Module 2 Review

Write an Equation/Sentence

100

8x + 2 = 35

Eight times a number plus two equals thirty-five

200

Five times x squared less two is thirty.

5x² - 2 = 30

300

3(x-4) = 21

Three times the difference of a number and four equals twenty-one

400

Four times the sum of a number x and a number y is equal to 20

4(x+y)=20

Solve the Equation

100

5-x=21

x= -16

200

3/5 x-4=36

x=200/3 or 66.7

300

Solve for x

(32-hx)/5 = 20

x=-68/h

400

6(x-1)=3(2x-7)

No solution

Word Problems

100

A dripping faucet wastes 3 cups of water every 2 days. How much water is wasted in a week?

3/2 = x/7

x= 10.5 cups/week

200

 The thermometer is accurate to +- 2^oF. Write an absolute value equation that could be used to find the greatest and least possible temperatures if the thermometer reading is 17^oF. 

|x-17| = 2

x=19 Degrees F

x= 15 Degrees F

300

Ethan bought a notebook and a box of pencils for $5. The notebook cost $3 and there are 10 pencils in a box. Write and solve an equation to find the cost of one pencil. 

10x + 3 = 5

x= $0.20/pencil

400

The coldest temperature recorded in Alaska was -80^oF. This was 10^oF warmer than the coldest temperature recorded in Siberia. Write an equation that can be used to find the coldest temperature recorded in Siberia. What is the coldest temperature recorded in Siberia?

x + 10 = -80

x = -90^oF

Absolute Value

100

|5x + 4| = -877

No Solution

200

|3x - 6| = 12

x = 6 and x = -2

300

|x-2|=17

x= 19 and x= -15

400

|2y+6| = 30

y= 12

y= -18

Proportions

100

w/12=10/15

w = 8

200

(x-3)/5 = 6/10

x=6

300

(x+15)/10 = 2/5

x= -11

400

(9y-3)/9 = (5y+5)/3

y = -3