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Homework Practice

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We Distribute, Yet Things Multiply: Practice 2

Section A: Core Practice

Question 1mcq
Use distribution to calculate 99×4799\times 47. What is the product?
A.46534653
B.47004700
C.46064606
D.146146
Question 2mcq
Expand 4(7x+3)4(7x+3).
A.28x+1228x+12
B.28x+328x+3
C.4x+124x+12
D.11x+311x+3
Question 3mcq
Expand 6(2x+5)6(2x+5).
A.8x+58x+5
B.12x+512x+5
C.12x+3012x+30
D.6x+306x+30
Question 4mcq
Factorise 14x+2114x+21 by taking out the greatest common factor.
A.7x(2+3)7x(2+3)
B.35x35x
C.14(x+21)14(x+21)
D.7(2x+3)7(2x+3)
Question 5mcq
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.They should have added 55 to 2x2x only.
C.It forgot to multiply the second term inside the bracket.
D.The expression cannot be expanded.
Question 6mcq
Which expression is equivalent to a(b+c)a(b+c)?
A.a+b+ca+b+c
B.ab+cab+c
C.abcabc
D.ab+acab+ac

Section B: Reasoning and Application

Question 7mcq
Which expression is equal to 9×60+9×89\times 60+9\times 8 by the distributive law?
A.69×869\times 8
B.612612
C.9+60×89+60\times 8
D.9×60×89\times 60\times 8
Question 8mcq
Which expression is equal to 15×20+15×615\times 20+15\times 6 by the distributive law?
A.390390
B.15+20×615+20\times 6
C.15×20×615\times 20\times 6
D.35×635\times 6
Question 9mcq
Use distribution to calculate 99×4799\times 47. What is the product?
A.46064606
B.146146
C.46534653
D.47004700
Question 10mcq
Expand 4(7x+3)4(7x+3).
A.28x+1228x+12
B.11x+311x+3
C.4x+124x+12
D.28x+328x+3
Question 11mcq
Expand 6(2x+5)6(2x+5).
A.12x+512x+5
B.8x+58x+5
C.6x+306x+30
D.12x+3012x+30
Question 12mcq
Factorise 14x+2114x+21 by taking out the greatest common factor.
A.7(2x+3)7(2x+3)
B.14(x+21)14(x+21)
C.7x(2+3)7x(2+3)
D.35x35x