We Distribute, Yet Things Multiply: Practice 4

Section A: Core Practice

Question 1mcq

A student expands

5(2x+3)

as

10x+3

. What is the mistake?

A.They should have added

5

to

2x

only.

B.The expression cannot be expanded.

C.It forgot to multiply the second term inside the bracket.

D.Only the constant should be multiplied.

Question 2mcq

Which expression is equivalent to

a(b+c)

?

A.

ab+c

B.

abc

C.

a+b+c

D.

ab+ac

Question 3mcq

Which expression is equal to

9\times 60+9\times 8

by the distributive law?

A.

9\times 60\times 8

B.

612

C.

9+60\times 8

D.

69\times 8

Question 4mcq

Which expression is equal to

15\times 20+15\times 6

by the distributive law?

A.

35\times 6

B.

15+20\times 6

C.

390

D.

15\times 20\times 6

Question 5mcq

Use distribution to calculate

99\times 47

. What is the product?

A.

146

B.

4700

C.

4606

D.

4653

Question 6mcq

Expand

4(7x+3)

.

A.

28x+12

B.

11x+3

C.

28x+3

D.

4x+12

Section B: Reasoning and Application

Question 7mcq

Expand

6(2x+5)

.

A.

12x+30

B.

6x+30

C.

8x+5

D.

12x+5

Question 8mcq

Factorise

14x+21

by taking out the greatest common factor.

A.

7(2x+3)

B.

14(x+21)

C.

7x(2+3)

D.

35x

Question 9mcq

A student expands

5(2x+3)

as

10x+3

. What is the mistake?

A.Only the constant should be multiplied.

B.They should have added

5

to

2x

only.

C.It forgot to multiply the second term inside the bracket.

D.The expression cannot be expanded.

Question 10mcq

Which expression is equivalent to

a(b+c)

?

A.

ab+c

B.

a+b+c

C.

ab+ac

D.

abc

Question 11mcq

Which expression is equal to

9\times 60+9\times 8

by the distributive law?

A.

9+60\times 8

B.

612

C.

9\times 60\times 8

D.

69\times 8

Question 12mcq

Which expression is equal to

15\times 20+15\times 6

by the distributive law?

A.

35\times 6

B.

390

C.

15+20\times 6

D.

15\times 20\times 6