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Worksheets

Expressions and Substitutions

Total questions: 50

Worksheet time: 2hrs 42mins

Name
Class
Date
1.

If a = 6 and b = 3, evaluate the following expression:


ab

a)

63

b)

18

c)

9

d)

216

2.

If a = 6 and b = 3, evaluate the following expression:


a(-b)

a)

-18

b)

18

c)

-63

d)

-9

3.

If a = 6 and b = 3, evaluate the following expression:


a + b

a)

18

b)

63

c)

3

d)

9

4.

If a = 6 and b = 3, evaluate the following expression:


-a + -b

a)

63

b)

-9

c)

18

d)

216

5.

If a = 6 and b = 3, evaluate the following expression:

a)

1/2

b)

2

c)

36

d)

12

6.

If a = 6 and b = 3, evaluate the following expression:

a)

-2

b)

2

c)

-1/2

d)

-23

7.

If a = 5 and b= -10, evaluate the following expression:

a)

-1/2

b)

-2

c)

-510

d)

-15

8.

If a = 5 and b= -10, evaluate the following expression:

a)

1/2

b)

-1/2

c)

-2

d)

2

9.

If a = 5 and b= -10, evaluate the following expression:


a + b

a)

15

b)

5

c)

-5

d)

-15

10.

If a = 5 and b= -10, evaluate the following expression:


-a + b

a)

-15

b)

-5

c)

5

d)

-510

11.

If a = 5 and b= -10, evaluate the following expression:


b − a

a)

-15

b)

-5

c)

5

d)

15

12.

If a = 5 and b= -10, evaluate the following expression:


a − b

a)

-15

b)

-5

c)

15

d)

5

13.

If a = 5 and b= -10, evaluate the following expression:


ab

a)

-50

b)

-510

c)

-5

d)

50

14.

If a = 5 and b= -10, evaluate the following expression:


a(-b)

a)

50

b)

-50

c)

510

d)

-5

15.

If a = 6 and b = 3, evaluate the following expression:


a − b

a)

-3

b)

3

c)

-9

d)

9

16.

If a = 6 and b = 3, evaluate the following expression:


-a − b

a)

-3

b)

3

c)

9

d)

-9

17.

if a = 4 , b = 8 , c = -1 , and d = 2, which of the following expressions show


ba − c

a)

8 ⋅ 4 − 1

b)

-1 ⋅ 4 − (-1)

c)

8 ⋅ 4 − (-1)

d)

8/4 − 1

18.

if a = 4 , b = 8 , c = -1 , and d = 2, which of the following expressions show


dc

a)

2 ⋅ -1

b)

2 + -1

c)

2 − (-1)

d)

2 ÷ -1

19.

if a = 4 , b = 8 , c = -1 , and d = 2, which of the following expressions show


bc + ba

a)

8 ⋅ (-1) − 8 ⋅ 4

b)

8 ⋅ (-1) + 8 ⋅ 4

c)

8 ⋅ -1 + 8 ⋅ 4

d)

8 + -1 ÷ 8 + 4

20.

if a = 4 , b = 8 , c = -1 , and d = 2, which of the following expressions show

a)

8 ÷ 4

b)

4 − 8

c)

8 − 4

d)

4 ÷ 8

21.

Evaluate the following expression p2

a)
b)
c)
d)
22.

Evaluate the following expression:

p + 3

a)
b)
c)
d)
23.

In the following expression, which is the variable?


7p + 3

a)

7

b)

p

c)

+

d)

3

24.

In the following expression, which is the coefficient?


7p + 3

a)

7

b)

p

c)

+

d)

3

25.

In the following expression, which is the constant?


7p + 3

a)

7

b)

p

c)

+

d)

3

26.

If n = 6 , m = 3 , and p = 5, evaluate the following expression:


n + m + p

a)

635

b)

13

c)

14

d)

90

27.

If n = 6 , m = 3 , and p = 5, evaluate the following expression:


nmp

a)

14

b)

90

c)

635

d)

3.5

28.

If n = 6 , m = 3 , and p = 5, evaluate the following expression:


p + n ÷ m

a)

3.67

b)

635

c)

23

d)

7

29.

