Problem Solving
Patterns
Expressions and Formulas
Proportional Reasoning
Unit Analysis
100
Make a table to help solve this problem.
Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh. Cory and Molly visited cities with two words in their names. Mao and Cory visited cities whose names start with an S. Who visited Santa Clara?
Cory
100
A bus moves away from a bus stop in a straight line. It moves 10 meters by the end of the 1st second, 20 meters by the end of the 2nd second, and 30 meters by the end of the 3rd second. How many meters away is the bus from the bus stop after 10 seconds?
100
100
Translate the sentence into an equation using n as the unknown number. Then solve the equation for n.
Two times a number increased by 5 is 15.
2n + 5 = 15
n = 5
100
A hockey player made 9 goals in 12 games. Find the ratio of goals to games (in simplest form).
3:4
100
Find each unit rate.
140 mi in 3.5 h
40 mph
200
Make a table to help solve this problem.
Cory, Srey, Molly, and Mao each visited a different city: Santa Clara, Seattle, Des Moines, and Pittsburgh. Cory and Molly visited cities with two words in their names. Mao and Cory visited cities whose names start with an S. Who visited Pittsburgh?
Srey
200
List the next three terms in the following sequence:
1, 1, 2, 3, 5, 8, ...
13, 21, 34
200
Translate the sentence into an equation using n as the unknown number. Then solve the equation for n. Round to the nearest hundredth if necessary.
The quotient of a number divided by 6 is 3.5.
n/6= 3.5
n=21
200
A basketball player made 36 free throws in 16 games. Find the ratio of free throws to games. (in simplest form).
9:4
200
Jeremy's car went 300 miles (highway) on 10 gallons of gasoline. What was the average number of miles per gallon?
30 mpg
300
City Community College plans to increase its enrollment capacity to keep up with an increasing number of student applicants. The college currently has an enrollment capacity of 2200 students and plans to increase its capacity by 70 students each year. What will the enrollment capacity be 3 years from now?
2410
300
List the next three terms in the following sequence:
1, 2, 4, 8, 16, 32,...
64, 128, 256
300
The formula for the circumference of a circle is 
. Determine the circumference when the radius r is 10 cm.
94.2 cm
300
There are 84 boys in a freshman class of 146 students. Find the ratio of boys to girls (in simplest form).
42:31
300
The scale on a map states that 1 centimeter corresponds to 20 kilometers. On the map, two cities are 0.3 cm apart. Find the actual distance.
6 km
400
An airport parking lot charges a basic fee of $2 plus $1 per half-hour parked. What is the total charge from parking in the lot for 72 hours?
$146
400
List the next three terms in the following sequence:
1, 9, 17, 25, 33, 41,...
49, 57, 65; 153
400
The formula for the area of a parallelogram is A=bh. If the base (b) measures 35 inches, and the altitude is 27 inches, what is the area of the parellologram?
945 sq. in.
400
Solve the proportion.
8
400
To estimate the number of people in Springfield, population 10,000, who have a swimming pool in their backyard, 250 people were interviewed. Of those polled, 119 had a swimming pool. How many people in the city might one expect to have a swimming pool? (Round to the nearest whole number, if necessary.)
*Hint - Use a proportion to help you solve.
4,760 people
500
Casey has a small business making dessert baskets. She estimates that her fixed weekly costs for rent, electricity, and salaries are $200. The ingredients for one dessert basket cost $2.50. Casey’s total costs for last week were $500. How many dessert baskets did she make?
120
500
After a gas-filled balloon is released, it rises 90 feet by the end of the first minute. By the end of the second minute, the balloon rises 120 feet, and by the end of the third minute, it rises 150 feet. How many feet would the balloon rise in 8 minutes?
300
500
Determine the correct equation for the following verbal sentence:
The total monthly earnings, t, equals $18 times the number of hours worked, h.
t = 18h
500
Name an equivalent ratio for 
with a denominator of 20.
10/20
500
Your high school freshman class consists of 760 students. In recent years, only 4 out of 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years?
434 students