Multiplication of Algebraic Expressions

Quiz
•
Mathematics
•
8th Grade
•
Hard
+1
Standards-aligned
Anthony Clark
Used 1+ times
FREE Resource
13 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The middle term of the product of ( 2x + 3 ) ( 3x + 2 ) is..................
2x
12x
13x
9x
Tags
CCSS.HSA.APR.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
7x , 2y , 10xy
7x , 3y , 11xy
7x , 3y , 21xy
7x , 3y , 31xy
Tags
CCSS.HSA.APR.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The middle term of the product of ( 3b + 5 ) ( 3b - 5 ) = ..............................
0
25
30b
Tags
CCSS.HSA.APR.C.4
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
2x , 5
x , 5
x , -5
Tags
CCSS.HSA.APR.C.4
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Product of 2mn and 6m - 14n is __________.
12m²n - 28mn²
12m²n - 14n
6m²n - 28mn
6mn - 14mn²
Answer explanation
2mn x (6m - 14n) Using distributive property of multiplication = (2mn x 6m) - (2mn x 14n) = 2 x 6 x m x m x n - 2 x 14 x m x n x n = 12m²n - 28mn² Therefore, option 1 is correct.
Tags
CCSS.HSA.APR.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(2x/5 - 3y/7 - 2z/9) (x³/2 - y³/5) = _________________.
x⁴/5 - 2xy³/25 - 3x³y/14 + 3y⁴/35 - x³y³/7 + y³z/4
x⁴/4 - 2xy³/25 - 6xy/14 + 3y⁴/35 - x³z/9 + 2y³z/45
x⁴/5 - 2xy/25 - 4x³y/14 + 3y⁴/35 - x³z/9 + 2y³z/45
x⁴/5 - 2xy³/25 - 3x³y/14 + 3y⁴/35 - x³z/9 + 2y³z/45
Answer explanation
To find the product we have to multiply each term of first trinomial with each term of the binomial. (2x/5 - 3y/7 - 2z/9) (x³/2 - y³/5) = 2x/5 (x³/2 - y³/5) - 3y/7 (x³/2 - y³/5) - 2z/9 (x³/2 - y³/5) = (2x/5 × x³/2) - (2x/5 × y³/5) - (3y/7 × x³/2) + (3y/7 x y³/5) - (2z/9 x x³/2) + (2z/9 x y³/5) = (2 × x × x³)/(5 x 2) - (2 × x × y³)/(5 × 5) - (3 × y × x³)/(7 × 2) + (3 × y × y³)/(7 × 5) - (2 × z × x³)/(9 × 2) + (2 × z × y³)/(9 × 5) = x⁴/5 - 2xy³/25 - 3x³y/14 + 3y⁴/35 - x³z/9 + 2y³z/45 Therefore, option 4 is correct.
Tags
CCSS.HSA.APR.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If a monomial is multiplied with a monomial, then the result will be _________.
a monomial
a binomial
a trinomial
polynomial with more than one term
Answer explanation
If a monomial is multiplied with a monomial, then the result will be a monomial. Therefore, option 1 is correct.
Tags
CCSS.HSA.APR.A.1
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