WIN - Module 1 Review

Types of Numbers

100

Is 3/4 a rational or irrational number?

What is a rational number?

200

Is √8 a rational or irrational number?

What is an irrational number?

300

List two examples of irrational numbers.

Examples include π, √2, e

400

Where does √6 fit on a number line?

√6 would fit in between 2 and 3 on a number line.

500

Explain the difference between a rational number and an irrational number.

Rational numbers can be expressed as fractions, while irrational numbers cannot.

Combine Like Terms

100

Simplify: 3x + 5x.

8x

200

What is the result of combining 2a + 3b + 4a?

6a + 3b

300

Simplify: 4x² + 2x - 3x² + 6x.

x² + 8x

400

Combine the terms: 5x + 3 + 2x - 7.

7x - 4

500

If x = 2 and y = 3, what is the value of 3x + 4y - 5?

3(2) + 4(3) - 5 

6 + 12 - 5 

13

Distributive Property

100

Use the distributive property to simplify: 3(x + 4).

3x + 12

200

Simplify: 5(2x + 3).

10x + 15

300

Simplify: 2(3x + 4) + 5x.

11x + 8

400

What is the result of applying the distributive property to 4(a + 2b - c)?

4a + 8b - 4c

500

If a = 2 and b = 3, evaluate: 3(a + 2b).

3(2 + 6)

 3(8)

 24

Exponent Rules

100

What is the value of 2³?

8

200

Simplify:  x² • x³

x⁵

300

What is x⁵/ x²

x³

400

If y² • y³ = yⁿ , what is the value of n?

n = 5

500

Simplify (2³)²

64

Order of Operations

100

What is the correct order of operations?

Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)

200

Evaluate 3 + 4 • 2

11

300

Calculate:  (2 + 3) • 4 - 5

15

400

Simplify:  6 + 2(3 + 5)

22

500

Simplify:  12 ÷ 4(2 + 1)

9