Chapter 7 Review

Two-step Equations

100

3x + 4 = 19

x = 5

200

m/3 - 8 = 4

m = 36

300

(n - 7)/ 5 = -4

n = -13

400

-23 - c = -19

c = -4

500

25 - 13m = -14

m = 3

Multi-step Equations

100

2(5x - 3) = 14

x = 2

200

38 = -3(4y + 2) + y

y = -4

300

-3(x + 4) = 2(x - 5) 

x = -2/5

400

-4(c - 3) = 2(2c + 6)

c = 0

500

8(7 - a) - 8 = -16(a - 2) 

a = -2

Fraction/Decimal Equations

100

8m - 3m = 4

m = 4/5

200

1.06m - 3 = 0.71

m = 3.5

300

2/3 (m - 6) = 3

m = 10.5

400

1/3 m + 1/6 = 4/9

m = 5/6

500

3/5 a - 2 = 1/3 (a + 10)

a = 20

Inequalities

100

Solve and graph on number line:

9 + 2y < 7

y < -1
(open circle, to the left)

200

Solve and graph on number line

-3x - 4 > 8

x < -4  (closed circle, to the left)

300

Translate and solve:

Six less than a number is less than -9

x - 6 < -9
x < -3

400

Solve and graph on a number line:

2x -1(9 - 3x) > 8x - 11

x < 2/3  (open circle, to the left)

500

Translate into an inequality and solve:

The sum of two consecutive positive integers is less than 10. List all possible pairs.

2x + 1 < 10

The pairs are:
4 and 5
3 and 4
2 and 3
1 and 2

Transforming Formulas

100

Solve for y

3 + y = m

y = m - 3

200

Solve for y:

-5y = m

y = -m/5

300

Solve for y:

2y - 1 = c

y = (c+1)/2

400

Solve for W:

P = 2L + 2W

W = (P - 2L)/2

500

Solve for c:

3(a + c) = m

c = (m - 3a)/3 or c = m/3 - a