Algebra 1 Final Exam Review

Systems of Equations

100

Solve the system of equations:
-3x-y=-5
2x-2y=-2

(1,2)

200

Solve the system of equations:

2y=x+1

-2x-y=7

(-3,-1)

300

Solve the system of equations:

x + y = 17

4x + 2y = 44

5 and 12

400

Solve the system of equations:

y = x² + 4x - 6

y = -6

(-4, -6) and (0, -6)

500

Solve the system of equations:

y = -x² - 2x + 1

y = -2x + 6

No solution

Exponents

100

Simplify: (-4)²(-4)(-4)⁷

(-4)¹⁰

200

Simplify: (5³)⁶

5¹⁸

300

Simplify: (3xy³)²

9x²y⁶

400

Simplify: (4x²)^-2

1/(16x⁴)

500

(2x^-5)^-2

1/4(x¹⁰)

Polynomials

100

Simplify: (2x² + 7x + 3) - (x² - 7x + 1)

x² + 14x + 2

200

(3x² - 5)(2x + 7)

6x³ + 21x² - 10x - 35

300

Simplify (4n+7)².

16n²+56n+49

400

Factor x² - 7x - 18

(x - 9)(x + 2)

500

Factor 3x² - 7x + 4.

(x - 1)(3x - 4)

Quadratics

100

Graph the function and label the vertex and axis of symmetry. 

y=2x² + 12x + 10

(-3,-8)

200

Solve: 14x² - 10 = 18

x = -1.41, 1.41

300

Solve: 5p² - 9p - 2 = 0

p = -1/5, 2

400

Solve: 2x² = 16x

x = 0, 8

500

Solve: -x² + 6x = 10

No Real Solution