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Homework Practice

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We Distribute, Yet Things Multiply: Practice 1

Section A: Core Practice

Question 1mcq
Which expression is equal to 9×60+9×89\times 60+9\times 8 by the distributive law?
A.612612
B.9+60×89+60\times 8
C.69×869\times 8
D.9×60×89\times 60\times 8
Question 2mcq
Which expression is equal to 15×20+15×615\times 20+15\times 6 by the distributive law?
A.15×20×615\times 20\times 6
B.390390
C.15+20×615+20\times 6
D.35×635\times 6
Question 3mcq
Use distribution to calculate 99×4799\times 47. What is the product?
A.146146
B.47004700
C.46064606
D.46534653
Question 4mcq
Expand 4(7x+3)4(7x+3).
A.28x+328x+3
B.4x+124x+12
C.28x+1228x+12
D.11x+311x+3
Question 5mcq
Expand 6(2x+5)6(2x+5).
A.8x+58x+5
B.6x+306x+30
C.12x+512x+5
D.12x+3012x+30
Question 6mcq
Factorise 14x+2114x+21 by taking out the greatest common factor.
A.14(x+21)14(x+21)
B.7(2x+3)7(2x+3)
C.35x35x
D.7x(2+3)7x(2+3)

Section B: Reasoning and Application

Question 7mcq
A student expands 5(2x+3)5(2x+3) as 10x+310x+3. What is the mistake?
A.Only the constant should be multiplied.
B.The expression cannot be expanded.
C.It forgot to multiply the second term inside the bracket.
D.They should have added 55 to 2x2x only.
Question 8mcq
Which expression is equivalent to a(b+c)a(b+c)?
A.abcabc
B.ab+acab+ac
C.ab+cab+c
D.a+b+ca+b+c
Question 9mcq
Which expression is equal to 9×60+9×89\times 60+9\times 8 by the distributive law?
A.9+60×89+60\times 8
B.69×869\times 8
C.612612
D.9×60×89\times 60\times 8
Question 10mcq
Which expression is equal to 15×20+15×615\times 20+15\times 6 by the distributive law?
A.35×635\times 6
B.15+20×615+20\times 6
C.390390
D.15×20×615\times 20\times 6
Question 11mcq
Use distribution to calculate 99×4799\times 47. What is the product?
A.146146
B.46064606
C.46534653
D.47004700
Question 12mcq
Expand 4(7x+3)4(7x+3).
A.11x+311x+3
B.28x+328x+3
C.4x+124x+12
D.28x+1228x+12