Chapter 3 Review

Writing Equations

100

8 times some number equals 40.

8x = 40

200

5 time some number plus three equals 28

5x + 3 = 28

300

Write and solve:

7 time some number equals 49.

7x = 49

x = 7

400

Write and Solve:

8 times some number plus 7 equals 71.

8x + 7 = 71

x = 8

500

Write and solve:

6 subtracted from some number is 25.

x - 6 = 25

x = 31

One-Step Equations

100

x - 7 = 9

x = 16

200

m - (-2) = 9

m = 7

300

5x = 25

x = 5

400

Karim notices the orginal price of a computer is $1,300.00. The discount is $275. How much does he pay?

$1025

500

A number f multiplied by -6 is 66. What is the value of f?

f = -11

Two Step Equations

100

3x - 6 = 6

x = 4

200

4t + 5 = 25

t = 5

300

6s - 10 = 10

s = 3 1/3

400

-1/2 g + 2 = 6

g = -8

500

-9c - 4 = -4

c = 0

Literal Equations

100

-ax = b

x = -b/a

200

-b = -ax

x = b/a

300

cx - bx = a

x = a/(c-b)

400

-c = ax - bx

x = -c/(a-b)

500

x+b = a - b

x = a - 2b

Pythagorean Theorem

100

Solve for c.

9² + 40² = c²

c = 41

200

a = 18

b = ?

c = 30

b  =24

300

Solve for a.

a² + 9 = 25

a = 4

400

a = ?

b= 6

c = 10

a = 8

500

A 10-foot ladder is leaning against a pole. The base of the ladder is six feet away from the pole. How high up the pole does the ladder reach?

8 Feet