Algebra

Foundations of Algebra

100

Write the expression for the word phrase:

6.7 more than the product of 5 and n

5n+6.7

200

Evaluate the expression for s=4 and t=8

(t-s)⁵

1,024

300

Find the sum of the fractions

7/9 + (-5/12)

13/36

400

Use the Distributive Property to simplify the expression

(-8z - 10)(-1.5)

12z + 15

500

The table shows how many days (x) I worked babysitting and how much I earned (y). How much will I have earned working 9 days?

x l y

1 l 17

2 l 34

3 l 51

4 l 68

153

Solving Equations

100

g - 3.5 = 10

13.5

200

(3/8)p = 9

p = 24

300

(m/6) + 5 = 26

m = 126

400

7(6 - 2a) = 5(-3a + 1)

a=-37

500

What is 125% of 12.8?

16

Solving Inequalities

100

Solve the inequality

9 < p - 3

12 < p or p > 12

200

Solve the inequality

(-3/2)b < 6

b > -4 or -4 < b

300

Solve the inequality

3m - 4 < 6m + 11

m > -5 or -5 < m

400

Solve the compound inequality

-4 < k + 3 < 8

-7 < k < 5

500

Solve the compound inequality

1/4 < (2x - 7)/2 < 5

3 3/4 < x < 8 1/2

Linear Functions

100

Find the slope

(-6, 1), (4, 8)

7/10

200

Find x

(3, 5) (x, 2); undefined slope

x=3

300

Find the slope and y-intercept

1/4x - 1/3 = y

slope-1/4

y-intercept-1/3

400

Give an equation for the following data

x l y

0 l 1127

1 l 1219

2 l 1311

3 l 1403

92x + 1127 = y

500

Write an equation in point-slope form with the following points

(1,4) (-1,1)

y - 4 = 3/2(x - 1)

Miscellaneous

100

-2.5 - 17.8

-20.3

200

Solve for x

7 = (x-8) / 3

x = 29

300

Solve the inequality

3(k - 5) + 9k > -3

k > 1

400

Use slope-intercept form on the following points

(-2,4) (3,-1)

y = -x + 2

500

Use point-slope to write an equation with the following points

(-6,6) (3,3)

y - 6 = -1/3(x + 6)