Chapter 1 Review

Solving Equations

100

0.9 = y + 2.8

y = -1.9

200

1.3z = 5.2

z = 4

300

−n/5 = −3

n = 15

400

3/2(x - 2) - 5 = 19

x = 18

500

6 = 1/5w + 7/5w - 4

w = 25/4

Solving Equations

100

3y + 11 = -16

y = -9

200

2y - 16 = 1/3(y - 3)

y = 9

300

n + 5n + 7 = 43

n = 6

400

5(1 + x) = 5x + 5

all real numbers

500

3(n + 4) = 1/2(6n + 4)

no solution

Modeling Quantities

100

12/d = 9/3

d = 4

200

6/15 = m/10

m = 4

300

Convert 2,750 minutes to days. 

1.9 days

400

Convert 4.75 miles to meters.

7,647.5 m

500

Convert 4.8 gallons to fluid ounces.

614.4 fl oz

Absolute Value

100

|y + 3| = 17

y = 14

y = -20

200

2|k - 3| = 18

k = 12

k = -6

300

-2|5w - 7| + 9 = -7

w = 3

w = -1/5

400

|x - 2| = |4 + x|

x = -1

500

-4|8 - 5n| = 13

no solution

Rewriting Equations

100

Solve the literal equation for y. 

2x - 4y = 20

y = 1/2x - 5

200

Solve the literal equation for y. 

8x - 3 = 5 + 4y

y = 2x - 2

300

Solve the literal equation for x. 

a = 2x + 6xz

x = a/2 + 6z

400

Solve the literal equation for x. 

y = 4x + rx + 6

x = y - 6/4 + r

500

Solve the literal equation for y. 

11 - 1/2y = 3 + 6x

y = 16 - 12x