Multiplication of Algebraic Expressions

Multiplication of Algebraic Expressions

8th Grade

13 Qs

quiz-placeholder

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Multiplication of Algebraic Expressions

Multiplication of Algebraic Expressions

Assessment

Quiz

Mathematics

8th Grade

Hard

CCSS
HSA.APR.A.1, HSA.APR.C.4, 6.EE.A.2A

+1

Standards-aligned

Created by

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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