Chapter 1 Review

Writing Equations

100

The difference of a number and 11 is 20

n - 11 = 20

200

The quotient of a number n and 8 added to 7 is equal to 76

n/8 + 7 = 76

300

9 less than 3 times a number is 21

3n - 9 = 21

400

4n/6 + 1 = -13

Example: The quotient of 4 times a number and 6 plus 1 is -13

500

12 times the square of the sum of twice a number and 10 is that same number cubed

12(2n + 10)² = n³

Solving Equations Easy

100

x - (-12) = 20

x = 8

200

6x = 63

x = 10.5

300

x/-7 = 14

x = -98

400

7 - 4x = -33

x = 10 

500

x/9 - 14 = 1

x = 135

Solving Equations Hard

100

(x - 6)/3 = 20

x = 66

200

-8(2x + 11) + 53 = 13

x = -3

300

14 + 10x - 8 = 5(2x - 1) + 11

All Real Numbers

400

3(x + 4) = 7x - 4x + 11

No Solution

500

8x - 3(x - 5) - 9 = 3(x + 8)

x = 9

Literal Equations

100

ab = c , for b

b = c/a

200

x + y = 3z , for y

y = 3z - x

300

4x - 3y = 8 , for x

x = (8 + 3y)/4

400

5c/ab = d , for a

a = 5c/bd

500

3c = (4c - b)/5

b = -11c

Proportions

100

4/5 = x/10

x = 8

200

11/43 = 2x/168

x = 21.49

300

If 5 cm on a map is 200 miles in real life, how many cm would be 500 miles be on the map?

12.5 cm

400

9/(x+8) = 5(x-1)

x = 12.25

500

If Dan can run 1 mile in 4 minutes and 45 seconds, how long would it take him to run 5 miles at the same pace?

23 minutes and 45 seconds