Free Printable 27 Feb - distributive property

1.

Simplify the expression 3(x + 4)

a)

3x + 12

b)

3x + 16

c)

3x - 12

d)

3x + 4

2.

What is the result of applying the distributive property to the expression 2(3x - 5)?

a)

3x - 5

b)

5x - 6

c)

The result is 6x - 10

d)

6x + 10

3.

Expand and simplify the expression 4(2x - 3)

a)

8x - 12

b)

4x - 6

c)

10x - 15

d)

6x - 8

4.

If given the expression 5(2x + 7), what is the result after applying the distributive property?

a)

The result is 10x + 35

b)

5x + 14

c)

7x + 35

d)

10x - 35

5.

What is the simplified form of the expression 6(4x - 2)?

a)

24x - 12

b)

12x - 6

c)

20x - 8

d)

30x - 10

6.

Apply the distributive property to simplify the expression 7(3x + 2)

a)

21x + 14

b)

10x + 14

c)

7x + 14

d)

21x + 6

7.

Expand and simplify the expression 8(5x - 6)

a)

8x - 48

b)

40x - 6

c)

40x + 48

d)

40x - 48

8.

What is the result of applying the distributive property to the expression 9(2x - 4)?

a)

18x - 36

b)

9x - 36

c)

18x + 36

d)

18x - 4

9.

Simplify the expression 10(3x + 5)

a)

30x + 50

b)

30x + 5

c)

10x + 50

d)

10x + 15

10.

If given the expression 11(4x - 7), what is the result after applying the distributive property?

a)

15x - 77

b)

44x + 77

c)

11x - 28

d)

44x - 77

11.

If given the expression 3(4x + 6), what is the result after applying the distributive property?

a)

The result is 12x + 18

b)

7x + 14

c)

4x + 18

d)

12x - 18

12.

What is the result of applying the distributive property to the expression 6(3x - 2)?

a)

18x - 12

b)

9x - 12

c)

18x + 12

d)

18x - 2

13.

Expand and simplify the expression 5(2x - 4)

a)

10x - 20

b)

5x - 8

c)

15x - 20

d)

10x - 4

14.

What is the result of applying the distributive property to the expression 7(2x - 3)?

a)

14x - 21

b)

7x - 10

c)

14x + 21

d)

14x - 3

15.

If given the expression 4(3x + 8), what is the result after applying the distributive property?

a)

The result is 12x + 32

b)

7x + 14

c)

3x + 32

d)

12x - 32

16.

Expand and simplify the expression 9(4x - 5)

a)

36x - 45

b)

9x - 20

c)

36x + 45

d)

36x - 5

17.

Expand and simplify the expression 6(3x - 4)

a)

18x - 24

b)

9x - 10

c)

18x + 24

d)

18x - 4

18.

If given the expression 8(4x + 6), what is the result after applying the distributive property?

a)

The result is 32x + 48

b)

12x + 14

c)

32x - 48

d)

8x + 6

19.

Simplify the expression 5(2x + 3)

a)

10x + 15

b)

7x + 8

c)

5x + 6

d)

10x + 3

20.

Expand and simplify the expression 7(4x - 3)

a)

28x - 21

b)

11x - 10

c)

28x + 21

d)

28x - 3

21.

What is the result of applying the distributive property to the expression 9(5x - 2)?

a)

45x - 18

b)

14x - 18

c)

45x + 18

d)

45x - 2

22.

If given the expression 6(2x + 9), what is the result after applying the distributive property?

a)

The result is 12x + 54

b)

8x + 15

c)

12x + 9

d)

6x + 54

23.

Expand and simplify the expression 7(2x - 5)

a)

14x - 35

b)

9x - 12

c)

14x + 35

d)

14x - 5

24.

What is the result of applying the distributive property to the expression 10(4x - 3)?

a)

40x - 30

b)

7x - 10

c)

40x + 30

d)

40x - 3

25.

If given the expression 8(3x + 5), what is the result after applying the distributive property?

a)

The result is 24x + 40

b)

11x + 13

c)

24x - 40

d)

8x + 5

26.

Match the following:

a)

Division

1.

Quotient

b)

Addition

2.

Sum

c)

Multiplication

3.

Product

d)

Subtraction

4.

Difference

27.

Translate: twelve less than a number

a)

$12-x$

b)

$x-12$

c)

$12x$

d)

$x+12$

28.

Translate: the sum of eight and the product of a number and nine

a)

$9x+8$

b)

$8x+9$

c)

$\frac{x}{9}+8$

d)

$9x-8$

29.

Translate: the square of the sum of a number and sixteen

a)

$x^2+16$

b)

$\left(x+16\right)^2$

c)

$\left(x-16\right)^2$

d)

$x^2-16$

30.

Match the following:

a)

$\sqrt[]{x}$

1.

the square root of a number

b)

$x^2$

2.

a number squared

c)

$\sqrt[3]{x}$

3.

the cube root of a number

d)

$x^3$

4.

a number cubed

31.

Translate: seven less than a number squared

a)

$7-x^2$

b)

$\left(x-7\right)^2$

c)

$x^2-7$

d)

$x^2+7$

32.

Translate: the sum of eleven and the square root of a number

a)

$\sqrt[]{x+11}$

b)

$\sqrt[]{x}+11$

c)

$x^2+11$

d)

$\left(x+11\right)^2$

33.

Translate: five times the sum of a number and four

a)

$5x+4$

b)

$5\left(x+4\right)$

c)

$5\left(4x\right)$

d)

$4\left(x+5\right)$

34.

Translate: the product of three and four less than a number

a)

$3\left(4-x\right)$

b)

$3\left(x-4\right)$

c)

$3x-4$

d)

$4-3x$

35.

