Mr. Knies Algebra Exam Review

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 + 2 - 2x = 9 + 3x

x = -12

500

Solve: 5(x-2)=x-12

x = -0.5

Miscellaneous

100

Algebra: Is this a function: {(1, 2), (2, 3), (2, 4)} 

No

200

Algebra: simplify: 3(6wd - 3) + 3wd 

Algebra: 21wd - 9 

300

What property is shown:

(a*b)*c = a(b*c)

Associative Property of Multiplication

400

Simplify: a(b - c) - 2a(c + b)

-1ab - 3ac

500

Algebra: Solve for a: ax + b = c 

Algebra: a = (c - b)/x 

Functions

100

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

Algebra: y= mx + b

200

g(x) = 3x²+1. Find g(3)

28

300

Solve the system:

x + 2y = 13

-x + y = 5

(1/6)

400

What is the axis of symmetry of the function f(x)=x²+6x-1

x = -3

500

Describe the transformations of g(x) from f(x)=x² if g(x) = -3(x+2)²+1

Reflection in the x axis, vertical stretch by 3, translation 2 units left and 1 unit up

Slope

100

Find the slope: y = 3x + 5

3

200

What is the slope of the following equation:

2x + 2y = 8

slope = -1

300

Write an equation of a line that has a slope of 3 and goes through the point (0,-8)

y=3x-8

400

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

slope: -5/2

500

Write an equation of a line that passes through (3,2) and (-9,10).

y=-2/3x+4

Factoring

100

Factor the GCF of 4x²-10x

2x(2x-5)

200

Factor x²-5x-36

(x-9)(x+4)

300

Factor 2x²-22x+60 

 

2(x-5)(x-6)

400

Factor 2x²-5x-7

(x+1)(2x-7)

500

Factor x³+3x²+2x+6

(x+3)(x²+2)

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