Free Printable Mastering Algebraic Expression Simplification

Worksheets

Mastering Algebraic Expression Simplification

Total questions: 40

Worksheet time: 1hrs 7mins

Name

Class

Date

Simplify: 6m + 4n - 2m + 3n

4m + 7n

2m + 5n

6m + 7n

4m + 5n

Simplify: 4(3x - 2) + 2x

14x - 8

6x - 8

4x - 8

12x - 2

Simplify: 10 - 2(3 + x)

4 - 2x

10 - 2(3 + 2x)

10 - 6 - 2x

8 - 2x

Simplify: 2(x + 4) - 3(x - 2)

-x + 14

3(x + 2)

-2x + 8

x + 10

Simplify: 4(2y + 3) - 5y

3y + 8

3y + 12

2y + 8

4y + 12

Simplify: 3(2x - 1) + 4(3 - x)

2x + 9

6x - 1

3(2x) + 4(3)

2x - 3

Expand and Simplify 4(x+2)-3(x+1)

x+3

7x+1

x+5

5x+11

Three times a number increased by nine

3h-9

3(h-9)

3(h+9)

3h+9

Simplify the algebraic fraction.

2pq

2/pq

pq/2

p/2q

10.

-(4x - 3) + 2(x + 5)

-2x + 7

2x - 13

-2x - 7

-2x + 13

11.

-3(x - 2) + 8(2x + 1)

13x + 14

13x + 2

13x - 2

7x + 14

12.

Find the surface area of this cone.

65π ft.²

60π ft.²

90π ft.²

130π ft.²

13.

What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?

The cylinder is 1/3 the volume of the cone.

The cone is 1/3 the volume of the cylinder.

They have the same volume.

Their volumes are not related at all.

14.

Determine the volume of the cone.

125.6

3768

942

251.2

15.

What is this formula used to find?
A=πr²

The volume of a cylinder

The volume of a cone

The volume of a sphere

The area of a circle

16.

How do you find the volume of a cone?

V= ^1/₃πr²h

V= ^4/₃πr²h

V= ^4/₃πr³

V= πr²h

17.

Determine the volume of the cone.

125.6

3768

942

251.2

18.

How do you find the volume of a cone?

V= ^1/₃πr²h

V= ^4/₃πr²h

V= ^4/₃πr³

V= πr²h

19.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

12.56 ft³

37.68 ft³

18.84 ft³

6.28 ft³

20.

Find the surface area

60.4 m²

188.4 m²

94.2 m²

881.9 m²

21.

What is the total surface area formula for a cylinder?

SA = πrl + πr²

SA = 2πrh + 2πr²

SA = 4πr²

SA = πr²h

22.

Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.

810 cm³

2543.4 cm³

847.8 cm³

2826 cm³

23.

Find the volume of the cylinder.

4239

1696

1130

565

24.

Is the red line a radius or diameter of the circle?

Radius

Diameter

25.

Is the red line a radius or diameter of the circle?

Radius

Diameter

26.

What is this formula used to find?
V=πr²h

The volume of a cylinder

The volume of a cone

The volume of a sphere

The area of a circle

27.

14, 49, and 28 are all multiples of what number?

28.

14, 49, and 28 are all multiples of what number?

29.

Jeffrey is skip counting by 7. What are the first 5 multiples of 7?

1, 7, 14, 28, 34

7, 14, 21, 28, 35

7, 21, 42, 49, 35

1,7

30.

Jeffrey is skip counting by 7. What are the first 5 multiples of 7?

1, 7, 14, 28, 34

7, 14, 21, 28, 35

7, 21, 42, 49, 35

1,7

31.

Which number below is not a factor

of 50?

32.

Which number below is not a factor

of 50?

33.

Find the LCM of 6 and 8...

34.

What are the factors of 40?

4 lines

35.

12, 24, 36, 48, 60 are all ______________ of 12.

factors

multiples

addition

36.

The largest factor that two or more numbers share is called the

odd number

Primest number

greatest common factor (GCF)

37.

A given number with only 2 factors is a

prime number

composite

multiplication

38.

Find the LCM of 12 and 16...

39.

Find the HCF of 12 and 16...

40.

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.

4m + 8

8m - 4

8m + 4

4m - 8

Reset

Mastering Algebraic Expression Simplification

Total questions: 40

Worksheet time: 1hrs 7mins

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