Ch.7 Solving Equations and Inequalities

Solving 2-Step Equations

100

2x - 4 = - 6

x = -1

200

-5x + (-6) = 19

x = -5

300

1/8v-9=-13

v = -32

400

5/8x - 1/2 = 3/4

x = 2

500

93.96 = 4.7p + 8.7p - 2.6p

p = 8.7

Solving Multi-step Equations

100

y - 4y = 33

y = -11

200

4p + 5 - 7p = -1

p = 2

300

0 = 5(3k + 1)

k = 

-1/3

400

9 - 3(n - 5) = 30

n = -2

500

x + 9 = 6(x - 11)

x = 15

Transforming Formulas

100

t = 0.05p for p

p= t/0.05

200

m = n - 2k for n

n = m + 2k

300

c = 3ab for b

b = c/(3a)

400

d = f/6 + 11

for f

f = 6(d - 11)

500

p = 2l + 2w for w

w = (p-2l)/2

Writing Equations

100

The product of 6 and 3 more than k is 48.

30

200

The bill for the repair of a computer was $179. The cost for parts was $44, and the labor charge was $45 per hour. How many hours did it take to repair the computer?

3 hours

300

Ms. Culjak bought a magazine about Taylor Swift for $3 and some candy bars for $2 each. She spent a total of $19. How many candy bars did she buy?

8 candy bars

400

Long’s Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month, Jalissa spent $26.95 on a mug and refills. How many refills did she buy?

12 refills

500

Find the three consecutive even integers whose sum is 156

50, 52, 54

Inequalities

100

20x - 7 > 18x - 3

x < 2

200

1/3c - 1/9 < -7/9

c < -2

300

4(m-3) > 12-2m

(greater than or equal to)

m>4

(greater than or equal to)

400

=1/6b + 5 < 4

(less than or equal to)

b>6

(greater than or equal to)

500

- 14 < -9y + 13

(less than or equal to)

y < 3

(less than or greater than)