Algebra Chapter 3

Ratios and Proportions

100

Find the unit rate: 130 miles/2 Hours (Need Units)

What is 65 miles/ 1 hour

200

x/6=10/30

What is 2

300

2/4=x/-3

What is -1.5

400

(x+2)/9 = 9/27

What is 1

500

(x-3)/7= (17+x)/-21

What is -2

One- Step Equations

100

x+5==-10

What is -15

200

y-10=25

What is 35

300

- 1/3x =12

What is -36

400

1/4x=2

What is 8

500

-9x=81

What is -9

Two step Equations

100

-15x -5x = -40

What is 2

200

1 - 9y = 100

What is - 11

300

1/3x + 8 = 14

What is 18

400

3y + 16 - 2y =-16

What is -32

500

5y + 21 -9y = -27

What is 12

Variables on each side

100

- 5x =3x + 31

What is -3

200

3a - 1 + a = -2 (a + 8)

What is 4a - 1 = -2a + -16 6a =15 A = 15/6 A =12 1/2

300

7 - 5X =3X +31

What is 7 =8X + 31 24 = 8X 3 = X

400

m-5 = .5(12 - 14m)

What is 11/8 or 1.375

500

1/3(18 - 9c)=6 - 3c

What is Identity (Infinite Solutions)

word problems

100

Ms. Cassandra drinks 5 cups of coffee in 4 hours.  Set up and solve a proportion to find how many cups of coffee she drinks in 7 hours.

What is 8.75

200

Starbucks sells a refill mug for $9.99. Each refill costs $1.25.  Last month, Mr. Nick spent $19.99 on a mug and refills.  How many refills did he buy?

What is 8

300

3 consecutive integers have a sum of 84.  Write and solve an equation to find the value of each of the 3 integers. (Need all 3)

What are 27, 28, 29

400

3 consecutive odd integers have a sum of 171.  Write and solve an equation to find the value of each of the 3 integers.

What are 55, 57, and 59

500

Two planes leave from the same place traveling in opposite directions.  Both planes travel for 2 hours.  Plane B flies 15 miles per hour faster than plane A.  If the total distance between the planes after 2 hours is 450 miles, find the speed of both planes.

What is 105 mph for Plane A and 120 mph for Plane B