If n = 6 , m = 3 , and p = 5, evaluate the following expression:


m + np

a)

33

b)

365

c)

45

d)

13

30.

If n = 6 , m = 3 , and p = 5, evaluate the following expression:


m − n + p

a)

-8

b)

2

c)

8

d)

-2

31.

Match the numerical expression for:


Twice a number diminished by 5

a)

2n + 5

b)

2n − 5

c)

2n x 5

d)

2n ÷ 5

32.

Match the numerical expression for:


Five less than two times a number is fifteen

a)

5 − 2n < 15

b)

5 + 2n ÷ 15

c)

5 − 2n = 15

d)

5 ÷ 2n = 15

33.

Match the numerical expression for:


Five times the sum of n and two

a)

5(n ÷ 2)

b)

5n + 2

c)

n + 5 + 2

d)

5(n + 2)

34.

Match the numerical expression for:


Five more than twice a number

a)

2n + 5

b)

5 > 2n

c)

5 + 2 + n

d)

2n − 5

35.

Match the numerical expression for:


Two less than a number

a)

2n

b)

2 < n

c)

n − 2

d)

n ÷ 2

36.

Match the verbal expression with the numerical expression:


n − 7

a)

the quotient of a number and 7

b)

the sum of a number and 7

c)

a number reduced by 7

d)

the product of a number and 7

37.

Match the verbal expression with the numerical expression:

LW

a)

the product of L and W

b)

the sum of L and W

c)

the difference of L and W

d)

the quotient of L and W

38.

Match the verbal expression with the numerical expression:


2L + 2W

a)

2 plus the length times 2 plus the width

b)

2 times the length plus width

c)

2 times the length plus 2 times the width

d)

2 divided by the length minus the width

39.

If the perimeter formula for a rectangle is 2L + 2W, what would be the perimeter of a rectangle with a length of 5 feet and a width of 7 feet?

a)

12 feet

b)

24 feet

c)

17 feet

d)

16 feet

40.

If b represents the hours of sleep Bobby slept, which expression states, "Harry slept 6 more hours than Bobby."

a)

b − 6

b)

b + 6

c)

6b

d)

6 ÷ b

41.

If L represents the number of points LeBron scored, which expression states, "LeBron scored 5 fewer points than Durant."

a)

5L

b)

L − 5

c)

L ÷ 5

d)

L + 5

42.

If c represents the pounds of candy, which expression states that, "the candy was split between 5 people."

a)

c − 5

b)

c + 5

c)

5c

d)

c ÷ 5

43.

The building for Elkardt-Thompson Middle School is 15 feet tall. The building for Franklin Military Academy is 45 feet tall. How many times taller is Franklin Military to Elkhardt-Thompson?

a)

30 times taller

b)

3 times taller

c)

2 times taller

d)

0.333 times taller

44.

LeBron scored 5 fewer points than Durant. If Durant scored 30 points, how many points did LeBron have?

a)

35

b)

25

c)

6

d)

150

45.

The candy was split between 5 people. If there was 15 pounds of candy, how much did each person get?

a)

45 pounds

b)

3 pounds

c)

5 pounds

d)

20 pounds

46.

Harry slept 3 more hours than Bobby. If Bobby slept for 6 hours, how long did Harry sleep?

a)

24 hours

b)

9 hours

c)

18 hours

d)

3 hours

47.

If one-fifth of the students were 11 years old and there were 20 students in the class, how many of the students were 11 years old?

a)

4 students

b)

5 students

c)

31 students

d)

100 students

48.

If d represents the diameter and the circumference of a circle is about 3 times the diameter, which expression shows the circumference of a circle?

a)

d + 3

b)

d ÷ 3

c)

d − 3

d)

3d

49.

If r represents the radius of a circle, and the area of a circle is "pi times the radius squared," which represents the area of a circle?

a)

πr2

b)

2πr

c)

πr + 2

d)

2 + r + r +π

50.

If twice the number of people in the 6th grade passed the SOL compared to the 7th grade, and 100 people in the 7th grade passed the SOL, how many 6th graders passed?

a)

50

b)

200

c)

102

d)

2