Algebra 2 Review

Solving Equations

100

-2x + 7x = -15

x = -3

200

-5(1 - 3n) = -95

n = -6

300

-5n - 4 = -2n + 11

n = -5

400

-3(-4b + 6) = 38 + 4b

b = 7

500

x + 2(1 - 8x) = -2(6x - 4)

x = -2

Solving System of Equations

100

4x - 3y = -15

-4x - 10y = 2

(-3,1)

200

-x + 6y = -18

3x - 12y = 30

(-6, -4)

300

y = 4x - 11

-4x - 2y = 10

(1, -7)

400

2x + 2y = 18

-3x - 7y = -31

(8, 1)

500

y = 6x + 23

y = 3x + 14

(-3, 5)

Graphs of Quadratics

100

State standard form of a quadratic equation.

y = ax² + bx + c

200

Determine the vertex of this quadratic:

y = 3x²

(0, 0)

300

Determine the vertex of this quadratic:

y = (x - 5)² + 2

(5, 2)

400

Determine the vertex of this quadratic:

y = 3x² - 12x + 15

(2, 3)

500

Determine if this quadratic would have a min (opens up) or max (opens down) value & explain why:

y = -x² + 3x - 9

max value because negative a-value

Factoring Quadratics

100

Factor:  x² + 2x - 15

(x - 3)(x + 5)

200

Factor:  x² - 17x + 72

(x - 8)(x - 9)

300

Factor:  7x² - 44x + 12

(7x - 2)(x - 6)

400

Solve:   2x² - 11x - 21

(2x+3)(x-7)

500

Solve:  10x² - x - 3 

(5x-3)(2x+1)

Miscellaneous

100

Identify the GCF of this expression:

6x² + 10xy - 14x

2x

200

State the 3 types of solutions to a system of linear equations.

1 solution, no solution, infinite solutions

300

Determine the vertex of this quadratic:

y = 2(x + 1)² + 7

(-1, 7)

400

Solve the inequality:

8(x - 3) < -24 + 8x

No Solution

500

Factor Completely: 12x² - 3

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