December IM1 Final Review

Simple 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 + 2x = 2(x - 6)

No solution

Inequalities

100

5>2x-5

5>x

200

3(2x + 1) < 20

x < 17/6

300

-5x - 4 < -24

x > 4

400

-6x + 7 < 10x - 5

3/4 < x

500

-10 < 2x + 4 < 30

-7 < x < 13

Slope Intercept/Linear Equations

100

Algebra: What is the slope-intercept of a linear equation

Algebra: y= mx + b

200

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

y = -1/2x + 2

300

Solve: (3x-5)/4 = 5

x = 25/3

400

Simplify: -4(3x - 2) -2(4 + 3x)

-18x

500

What is the equation of the line in slope intercept from passing through the points (4, -13) and (-1, -3)?

y = -2x - 5

Slope/Simplifying Equations

100

Simplify the expression 3(2x - 9) + 7(2x - 3y)

20x - 27 - 21y

200

What is the slope of the following equation:

2x + 2y = 8

slope = -1

300

Solve: (3 - 3x)/7 = 6

x = -13

400

Simplify: 22p - 7p + 19 - 15 - 12

15p - 8

500

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

slope: -5/2

Evaluating/Property

100

What property is shown:

a(b + c) = ab + ac

Distributive Property

200

Simplify:  -2x + 4y - 3x + 8y - 15 + 12x - 4

7x + 12y - 19

300

Evaluate:

[(2*3)+(7*4)]+2

Algebra: 36 

400

Simplify: -(x + 7) -2(4x + y)

-9x -7 -2y

500

Simplify: 1/4(-4 + 16x) - 2/5(20x - 15)

5 - 4x

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