Translate: thirteen less than the product of negative six and a number

a)

$13--6x$

b)

$13-6x$

c)

$6x-13$

d)

$-6x-13$

36.

Translate: the sum of the cube root of a number and five

a)

$\sqrt[3]{x+5}$

b)

$\sqrt[3]{x}+5$

c)

$\left(x+5\right)^3$

d)

$x^3+5$

37.

Translate: the square of the difference of a number and twenty

a)

$x^2-20$

b)

$\left(x-20\right)^2$

c)

$\left(20-x\right)^2$

d)

$20-x^2$

38.

Do you have your notebook out and ready to take notes? (a)

(you will need to take a picture and upload it at the end)

Choose from the below words

YES I have my notebook out

No, I know it means a bad grade

39.

Which of the following are algebraic expressions?

a)

$12-4b$

b)

$13\left(2x+99\right)-1$

c)

$\frac{1}{2}+\frac{1}{9}$

d)

$4x+29=122$

e)

$35=40-5$

40.

Evaluate: 10 - (3h + 2) for h = 3

41.

Evaluate: 12 + 7(-2h - 3) for h = -3

42.

Evaluate: 3x²- 10x + 3 for x = -4

43.

Evaluate: $\frac{28}{2x}-4$ for x = -7

44.

Take a picture of the notes you took for this lesson.

4 lines

45.

Expand 2(x + 3).

a)

2x + 3

b)

x + 6

c)

2x + 6

d)

x + 3

46.

Expand 3(y + 3).

a)

3y + 9

b)

12y

c)

3y + 3

d)

y + 9

47.

Expand 2(2w + 4).

a)

4w + 4

b)

4w + 8

c)

4w

d)

12w

48.

Expand 4(3t + 2s).

a)

12s + 8t

b)

12t + 8s

c)

12t

d)

20ts

49.

Expand -(x + 2).

a)

-x - 2

b)

-x + 2

c)

x + 2

d)

x - 2

50.

Expand 5(2c - 3).

a)

10c - 3

b)

10c - 15

c)

25c

d)

-5c

51.

Expand 4(2y - 3).

a)

4y -12

b)

8y - 12

c)

8y - 3

d)

2y - 12

52.

Expand -3(y + 3).

a)

-3y - 9

b)

-3y + 9

c)

-3y +3

d)

3y + 9

53.

Expand 3(2 + y) + 2(y + 3).

a)

6 + y + 2y + 3

b)

6 + 3y + 2y + 3

c)

6 + 3y + y + 6

d)

6 + 3y + 2y + 6

54.

Expand -2( 3 + 4s).

a)

6 + 8s

b)

-6 + 8s

c)

-6 - 8s

d)

-6 + 4s

55.

Which of the following will give the answer 3x + 6?

a)

3(x + 2)

b)

3(x + 6)

c)

x(3 + 6)

d)

3(x - 2)

56.

Which of the following will give the answer 4y - 6?

a)

4(y - 6)

b)

2(y + 3)

c)

2(y - 3)

d)

2(2y - 3)

57.

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

a)

12x + 2 + 10x - 3

b)

12x + 8 + 10x - 15

c)

12x + 8 + 10x +15

d)

12x + 8 + 10x - 3

58.

Expand -2(x + 3).

a)

-2x - 6

b)

-2x + 6

c)

-2x - 3

d)

-2x + 3

59.

Expand 0.5(4d + 8).

a)

20d + 40

b)

2d + 8

c)

20d + 8

d)

2d + 4

60.

The price of pen is $3 and the price of a correction tape is $2. Find the total cost of x pens and y correction tapes.

a)

x + y

b)

2x + 3y

c)

3x + 2y

d)

5xy

61.

Afiq is x years old. What's her age in 5 years time?

a)

x⁵

b)

5x

c)

x + 5

d)

x/5

62.

Simplify 2 x e x d x e x e x 3

a)

5de³

b)

6de³

c)

5ede²

d)

6deee

63.

The number of days in n weeks can be written as

a)

n

b)

7 x n

c)

7n

d)

7 + n

64.

Mr Ang is 3 cm taller than twice the height of his son. Write an expression for Mr Ang's height if the son's height is h cm.

a)

3 + h

b)

2(3 + h)

c)

3 + 2h

d)

6h

65.

Four times a number increased by 5 is

a)

5 + 4n

b)

5 x 4n

c)

5(4n)

d)

4n - 5

66.

Subtract 2h from g

a)

2h - g

b)

g - 2h

c)

2h + g

d)

2hg

67.

The quotient to x and y

a)

x + y

b)

x - y

c)

xy

d)

x / y

68.

The sum of w and the product of x and y.

a)

y(w + x)

b)

wx + y

c)

w + xy

d)

x(w + y)

69.

The difference of p and 7, divided by 2.

a)

p - 7/2

b)

(p - 7)/2

c)

(p + 7)/2

d)

2(p - 7)

70.

The area of a square with length x is given as

a)

2x

b)

4x

c)

x²

d)

x³

71.

The volume of a square with length x is given as

a)

3x

b)

4x

c)

x²

d)

x³

72.

The perimeter of a square with length x is given as

a)

2x

b)

4x

c)

x²

d)

x³

73.

Mandy has $x, she spends $y. How much does she have left?

a)

$(x+y)

b)

$(x–y)

c)

$(xy)

d)

$(x/y)

74.

a + a + a + b + 2b

a)

3a + 2b

b)

3a + 3b

c)

a³ + 2b²

d)

2a³b²

27 Feb - distributive property

Total questions: 74

Worksheet time: 1hrs 14mins

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