Unit 1: Operations on Numbers and Expressions

Factor

100

Factor the polynomial. 

3x² - 48x

What is 3x(x - 16)

200

Factor the polynomial. 

x² - 6x + 8

What is (x - 2)(x - 4)

300

Factor the following expression completely. 

x⁴ - 25

What is (x² + 5)(x² - 5)

400

Factor the following expression completely.

x⁴ - 81

What is (x² + 9)(x - 3)(x + 3)

500

Find the value of b that makes  x² +bx+16 a perfect square.  

What is 8

Polynomials / Simplify Rational Expressions

100

Simplify the following expression. 

(5x² + 4x - 2) - (3x² -2x + 5)

What is 2x² + 6x - 7

200

Simplify the following expression. 

(8x⁴ - 7x³ + 5x - 2) + (3x³ + 2x² -6x +4)

What is 8x⁴ - 4x³ + 2x² - x + 2

300

Simplify the following expression.  

(3x + 5)(2x - 7)

What is 6x² - 11x - 35

400

(4x² - 16) / (x - 2) 

What is 4(x + 2)

500

Simplify the following expression.

((x+2)(x-4)) / (2x² - 4x - 16)

What is 1/2

Laws of Exponents/PEMDAS

100

Find the square root of 45

What is 3 times the square root of 5. 

200

Evaluate the following expression when n = 10.

4 abs(6 - n) - abs(-5)

What is 11

300

Find the square root of 640

What is 8 times the square root of 10

400

Simplify (2(2square root of 4))^-2

What is 1/64

500

Find the value of x makes the expression 2 times the square root of 47x equivalent to 8 times the square root of 47.  

What is 16

GCF/LCM

100

Find the least common multiple (LCM) of the monomials below

27x³y³  15x²y³z²

What is 135x³y³z²

200

Find the greatest common factor (GCF) of the monomials below

52xyz³     8x⁴y

What is 4xy

300

Find the greatest common factor (GCF) of the monomials below

52x³y⁴      8x²y³    4x⁴y⁴

What is 4x²y³

400

What is the LCM of the following monomials

3x³y²z³       5x³y⁴z³       5x²y³z²

What is 15x³y⁴z³

500

What is the least common multiple of the following monomials 

36x³y³         60x²y²

What is 180x³y³

Compare and Order and Estimation

100

Order the following list of numbers from least to greatest.  

13/5, 2.75, 8/3, square root of 7

What is 13/5, square root of 7, 8/3, 2.75

200

Order the following list of numbers from greatest to least.  

3/4, 1.15, 78%

What is 1.15, 78%, 3/4

300

Order the following from least to greatest

50%, 0.4, 13/15, 3/4 

What is 0.4, 50%, 3/4, 13/15

400

Select the correct symbol

compare Pi to 18/5

<

>

=

What is <

500

Order the following numbers from least to greatest

14/5, 2.88, 8/3, 2.875

What is 8/3, 14/5, 2.875, 2.88