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We Distribute, Yet Things Multiply: Final Assessment

Section A: Concepts

Question 1mcq
Which expression is equal to 7×40+7×37\times 40+7\times 3 by the distributive law?
A.7+40×37+40\times 3
B.47×347\times 3
C.301301
D.7×40×37\times 40\times 3
Question 2mcq
Which expression is equal to 12×25+12×412\times 25+12\times 4 by the distributive law?
A.37×437\times 4
B.12×25×412\times 25\times 4
C.12+25×412+25\times 4
D.348348
Question 3mcq
Use distribution to calculate 98×2598\times 25. What is the product?
A.24502450
B.123123
C.24252425
D.24752475
Question 4mcq
Expand 8(3x+4)8(3x+4).
A.24x+3224x+32
B.24x+424x+4
C.11x+411x+4
D.8x+328x+32
Question 5mcq
Expand 3(5x+2)3(5x+2).
A.15x+615x+6
B.8x+28x+2
C.15x+215x+2
D.3x+63x+6
Question 6mcq
Factorise 12x+1812x+18 by taking out the greatest common factor.
A.30x30x
B.6(2x+3)6(2x+3)
C.12(x+18)12(x+18)
D.6x(2+3)6x(2+3)
Question 7mcq
A student expands 5(2x+3)5(2x+3) as 10x+310x+3. What is the mistake?
A.It forgot to multiply the second term inside the bracket.
B.The expression cannot be expanded.
C.They should have added 55 to 2x2x only.
D.Only the constant should be multiplied.
Question 8mcq
Which expression is equivalent to a(b+c)a(b+c)?
A.ab+acab+ac
B.a+b+ca+b+c
C.ab+cab+c
D.abcabc

Section B: Skills

Question 9mcq
Which expression is equal to 12×25+12×412\times 25+12\times 4 by the distributive law?
A.12+25×412+25\times 4
B.37×437\times 4
C.348348
D.12×25×412\times 25\times 4
Question 10mcq
Which expression is equal to 9×60+9×89\times 60+9\times 8 by the distributive law?
A.69×869\times 8
B.9+60×89+60\times 8
C.9×60×89\times 60\times 8
D.612612
Question 11mcq
Use distribution to calculate 1002×71002\times 7. What is the product?
A.10091009
B.70147014
C.70217021
D.70077007
Question 12mcq
Expand 3(5x+2)3(5x+2).
A.3x+63x+6
B.15x+215x+2
C.15x+615x+6
D.8x+28x+2
Question 13mcq
Expand 4(7x+3)4(7x+3).
A.11x+311x+3
B.28x+328x+3
C.28x+1228x+12
D.4x+124x+12
Question 14mcq
Factorise 15x+2515x+25 by taking out the greatest common factor.
A.5x(3+5)5x(3+5)
B.5(3x+5)5(3x+5)
C.40x40x
D.15(x+25)15(x+25)
Question 15mcq
A student expands 5(2x+3)5(2x+3) as 10x+310x+3. What is the mistake?
A.They should have added 55 to 2x2x only.
B.Only the constant should be multiplied.
C.It forgot to multiply the second term inside the bracket.
D.The expression cannot be expanded.
Question 16mcq
Which expression is equivalent to a(b+c)a(b+c)?
A.abcabc
B.ab+cab+c
C.ab+acab+ac
D.a+b+ca+b+c

Section C: Applications

Question 17mcq
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.612612
C.9×60×89\times 60\times 8
D.69×869\times 8
Question 18mcq
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.35×635\times 6
D.15+20×615+20\times 6
Question 19mcq
Use distribution to calculate 99×4799\times 47. What is the product?
A.46064606
B.146146
C.47004700
D.46534653
Question 20mcq
Expand 4(7x+3)4(7x+3).
A.28x+328x+3
B.4x+124x+12
C.28x+1228x+12
D.11x+311x+3
Question 21mcq
Expand 6(2x+5)6(2x+5).
A.12x+512x+5
B.6x+306x+30
C.8x+58x+5
D.12x+3012x+30
Question 22mcq
Factorise 14x+2114x+21 by taking out the greatest common factor.
A.7(2x+3)7(2x+3)
B.7x(2+3)7x(2+3)
C.35x35x
D.14(x+21)14(x+21)
Question 23mcq
A student expands 5(2x+3)5(2x+3) as 10x+310x+3. What is the mistake?
A.It forgot to multiply the second term inside the bracket.
B.The expression cannot be expanded.
C.They should have added 55 to 2x2x only.
D.Only the constant should be multiplied.
Question 24mcq
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

Section D: Reasoning

Question 25mcq
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.35×635\times 6
D.15×20×615\times 20\times 6
Question 26mcq
Which expression is equal to 7×40+7×37\times 40+7\times 3 by the distributive law?
A.7+40×37+40\times 3
B.7×40×37\times 40\times 3
C.47×347\times 3
D.301301
Question 27mcq
Use distribution to calculate 101×36101\times 36. What is the product?
A.36723672
B.137137
C.36363636
D.36003600
Question 28mcq
Expand 6(2x+5)6(2x+5).
A.12x+3012x+30
B.6x+306x+30
C.8x+58x+5
D.12x+512x+5
Question 29mcq
Expand 8(3x+4)8(3x+4).
A.24x+424x+4
B.24x+3224x+32
C.11x+411x+4
D.8x+328x+32
Question 30mcq
Factorise 6x+96x+9 by taking out the greatest common factor.
A.3x(2+3)3x(2+3)
B.6(x+9)6(x+9)
C.3(2x+3)3(2x+3)
D.15x15x
Question 31mcq
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.The expression cannot be expanded.
D.It forgot to multiply the second term inside the bracket.
Question 32mcq
Which expression is equivalent to a(b+c)a(b+c)?
A.ab+cab+c
B.a+b+ca+b+c
C.abcabc
D.ab+acab+ac