Expressions & Equations
The Number System
Geometry
Ratios & Proportional Relationships
Random
100
7 × (5 − 3)3 − 20 ÷ 4 = ?
51
100
A box contains cups of cereal. One serving of cereal is
cup. How many servings of cereal are in the box?
11
100
A right triangle is shown below.
What is the area, in square feet, of the right triangle?
275 square feet
100
A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?
13 : 8
100
The number 60 is 75% of what number?
80
200
Which two expressions are equivalent?
- (A) x + x + x and x3
- (B) 14x + 10 − 2x and 16x + 10
- (C) 12x + 16x and 4(3x + 4x)
- (D) 12x2 + 5x + 10 and 17x2 + 10
12x + 16x = 4(3x + 4x)
200
A student claims that 4 is the greatest common factor of 24 and 40, because the two numbers are both multiples of 4. Why is this incorrect.
4 is a common factor, but not the greatest common factor. The GCF is 8
200
A diagram of Joe’s living room wall with a geometric design is shown. Joe painted the shaded triangle on the living room wall.
JOE'S LIVING ROOM WALL
What is the area, in square feet, of the shaded triangle that Joe painted?
48 square feet
200
There are 104 calories in an 8-ounce serving of soda. How many calories are in 1 ounce of soda?
13 calories
200
A tutoring company charges $25.00 per hour to tutor a student. How many hours of tutoring would cost $62.50?
2.5
300
A student claims that the expression 6 + 8x is equivalent to the expression 3(3 + 5x).
What is incorrect about the student’s claim? Be sure to include an equivalent expression to
3(3 + 5x) in your response.
The student added when she should have multiplied.
3(3 + 5x) = 9 + 45x
300
The outside temperature in a town is −20 degrees Fahrenheit. What change in temperature, in degrees Fahrenheit, would bring the outside temperature to 0 degrees Fahrenheit?
20 degrees.
300
The dimensions of a cereal box in the shape of a right rectangular prism are shown below.
inches by
inches by
inches
What is the volume, in cubic inches, of the cereal box?
486
300
An artist uses a ratio of 6 gallons of orange paint to 8 gallons of blue paint. If the artist uses 1 gallon of blue paint, how many gallons of orange paint will they use?
6/8 or 3/4 gallons of orange
300
What value of n makes the equation true?
136
400
Two students, Student A and Student B, claim to know the correct representation of the expression .
• Student A represents the expression as the product of 9 and y times the product of 3 and t.
• Student B represents the expression as the quotient of 9 and y times the sum of 3 and t.
Both students’ claims are incorrect. What makes each representation incorrect?
Student A is incorrect because 9/y is a division problem, not a multiplication, so it should be the "quotient of 9 and y"
Student B is incorrect because 3t is a multiplication problems, so it should be the "product of 3 and t"
400
The lowest recorded temperatures for each of two states are listed below.
-27°F and -35°F
Write a statement using <, >, ≤, or ≥ to compare the recorded temperatures of the two states.
-27 > -35
or
-35 < -27
400
A rectangle is graphed on a coordinate plane. The coordinates for two of the vertices of the rectangle are (-5,8) and (-5,-6). What is the distance between the two vertices?
14 units
400
There are red tiles and blue tiles in a box. The ratio of red tiles to blue tiles is 3 : 5. There are 12 more blue tiles than red tiles in the box. How many red tiles are in the box?
18 red tiles
400
Johnny is 21 years old. He is 3 times as old as Becky. Write and solve an equation to determine Becky’s age, a.
21 = 3a
a = 7
Becky is 7 years old.
500
Evaluate the expression shown below.
4
500
According to the National Climatic Data Center, the lowest recorded temperature in the state of New York is -52°F and the highest is 108°F. Graph these numbers on a number line to represent the range of temperatures in the state of New York.
500
What is the surface area, in square inches, of the rectangular prism formed by folding the net below?
2600
500
A machine produces chocolates at a constant rate. In 42 minutes, the machine produces 7 pounds of chocolates. How long, in minutes, will it take the machine to produce 9 pounds of chocolates?
54 minutes
500
Mike needs a ticket every time he rides the bus. Given the equation c = 2.75t, what is the
relationship between t, the number of tickets that Mike buys, and c, the total cost? Be sure
to identify which variable is independent and which variable is dependent in your answer.
Cost is the dependent variable
Tickets is the independent variable.
The total cost depends on how many tickets, each of which costs $2.75, Mike buys.