Exponent and Algebra Review

Exponents

100

Evaluate: 10⁴

10,000

200

Evaluate: 9^-1

1/9

300

Simplify: 8x⁵ . 7x⁷

56x¹²

400

Simplify: 5x⁶ / 6x⁴

(5x²) / 6

500

Simplify: (6x . 12x⁶) / (7x³)

(72x⁴) / 7 

Order of Operations

100

6 + 9 x 5 - 2 / 1

49 

200

2(8)²

128

300

(6 + 3)(4 - 2)

18

400

4² x 9 + 5 x 1²

149

500

1³ + 3²[5(5 + 2) - 2]

298

Simplifying Expressions

100

3x + 4x + 3y

7x + 3y

200

4x + 8x + 2y + 7y

12x + 9y

300

3y + 8xy + y + 8xy

4y + 16xy

400

-9x⁵ - 2x⁴ + 2y⁵ - 4x⁵ + 3x⁴ + y⁵

-9x⁵ + x⁴ + 3y⁵

500

-6x²(9x³ + x²y² + 8y)

-54x⁵ - 6x⁴y² - 48x²y

Evaluating Expressions

100

x=4/5; (1/2)x

2/5

200

x=(3/4); (5/12) + x

1 and (1/6)

300

x=2; - 4(-1 - 6x)

52

400

x = -3, y = 6 ; 6x + 12y²

414

500

a=-6, b=8, c=3 ; (-a + b)² + c 

199

Solving Equations

100

x + 27 = -20

x=-47

200

-47 + x = -30

x = 17

300

18x = 216

x = 12

400

-(x/3) = -12

x = 36

500

(3/2)x = -5/8

x = -5/12