Algebra Review Module 2

Writing Equations and Word Problems

100

Write the equation that represents the sentence below.

Six times the sum of a number and 4 is equal to 10. 

DOUBLE

6(x+4)=10

200

Write a sentence for the equation below.

4 + 3x = 5x

Four plus a number times 3 is 5 times a number. 

300

The coldest temperature in Michigan was 11 degrees colder than the coldest temperature at Hawley Lake in Arizona. If Michigan's coldest temperature was 51 degrees, what was Arizona's?

What is 40 degrees? 

400

The standard width of a high school soccer field is 55 yards. If 1 yard = 3 feet, what is the width of the soccer field in feet?

165 feet

500

A car leaves Detroit at a speed of 60 miles per hour. Three hours later, a second car leaves Detroit traveling at a speed of 80 mph. The car's distances from Detroit at time t hours are shown below. 

60t and 80(t-3)

After how much time t will the two cars be the same distance from Detroit?

12 hours

Two Step Equations

100

Solve

2x + 3 = 5

x = 1

200

Solve

-2x -14 = 36

x = -25

300

DOUBLE

Solve

-3/4x = 12

x = -16

400

Solve

13 = -4x +5

x = -2

500

Solve for h

v = hpir^2

h = v/(pir^2)

Multi-step Equations

100

Solve 

9-x = x -9

x = 9

200

DOUBLE

Solve

2x+5 = 2(x+5)

No Solution

300

Solve

3(x+4) = 1 +3x +11

Infinite Number of Solutions

400

Solve for a 

(2 +3a)/5 = 10

a = 16

500

Solve for x

3(x+12) = 5x - 24

x = 30

Absolute Value Equations

100

Solve

Abs(x) = 12

x = 12, -12

200

Solve

Abs(x +6) = -5

No Solution

300

Solve

3abs(x+5)=15

x = 0

400

Solve

2abs(2x+5) = 18

x = 2, -7

500

Solve

2 + 6abs(2x+4) = 14

x = -3, -1

Proportions and Equations

100

Solve

21/x = 15/5

x = 3

200

Solve

(x+10)/12= 3/4

x = -1

300

Solve

(2x + 10)/7 = 14

x = 44

400

A triangle has and area of 30 ft^2. What is the base if the height is 5. 

A = 1/2 B*H

B = 12

500

The standard ratio for a smartboard for width to height is 5:4. If the width is 70 inches, what is the height?

56 inches