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Homework Practice

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We Distribute, Yet Things Multiply: Practice 3

Section A: Core Practice

Question 1mcq
Expand 6(2x+5)6(2x+5).
A.8x+58x+5
B.12x+512x+5
C.12x+3012x+30
D.6x+306x+30
Question 2mcq
Factorise 14x+2114x+21 by taking out the greatest common factor.
A.14(x+21)14(x+21)
B.7x(2+3)7x(2+3)
C.7(2x+3)7(2x+3)
D.35x35x
Question 3mcq
A student expands 5(2x+3)5(2x+3) as 10x+310x+3. What is the mistake?
A.The expression cannot be expanded.
B.It forgot to multiply the second term inside the bracket.
C.They should have added 55 to 2x2x only.
D.Only the constant should be multiplied.
Question 4mcq
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
Question 5mcq
Which expression is equal to 9×60+9×89\times 60+9\times 8 by the distributive law?
A.612612
B.9×60×89\times 60\times 8
C.9+60×89+60\times 8
D.69×869\times 8
Question 6mcq
Which expression is equal to 15×20+15×615\times 20+15\times 6 by the distributive law?
A.15+20×615+20\times 6
B.15×20×615\times 20\times 6
C.390390
D.35×635\times 6

Section B: Reasoning and Application

Question 7mcq
Use distribution to calculate 99×4799\times 47. What is the product?
A.47004700
B.46064606
C.46534653
D.146146
Question 8mcq
Expand 4(7x+3)4(7x+3).
A.28x+1228x+12
B.11x+311x+3
C.4x+124x+12
D.28x+328x+3
Question 9mcq
Expand 6(2x+5)6(2x+5).
A.12x+512x+5
B.6x+306x+30
C.8x+58x+5
D.12x+3012x+30
Question 10mcq
Factorise 14x+2114x+21 by taking out the greatest common factor.
A.35x35x
B.7(2x+3)7(2x+3)
C.7x(2+3)7x(2+3)
D.14(x+21)14(x+21)
Question 11mcq
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.It forgot to multiply the second term inside the bracket.
C.They should have added 55 to 2x2x only.
D.The expression cannot be expanded.
Question 12mcq
Which expression is equivalent to a(b+c)a(b+c)?
A.ab+acab+ac
B.abcabc
C.ab+cab+c
D.a+b+ca+b+c