Algebra 1 Reviewer

Linear Equations

100

Solve for x: 3x+5=20.

5

200

Solve for: 2x-3/4 = 5

23/2

300

Solve for x: 5 (x - 2) = 3x + 10

10

400

Solve for x: −2(3x+4)+5=x−7.

4/7

500

Solve for x: 3x + 1/2 - x-4/3 = 5

19/7

Variable Expressions & Word Problems

100

"5 more than a number"

x+5

200

"Seven times a number decreased by 4 equals 24"

7x - 4 = 24

x = 4

300

Solve: Area: (2x + 3) (x-1)

2x² + x - 3

400

Cost Equation: C=20 + 0.10t. If C= 40. Solve for t

t = 200 

500

Pay: P =300 +0.05S. For P = 800. Solve for S

S = 10,000

Exponents and Radicals

100

Solve: 3² . 3¹

27

200

Solve: (2x³) (3x²)

6x⁵

300

Simplify: √50

5√2

400

Solve: 2^{x + 1} = 16

x = 3

500

Solve: √72 + √8

8√2

Polynomials

100

Add: (3x² + 2x - 5) + (x² - 4x + 7)

4x² - 2x + 2

200

Multiply: (x+3) (2x-1)

2x² + 5x - 3

300

Simplify: (x² - 3x + 2) + (-2x² + x - 6)

-x² - 2x - 4

400

Multiply: (x - 2) (x² + 2x + 4)

x³ - 8

500

Divide: (polynomial long division):

Divide: 2x³ + 3x² - x + 5 by (x + 2)

(2x² - x + 1) + 3 

Factoring and Quadratics

100

Factor: x² - 9

(x - 3) (x + 3)

200

Factor: x² + 5x + 6

(x + 2) (x + 3)

300

Factor 2x² + 5x - 3

(2x - 1) (x + 3)

400

Factor and solve: x² - 4x - 12

(x - 6) (x + 2)

x = 6, -2

500

Solve using quadratic formula: 3x² -2x - 8 = 0

x = 2, -4/3