Algebra review

PEMDAS

100

7 + 4 × (2 – 5)²

43

200

[10 – 3(4 – 2)]² ÷ 2

49

300

6 – 2[3 – (4 – 1)²]

0

400

24 ÷ 3(2²) + 5

7

500

[(3 + 1)² – 4²] ÷ 2

4

Exponents

100

Simplify: x² · x³

x⁵

200

Simplify: (2x³)²

4x⁶

300

Simplify: x⁵ ÷ x² · x⁻¹

x²

400

Simplify: (2x⁻²y³)²

4x⁻⁴y⁶

500

Evaluate: 81^(1/4) · 9^(1/2)

27

Simplifying Expressions

100

Simplify: 3x + 2x – x

4x

200

Simplify: 2(x + 3) + 4x

6x + 6

300

Simplify: –3(x – 2) + 2(2x + 5)

x + 16

400

Simplify: 4[2x – (x + 3)] + 5

4x - 7

500

Simplify: 3x – 2(x – 1) + 4(x – 3)

5x - 10

Solving Equations

100

Solve: 2x + 5 = 11

x = 3

200

Solve: 3x – 4 = 2x + 5

x = 9

300

Solve: x/2 + 3 = 5x/4

x = 4

400

Solve: 2(x + 3) = 3(x – 2) + 1

x = 11

500

Solve: (2x – 5)/3 = (x + 4)/2

x = 11

Word Problems

100

A number increased by 4 is 15. What is the number?

11

200

John has $5 more than twice what Sarah has. Together, they have $35. How much does Sarah have?

$10

300

You earn $12/hour plus $50 bonus. You made $122. How many hours?

6 hours

400

A triangle’s perimeter is 42 cm. Two sides are equal and the third is 6 cm longer than the others. Find side lengths.

12, 12, 18

500

A tank is filling at 5 liters/min. It started with 300 liters. How long to reach 1,200 liters?

180 min or 3 hours