Algebra Review

Simple Equations/Inequalities

100

Solve: 

4(2x−3)+5=3x+17

x = 24/5

200

Solve: 

5(x−2)+7≤3x+9

 x≤6 

300

Solve: 2(3x+4)−6=4x+10 

x = 4

400

Solve: 3(2x−5)+4>x+7 

x>18/5  or  (3.6)

500

Solve: 6(x−3)+8=2(2x+5) 

x = 10

Functions

100

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

No

200

Is the function y=3x+4 linear or nonlinear?

Linear

300

Algebra: Solve for a: ax + b = c 

Algebra: a = (c - b)/x 

400

Is y²= x² + 3 linear or non-linear?

Nonlinear

500

Solve the following literal equation for l.

P=2l+2w

(P-2w)/2

Slope Intercept/Linear Equations

100

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

Algebra: y= mx + b

200

What is the standard form of a linear equation?

Ax+By=C

300

Convert to Slope Intercept Form: 13x + 13y = 18 

y = -x + 18/13

400

Convert to Slope-Intercept Form: 17x + 8y = –18 

y = -17/8x - 9/4

500

Write the equation in slope intercept form. 

−2(3y+4)+5x=10

y=5/6x−3

Slope/Simplifying Equations

100

Find the slope: y = 3x + 5

3

200

What is the slope of the following equation:

2x + 2y = 8

slope = -1

300

A line with a slope of 6 passes through the point (2,6). What is its equation in point-slope form?

              y-y₁ = m( x- x₁)

y-6 = 6 (x-2)

400

The points (9,3) and (4,4) fall on a particular line. What is its equation in point-slope form?

y-3 = -1/5 (x-9)

or

y-4 = -1/5 (x-4)

500

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

slope: -5/2

Evaluating

100

Simplify: 3(x-4)+2x

5x-12

200

Combine like terms

6p^2−4p+3p^2+7p−5

9p^2+3p−5

300

Evaluate: 2(j–12.3)–7.6 = 4.8

j =18.5

400

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

-9x -7 -2y

500

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

-4x+5