Algebra Review

Slope

100

Find the slope between the points (3, 5) and (-2, -5).

10/7

200

Find the slope formed by the line connecting the points (-11, 7) and (-11, -2)

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300

Write the following equation in slope-intercept form:

2x - y = -8

y = 2x + 8 

400

Write the equation in slope-intercept form:

15x - 3y = 45

y = 5x -15

500

Find x using the information below

(-3, -2) and (x, 6); m=2

x = 1

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100

Solve for x

|4x +2| = 34

x = {-9, 8}

200

Solve for x

-3(x + 2) - 3x < 2x + 18

x > -3

300

Solve for v

4|v - 2| - 3 = 25

v = {-5, 9}

400

-27 < -7x - 13 < 8 

-2 > x > 3

500

|x + 3| - 1 < 5

-9 < x < 3

Solve for x

100

Solve for x

1/3 x - 7 = -4

x = 9

200

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

No Solution

300

Solve for x

(x +2 ) / 3 = (x + 4) / 5

x = 1

400

Solve for x

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

Infinite Solutions

500

Solve for x 

6(2x - 6) = -7(-2x + 4)

x = -4

Simplify

100

Simplify the expression:

3x² - 4x - 3(x² + 9x -2) 

-31x +6

200

Simplify 

a⁵b³/a⁷b

b²/a²

300

6 + 8(4w - 7) - (2w + 1)

30w - 51

400

|-7² + 3² * 4| + 18 ÷ 2 * 5

58

500

40 - 32 ÷ 8 + 5 * -2

26

Random

100

What is 2 3/4 ÷ 2/3?

4 1/3

200

If a circle has a radius of 7 cm what is the circumference? (round to the nearest hundredth)

43.98 cm

300

Originally a shirt cost $32.  It is discounted 30%.  What is the final price of the shirt before taxes?  

$22.40

400

What does 4! = ?

4! = 1*2*3*4 = 24

500

If there are 35 students in a class and the ratio of boys to girls is 2:3.  How many girls are in the class?  

21 girls