Unit 3.1-3.5

3.1 Understand and Represent Exponents

100

What is the base number in the expression 

3⁴

3

200

Write the exponent for  each expression 

7x7x7x7

7⁴

300

Write the power as repeated multiplication 

5³

5x5x5

400

Explain what it means to raise a number to the power of 0. 

Any non-zero number raised to the power of 0 is equal to 1.

500

If a=3 what is a²

9

3.2 Find Greatest Common Factor and Least Common Multiple

100

Find the greatest common factor (GCF) of 18 and 24. 

6

200

What is the least common multiple (LCM) of 4 and 6?

12

300

Find the prime factorization of 56 

7x2³

400

Find the GCF of 100 and 45.

GCF= 5

500

Use the distributive property to express 36+8 

Hint: The distributive property tells us how to solve expressions in the form of a(b + c) 

4(9+2). 

3.3 Write and Evaluate Numerical Expressions

100

Evaluate 5³

125

200

Evaluate 2x+3 if x= 5

13

300

Evaluate 5y−4 when y=2 

6 

400

Evaluate using PEMDAS 

8+6-2x2-3²

9

500

Calculate the surface area A=8s² for a cube if s = 7 

392

3.4 Write Algebraic Expressions

100

Write the expression for "Subtract y from 5"

5-y

200

"Multiply 3 by x and add 7

3x+7

300

Write an expression for "The sum of a and 12

a+12

400

Write an expression for "The quotient of 24 and n.

24÷n or 24/n

500

Write an equation to represent 

Add 5 and 4, then multiply by x 

(5+4)⋅x or 9x.

3.5 Evaluate Algebraic Expressions

100

2x+3 for x=4 

2(4)+3=8+3=11.

200

Evaluate 5y−4  when y=2

 5(2)−4=10−4=6

300

V=s³ to find the volume of a cube with side length s=1/2

V=(1/2)³= 1/8

400

Calculate the surface area A=6s²   for a cube when s=3

A=6(3²)=6(9)=54

500

Evaluate 3(x+2)−4  for x=5 

3(5+2)−4=3(7)−4=21−4=17