Math 3 Exam Review #1 Adding, subtracting, and multiplying polynomials 1. Simplify: (𝑥 − 5)3

2. Simplify: (3𝑥 + 2)2

3. Expand: (4x – 3)5

4. Find the difference: (2𝑤 4 − 𝑤 + 7) − (5𝑤 2 − 4𝑤 4 + 3𝑤 − 2)

5. Find the area of a triangle with a base length of 2x + 6y and a height of 3x

6. You want to find the area of a swimming pool. The swim coach tells you the length is 12 less than 5 times the width. What is the area of the pool?

7.

Math 3 Exam Review #1 Factoring 1. 6x2 – 7x – 10

4.

2.

8x3 – 27

3. 5x3 – x2 + 15x – 3

A rectangle has an area of 𝑥 2 − 3𝑥 − 4. Find its perimeter.

5. Problem: Factor 64𝑐 2 − 144 completely. Solution: (8𝑐 − 12)(8𝑐 + 12). What did the student do wrong?

Solving quadratics 1. What do you have to add to each side to complete the square? x2 – 6x = -4 2. Solve by completing the square: x2 + 5x = 3x + 11

3. Solve using any method: 4x2 + 20x + 1 = 0

4. Solve by factoring, graphing, and quadratic formula: 7x 2 + 17x = -6

Math 3 Exam Review #1 Radicals and Complex Numbers 1. Simplify:

2. Solve:

3. Solve:

4. Simplify:

5. Simplify:

6. Simplify:

7. Rationalize: