Algebra 2 Midterm Review

Solving Linear Equations

100

Solve: 

5p + 11 = -19

p = -6

200

Solve: 

18x + 5 = 12x + 11

x = 1

300

Solve: 

2 (x + 2) + 3x = -4 + 2x + 7

x = -1/3

400

Solve: 

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

Infinitely many solutions

500

Solve: 

-2 (v - 2) = -3 - 2v

No solution

Graphing Lines

100

Find b:

y = 3x - 4

b = -4

200

Find m: 

y = -4/5 x +9

m = -4/5

300

Which type of line is 

y = 7?

A horizontal line

400

Which type of line is 

x = -1?

A vertical line

500

Put y - 8x = 15 into 

slope-intercept form.

y = 8x + 15

Solving Systems of Equations

100

How many solutions does a pair of parallel lines have?

No solution

200

How many solutions does a pair of lines that are exactly the same have?

Infinitely many solutions

300

How many solutions do two lines that meet at a point have?

One solution

400

Solve by Substitution:

5x - 2y = 4

y = -x + 5

(2, 3)

500

Solve by Substitution:

y = 6x - 11

-2x - 3y = -7

(2, 1)

Analyzing and Graphing Quadratic Functions

100

What is the domain of all quadratic functions?

(-∞, ∞)

200

What is the vertex of 

f(x) = 2 (x - 5)² - 8?

(5, -8)

300

What is the graph pattern of 

f(x) = -3 (x + 6)² + 4?

-3, -9, -15

400

What is the axis of symmetry of 

f(x) = -2x² - 12x - 10?

x = -3

500

Find the range of 

f(x) = (x + 4)² - 2.

[-2, ∞)

Solving Quadratics by Square Roots

100

Solve:

p² = 9

p = {-3, 3}

200

Solve: 

n² - 5 = -4

n = {-1, 1}

300

Solve: 

5x² - 20 = 0

x = {-2, 2}

400

Solve: 

3x² + 100 = 25

x = {-5i, 5i}

500

Solve: 

10z² - 10 = 470

z = {-4√ 3, 4√ 3}