$8y+1$

15.

$2a-1-7b+4a-b+13$

a)

$6a-8b+12$

b)

$6a-6b-12$

c)

$-6a-8b+12$

d)

$6a+6b+12$

16.

$6k-7-19+k$

a)

$7k-26$

b)

$5k-12$

c)

$7k-12$

d)

$7k+26$

17.

$-\left(7r+3\right)$

a)

$-7r-3$

b)

$-10r$

c)

$-7r+3$

d)

$7r+3$

18.

$\frac{1}{2}\left(12k-28\right)$

a)

$6k-14$

b)

$6k+14$

c)

$10k-26$

d)

$-6k+14$

19.

-3(-2x - 5)

a)

-6x - 15

b)

6x + 15

c)

-6x + 15

d)

6x - 15

20.

Simplify:
3x - (x - 6) - 12

a)

2x - 6

b)

4x - 18

c)

2x + 6

d)

4x - 6

21.

Simplify:
4(8x + 1) - 6(1 - 8x)

a)

-80x - 2

b)

80x + 2

c)

-80x + 2

d)

80x - 2

22.

Simplify:
3(9 + 2d) + 4d

a)

18d+10d

b)

18d-10d

c)

27+10d

d)

37d

23.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

24.

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

a)

22

b)

27

c)

14

d)

7

25.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

26.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

27.

Product of 4 and p

a)

4/p

b)

4p

c)

12/4p

d)

12/4x

28.

The sum of 6 and x

a)

x + 6

b)

6/x

c)

x + 4

d)

6x

29.

Evaluate 5m + 7 if m = 5

a)

12

b)

25

c)

32

30.

Write an algebraic expression for "12 more than number".

a)

x + 12

b)

12x

c)

x - 12

31.

Write an algebraic expression for "8 less than a number".

a)

8x

b)

x - 8

c)

8 - x

32.

Write an algebraic expression for "a number subtracted from eight".

a)

n - 8

b)

8 - n

c)

8n

d)

n/8

33.

Write an algebraic expression for "the quotient of a number and 4".

a)

n / 4

b)

n - 4

c)

n + 4

d)

4n

34.

Which operation should you perform first in the expression

$4-6+3$

a)

addition

b)

multiplication

c)

subtraction

d)

division

35.

2 + (9²- 4)

a)

16

b)

77

c)

79

36.

(10 + 2) ×10-3

a)

145

b)

27

c)

117

d)

53

37.

90 - 5² × 3

a)

15

b)

240

c)

195

38.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

39.

Apply the order of operations and choose the correct answer:
40 - 8 + 4 x 2

a)

32

b)

40

c)

64

40.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

41.

7[12 − (6 − 2) ÷ 4]

a)

7

b)

77

c)

14

d)

0

42.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

43.

True or False?
2 + (4 x 5 - 2) + 8 = 28

a)

True

b)

False

44.

What would be the 2nd step in solving this problem:
(4 - 2) + 9 x 7

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

45.

In the following expression, the number 11 is an example of a ____________?

5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

46.

In the following expression, the number 7 is an example of a ____________?

5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

47.

What are the like terms in the following expression?

7x + 8 - 6x² + 2x

a)

7 and 2

b)

7x, 8, 6x², 2x

c)

7x and 2x

d)

7x, 6x², 2x

48.

Simplify.

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

49.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

50.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

51.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

52.

(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8

53.

10(8-2x)

a)

80-20x

b)

80+20x

54.

4y – 5
y = 6

a)

12

b)

13

c)

19

d)

34

55.

r(r – 9)
r = 11

a)

12

b)

22

c)

44

d)

99

56.

(s – 5)²
s = 13

a)

34

b)

64

c)

144

d)

16

57.

4(t – 2) + 3
t = 10

a)

35

b)

24

c)

12

d)

36

58.

10 + 45 ÷ 9 -(14 ÷ 2) =

a)

9

b)

8

c)

53

d)

18

59.

Solve the following:
(2 + 7 - 1) ÷ 2²

a)

16

b)

2

c)

72.25

d)

8.75

60.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

61.

8² +(7-4)²

a)

74

b)

72

c)

70

d)

73

62.

Simplify:
[25-(13+4)+4] ÷ 3

a)

6

b)

2

c)

3

d)

4

63.

7[12 − (6 − 2) ÷ 4]

a)

7

b)

77

c)

14

d)

0

64.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

65.

In the expression 8n - 7 + 9n + 5, which shows all the terms?

a)

8n, 7, 9n, 5

b)

8n, 9n

c)

-7, 5

d)

8n, -7, 9n, 5

66.

What is the constant?

a)

8

b)

d

c)

2

d)

-2

67.

What is the variable in the 5th term?

a)

a

b)

-3

c)

b

d)

3

68.

What is the constant?

a)

7

b)

-5

c)

b

d)

-2

69.

What is the coefficient in the 3rd term?

a)

m

b)

-5

c)

5

d)

3

70.

What is the coefficient in the 5th term?

a)

2

b)

4

c)

-3

d)

d

71.

Simplify 8³

a)

512

b)

24

c)

4096

d)

288

72.

(-5)³

a)

-15

b)

125

c)

-125

d)

-625

73.

-3⁴

a)

-81

b)

81

c)

-12

d)

-27

74.

Which is larger?

5³ or 3⁵

a)

5³

b)

3⁵

c)

They are equal

75.

Which is larger?

1⁵ or 1⁸

a)

1⁵

b)

1⁸

c)

They are equal

76.

Which is larger?

(-3)² or -3²

a)

(-3)²

b)

-3²

c)

They are equal

77.

What is the word used for a base raised to the 3rd power?

a)

Cubed

b)

Squared

c)

Triangled

d)

Circled

78.

How would you say 6 X 6 X 6 X 6 in exponent form?

a)

six cubed

b)

6 to the 4th power

c)

4 to the 6th power

d)

six squared

79.

In the expression $3^7$ , the three represents ...

a)

the power

b)

Base

c)

nothing

d)

Exponent

80.

Exponents are a short cut for what mathematical operation?

a)

Multiplication

b)

Division

c)

Addition

d)

Subtraction

81.

What is equivalent to $7^2$

a)

49

b)

14

c)

41

d)

128

82.

What is 7⁰?

(a)

83.

Evaluate the following exponent

1⁰

(a)

Advanced: Expressions

Total questions: 83

Worksheet time: 6hrs 51mins

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