Ratios and Proportions
The Number System
Expressions and Equations
Geometry
Statistics and Probability
100
A recipe call for using 3/4 cup of brown sugar for each 2/3 cup of white sugar. How many cups of brown sugar are used per cup of white sugar?
1 and 1/8 cups of brown sugar per cup of white sugar.
100
Maria is thinking of three numbers, a, b, and c.
b - a = c and c < 0
Create a number line that could represent the numbers, a, b, and c.
Check students' work
100
A bowling alley charges x dollars per guest and a fixed rental fee of $50 for parties. Write an expression to represent the total cost for 9 guests.
9x + $50
100
What value of x makes the polygons similar?
What is 9.375?
100
A local television station asked viewers to call and share their opinions of the city council. Is it biased or unbiased? Random, not random?
What is biased?
Biased because it is only asking viewers.
not random
200
Lauren bikes one and one third miles in one-tenth of an hour. What is her rate of speed in miles per hour?
Her rate of speed is 13 and 1/3 miles per hour.
200
x + (-19) = 0
What is the value of x?
X = 19
200
Write an expression equivalent to the one given below.
5x - (8x + 9) + 4.5x
1.5x - 9
200
These two parallelograms are similar. What is the value of x? 
What is 3?
200
Hector went to the mall to do a survey for one hour. He asked everyone who walked in a few questions. Which type of sample did Hector use? Biased or unbiased? random or not random?
Unbiased, not random because he asked everyone.
300
On mountainous terrain, a semi-truck travels 2 and 2/3 miles on 1/2 gallon of fuel. How many miles can the truck travel per gallon of fuel. Use a drawing.
The truck travel 5 and 1/3 miles per gallon of fuel.
300
One apple costs $0.55 at the grocery store. Customers receive one free apple for every 8 apples that they buy. Anna paid a total of $8. 80 for her apples. How many free apples did Anna receive?
Anna received two free apples.
300
write an expression equivalent to the one given below.
4(7 - 1/8x)
28 - 1/2X
300
The diagram shows a front view of an "A-frame" house. Which length, in feet, represents x?
What is 10?
300
Jake went to the mall to conduct a survey. He asked everyone, as they entered, the survey questions. what is biased or unbiased? random or not random?
unbiased because he did not select specific people from the population (shoppers). Not random because he asked everyone.
400
Oliver reads 28 and 1/2 pages of a book in 1 and 1/6 hours. Express his reading speed in pages per hour.
His reading speed is 26 and 3/7 pages per hour.
400
What is the difference?
- 66 - (5) =
-71
400
Factoring
(–9n + 12)
3(-3n + 4)
or
3(4 - 3n)
400
What value of x makes the polygons similar?
What is 2.4?
400
Bob wanted to find out who would vote in the next election. He selected every third name from the phone book for the survey. What could be a limitation of this type of survey?
What is-- he might not be able to get to everyone in the phone book.
500
Renting an office costs $486 per month. The office has an area of 200 and 1/2 square feet. What is the monthly cost per square foot to rent the office?
The monthly cost is $2.42 per square foot to rent the office.
500
Miguel is building a shelf for his wall. The length of the wall is 11 feet 3 inches. The shelf will be built on the center of the wall, and the length of the shelf will be 1/3 the length of the wall. What is the distance, in inches, from the edge of the wall to the edge of the shelf? (hint: 1ft = 12in)
The distance in inches from the edge of the wall to the edge of the shelf is 45 inches.
500
Write an equivalent expression to the expression below:
x - 2(4 + x) + 10
2 - x
or
-x + 2
500
Given that the two triangles are similar, what is the length, x, of the missing side? 
What is 10?
500
In which situation would it make more sense to gather information from a sample rather than from an entire population?
A. when determining the number of people who are coming to your birthday party
B. when determining the number of people in your family who are going to your grandparents' house
c. when determining the number of people who want hot dogs at your cookout
D. when determining the number of people who listen to the rock radio station
What is D?
when determining the number of people who listen to the rock radio station