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WorksheetsG08 - MATH Q1 Reviewer
Total questions: 27
Worksheet time: 14mins
What is the Greatest Common Factor (GCF) of 24 and 54?
1
2
3
6
What is the GCF of 𝑥2 and 𝑥9?
𝑥2
𝑥7
𝑥11
𝑥9
What is the GCF of 𝑥𝑦10 ,𝑥 4𝑦6 , 𝑥9𝑦9 , and 𝑥10𝑦10?
𝑥𝑦
𝑥𝑦6
𝑥4𝑦4
𝑥4𝑦6
What are the complete factors of the polynomial 7𝑥 − 7?
7(𝑥 − 1)
7(1 − 𝑥)
7𝑥 - 1
7(𝑥 − 7)
What are the complete factors of 2𝑥6 - 12𝑥4?
2 (𝑥 4 - 6𝑥4)
2𝑥5 (𝑥 − 6𝑥)
2𝑥4 (𝑥2 − 6)
𝑥6 (2𝑥2 − 12)
If one factor of the difference of two squares is x + 2, what is the other factor?
𝑥 - 2
𝑥2 - 2
𝑥2 - 22
(𝑥 − 2)2
What is the complete factored form of the expression 𝑦4 − 49?
(𝑦2)2 − (72)2
(𝑦2 − 7)2
(𝑦2 + 7)2
(𝑦2 − 7) (𝑦2 + 7)
What is the complete factored form of 𝑧2 − 1 6?
(𝑧 − 4) 2
(𝑧 − 8) 2
(𝑧 + 4) (𝑧 − 4)
(𝑧 − 4) (𝑧 − 4)
Which of the following expressions is a perfect cube?
8𝑥
64𝑥 6
27𝑥2
125𝑥4
Which of the following is the complete factored form of the cubic polynomial 𝑥3 − 8?
(𝑥 − 2)(𝑥2 + 2𝑥 + 4)
(𝑥 + 2)(𝑥2 − 2𝑥 + 4)
(𝑥 − 2)(𝑥2 + 2𝑥 − 4)
(𝑥 − 2)(𝑥2 − 2𝑥 + 4)
Factor completely: 27𝑥3 + 64𝑦3?
(3𝑥)3 + (4𝑦)3
(3𝑥 + 4𝑦)(9𝑥2 − 12𝑥𝑦 + 16𝑦2)
(3𝑥 + 4𝑦)(3𝑥2 − 3𝑥𝑦 + 16𝑦2)
6(3𝑥 + 4𝑦)(3𝑥2 − 12𝑥𝑦 + 4𝑦2)
What do you call an expression in fraction form in which the numerator and the denominator are polynomials?
Linear algebraic
Rational algebraic
Rational algebraic equation expression
Linear algebraic expression equation
In a rational algebraic expression written in the form of PQ , where 𝑃 and 𝑄 are polynomials, the polynomial 𝑄 is equal to any number except ____.
3
2
1
0
Which of the following is a rational algebraic expression?
6x-1
2- x4-x
4+ 3xy-2
1- x1+1x
What value of x will make the rational algebraic expression 5x+3x-6 undefined?
-6
-35
35
6
What is the value of the rational expression 2x+1x when 𝑥=1?
2
3
4
5
What is the value of the expression x2+5xx2+1 when 𝑥 = −1?
-2
-1
0
1
Which of the following is one of the steps in simplifying rational expressions?
Add the common factors.
Multiply the common factors.
Divide out the common factors.
Subtract out the common factors.
Which of the following is the simplest form of 8xy212x2y?
2y3x
2x3y
y4x
4xy
Which of the following is a rational expression in simplest form?
2y4x
2x-634
a2-1a3+1
2a2-7a-4a+2
Which of the following is the simplest form of x2-1x3-1?
1x-1
x+1x2+x+1
x+1x2-x+1
1x+1
What is the reduced form of 42ab2 ∙ ab4 ?
15b
14b
13b
12b
What is the quotient of x-2 2 ÷x-2 5 ?
5 2
2 5
x-2 5
x-2 10
Given x+3 3 as one factor of the rational algebraic expression x2 -9 6, what is the other factor?
x-2 1
x-3 2
x-4 3
x-5 4
Your classmate divided rational algebraic expressions as presented below. x+3 2 ÷ 2 x+3 = x+3 2 ÷ 2 x+3 = 1 Is your classmate's solution correct?
A. Yes. The solution presented is correct.
B. Yes. Common factors can be directly divided out.
C. No. The correct answer should be equal to 4 (x+3)2 .
D. No. Get the reciprocal of the divisor first, then multiply.
Given x-4 2 as one factor of the rational algebraic expression x2-16 4 , what is the other factor?
x+2 2
x+4 2
x+6 2
x+8 2
What is the GCMF of 8x3 and 4x5?
2x2
8x
4x3
12x
