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Pre-Algebra - Monomials and Polynomials: Multiplying

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Pre-Algebra - Monomials and Polynomials: Multiplying

This Math quiz is called 'Pre-Algebra - Monomials and Polynomials: Multiplying' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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As you have previous learned, a monomial is one number that stands on its own and a polynomial is two or more monomial numbers that are linked together in an equation by an addition sign (+), subtraction sign (-) or a multiplication sign (x). For example: 3x2 ● 5x5. The “●” symbol will be used here in place of the normal “x” used for multiplication so as to not confuse “x” with “x” in algebra problems.

1 .
6x5 ● 3x4
18x20
18x9
9x9
9x20
6x5 ● 3x4
6 ● 3 = 18x9 (remember to add exponents)
Solution: 18x9
Answer (b) is the correct solution
2 .
10x(5x2 - 9x + 22)
50x3 + 90x2 + 220x
50x3 - 90x + 220x
50x3 - 90x2 + 220x
50x3 - 90x2 + 120x
10x(5x2 - 9x + 22)
(10x)(5x2) = 50x3 (add exponents)
(10x)(-9x) = -90x2 (add exponents)
(10x)(22) = 220x
Solution: 50x3 - 90x2 + 220x
Answer (c) is the correct solution
3 .
x(5x2 - 2x + 3)
20x3 - 8x2 + 12x
20x2 - 8x + 12x
9x3 - 2x2 + 7x
9x3 - 8x2 + 12x
4x(5x2 - 2x + 3)
(4x)(5x2) = 20x3(add exponents)
(4x)(-2x) = -8x2 (add exponents)
(4x)(3) = 12x
Solution: 20x3 - 8x2 + 12x
Answer (a) is the correct solution
4 .
(8x5)(3x2)
24x10
11x7
24x7
11x10
(8x5)(3x2)
8 ● 3 = 24
x5 + x2 = x7
Solution: 24x7
Answer (c) is the correct solution
5 .
3x(17x4 + 5x2 + 13)
51x5 + 15x + 39x2
51x8 + 15x2 + 39x2
51x4 + 15x2 + 39x
51x5 + 15x3 + 39x
3x(17x4 + 5x2 + 13)
(3x)(17x4) = 51x5 (add exponents)
(3x)(5x2) = 15x3 (add exponents)
(3x)(13) = 39x
Solution: 51x5 + 15x3 + 39x
Answer (d) is the correct solution
6 .
15x2 ● 5x8
75x10
20x10
20x16
75x16
15x2 ● 5x8
15 ● 5 = 75x10 (remember to add exponents)
Solution: 75x10
Answer (a) is the correct solution
7 .
7x(4x2 + 3x + 12)
28x3 + 21x2 - 84x
28x3 + 21x + 84x
11x3 + 10x2 + 19x
28x3 + 21x2 + 84x
7x(4x2 + 3x + 12)
(7x)(4x2) = 28x3(add exponents)
(7x)(3x) = 21x2(add exponents)
(7x)(12) = 84x
Solution: 28x3 + 21x2 + 84x
Answer (d) is the correct solution
8 .
x(20x2 + 10x + 100)
20x3 + 10x + 100x2
20x2 + 10x + 100x
20x3 + 10x2 + 100x
20x2 + 10x2 + 100x
x(20x2 + 10x + 100)
(x)(20x2) = 20x3 (add exponents)
(x)(10x) = 10x2 (add exponents)
(x)(100) = 100x
Solution: 20x3 + 10x2 + 100x
Answer (c) is the correct solution
9 .
(21x9)(8x3)
168x27
168x12
168x6
168x9
(21x9)(8x3)
21 ● 8 = 168
x9 + x3 = x12
Solution: 168x12
Answer (b) is the correct solution
10 .
12x4 ● 10x2
120x6
102x8
120x8
22x6
12x4 ● 10x2
12 ● 10 = 120x6 (remember to add exponents)
Solution: 120x6
Answer (a) is the correct solution
Author:  Christine G. Broome

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