Algebra 2 - Fall Semester Review

Be the Solution

Through the Looking Graph

Positivity Training

System-hood of the Traveling Pants

In Quad We Trust

100

Solve for x:

8(x-7)=-12-3x

x=4

100

Place into slope-intercept form:

2x - 3y = 12

y=²⁄₃x - 4

100

Solve for b:

|-2 + 7b| = 30

b=³²⁄₇, -4

100

Graph the lines and identify the solution:

y = -³/₄x - ⁷/₄

x = -1

Solution: (-1, -1)

See graph

100

Factor the expression:

12x² - 8x

4x(3x - 2)

200

Solve for p:

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

p = -²/₅

200

A line goes through (-1,-1) and has a slope of -3. Write its equation in slope-intercept form.

y = -3x - 4

200

Graph the solution:

|4n - 9| > -1

All Real Numbers

◄▬|▬|▬|▬|▬|▬|▬|▬▶

200

How many solutions does the system of equations have?

y = -¹/₂x + 1

y = ⁵/₂ x² - 2

2 Solutions

200

Factor the trinomial:

3x² + 20x + 32 = 0

(3x + 8)(x + 4)

300

¹/₂x - 4 = -5(x + 4) - ¹/₂

x = -3

300

Graph the linear inequality:

y < 6x + 3

See board.

300

Graph the equation:

y = |x| + 4

See board.

300

Graph the solution for the system of inequalities:

y > x + 2

y ≥ 4x - 1

See graph

300

Find the solutions to the quadratic using factoring:

5m² + 120 = 50m

m = 4, 6

400

Solve for slope-intercept form:

6x - 2y < 1

y > 3x - ¹/₂

400

Graph the solution:

-4 + 8y < -( y - 5)

y<1

◄▬|▬|▬|▬◎--|--|--▶

400

Simplify:

(2 - 5i) - (6 - 3i)

-4 -2i

400

Solve the system of equations by elimination:

x + 9y = 26

8x - 18y = 28

(8, 2)

400

Find the discriminant, then state the number and type of solutions:

4b² - 3b - 12 = -5

Discriminant: 121

2 Real Solutions

500

If ax² + bx + c = 0, then x =?

[Hint: The solution is...]

-b±√ b² - 4ac

500

Graph the solution:

-1 < 7 + 2x ≤ 11

-4 < x ≤ 2

◄--|--◎▬|▬|▬|▬|▬|▬◉--|--|--▶

-4 2

500

Simplify:

(2 + 7i)( -4 - 8i)

48 - 44i

500

Solve the system of equations by substitution:

3x + 2y = 2

y = 2x - 6

(2, -2)

500

Find the solution(s):

7x²- 10x = 480

x = -7.60, 9.03