Solving Equations
Proportions
Dimensional Analysis
Word Problems
100

Solve for x. 

3x+4=10

x=2

100

Solve the proportion: 

1 = 5

k    34

k=6.8

100

How many kilograms are in 3.5 pounds? 

(1 kilogram = 2.2 pounds)

1.59 kilograms

100

Last Friday, Spencer had $45.50. Over the weekend he received some money for raking the leaves. He now has $56. How much money did he receive for raking the leaves?

$10.50

200

Solve for n. 

4(n-1)=35+2n

n=19.5

200

Solve the proportion: 

x-23

7       4



x=7.25

200

How many seconds are in 42 minutes?

2520 seconds

200

A group of 7 friends went to the movies and ordered some drinks and popcorn. The total came out to $56.90. If they split the bill (and the snacks) equally, how much should each friend pay? 

$8.13

300

Solve for k. 

2(k+3) = 5k-3(k-2)

Infinitely Many Solutions

300

What number is 45% of 370

166.5

300

How many meters are in 3 miles? 

(1 mile = 5280 feet)

(1 foot = .305 meter)

4831.2 meters

300

A group of 337 students went on a field trip. Seven buses were filled, and 8 students traveled by car. How many students were in each bus?

47 students

400

Solve for m. 


m - a = 10

4               

m=40+4a or 4(10+a)

400

What percent of 37 is 12? 

32.4%

400

Convert 33 feet per second to miles per hour. 

(5280 feet = 1 mile)

22.5 miles per hour

400

At Half-Price Books Alyson buys 3 boxes of books for 3rd grade classroom. By the fourth week of school, half of all of her new books were destroyed. She now only had 12 left. How many books were in each box? 

8 books

500

Solve for x. 

2x + 5 = 7

3      2     3

x=-1/4

500

Gibson gets a 14 pound bag of dog food. At meal times, he eats 3% of his total bag of dog food. How many pounds of dog food does Gibson eat at each meal? 

.42 pounds

500

Convert 23 kilometers per hour to meters per second.(1 km=1000m)

6.39 meters per second

500

Ms. Zahursky is looking into wedding venues. Venue A charges a booking fee of $550, plus $75 per guest. Venue B charges $86 per guest, and does not charge a booking fee. With how many guests will the price be the same for each venue? 

50 guests