Quartrer 2 Algebra Review

Solving Equations

100

Solve: 2x + 2 = 18

x = 8

200

Solve: 3x + 4 = 7

x = 1

300

Solve: 3x + 3 - 2x = 21

x = 18

400

Solve: 4x - 5 - 3x + 2 - 2x = 9

x = -12

500

Solve: 21 + x = 2(x - 6)

x = 33

Inequalities

100

-6x+3 > -39

x < 7

200

7k + 1 ≤ 8      OR      -7 < k - 10

k ≤ 1 or k > 3

300

8g - 6(g + 1) < 4(2g - 9)

g > 10/3 (decimal: 3.333)

400

-4 < -3b + 2 ≤ 20

2 > b ≥ -6 

Or you could write

-6 ≤ b < 2

500

7 |w-6| ≥ 21

w ≥ 9 and w ≤ 3

Or you could write

3 ≥ w ≥ 9

Writing Linear Equations

100

What is the slope-intercept form of a linear equation

y= mx + b

200

Given point (3, 5) and m=1

Write the equation of the line

y - 5 = 1(x - 3)

Or you could write

y = x + 2

300

Write the following equation in slope-intercept form:  5(x + 2y) = 20

y = -1/2x + 2

400

Given the points (-4, 2) and (0, 3)

Write the equation of the line

y = 1/4x + 3

Or you could write 

y - 2 = 1/4(x + 4)

Or you could write 

y - 3 = 1/4(x - 0)      ----->      y - 3 = 1/4x

500

Given the points (1, 3) and (2, 5) 

Write the equation of the line

y - 5 = 2(x - 2)

Or you could write 

y - 3 = 2(x - 1)

All things Slope

100

Find the slope: 2(3x - y)  = -10 

3

200

What is the slope of the following equation:

2x + 2y = 8

slope = -1

300

 What's the slope of the line passing through (3,9) (5,4)

slope: -5/2

400

Determine whether the lines are parallel, perpendicular, or neither: 

y = 2x -8

y = 1/2x + 6

Neither

500

Write the equation of the PERPENDICULAR line through the point (-6, -2)

y = 2/3x - 9 

y + 2 = -3/2(x + 6)

Or you could write

y = -3/2x - 11

Literal Equations

100

Solve for x

x - c = d - r

x = d - r + c

200

Solve for a

u = b - a - k

a = b - u - k

300

Solve for a

ak = w + v

a = (w + v)/k

400

Solve for x

xc = r/d

x = r/cd

500

Solve for x

y - y₁ = m(x - x₁)

x = (y - y₁ + mx₁)/m

Absolute Value

100

Solve the equation: 

|x|-6=4

x = 10 or x = -10

200

Solve the equation.

4|x-5| = 12

x = 8 or x = 2 

300

Solve: 

4|x+3|-7=5

x = 0 or x = -6

{0,-6}

400

Solve the equation.  

-3|x-1|+5=8

No Solution.

500

Solve the equation. 

0.8|x+4|-3=1

x = -9 or x = 1