Number Systems
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?
A) -21 B) -20 C) 0 D)20
D) 20
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
An expression is shown below.
5z + (9 ÷ 3)
What is the coefficient of the variable in this expression?
5
What is the formula of area of a triangle?
A = (bh)/2 or 1/2(bh)
A carton contains 4 and one-half cups of ice cream. One full serving is three-fourths cup. What is the total number of full servings of ice cream in the carton?
6 servings
What is the greatest common factor of 72 and 96?
24
There are 104 calories in an 8-ounce serving of soda. How many calories are in 1 ounce of soda?
13 calories are in 1 ounce of soda
What is the value of the expression 4(3 + 5^2) − 6?
106
A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4 cm and a height of 5 cm. What is the total area, in square centimeters, of the shape?
120 square cm
A school club includes students from four grade levels.The number of students from each grade level is shown in the list below.
• 12 students from Grade 5
• 6 students from Grade 6
• 2 students from Grade 7
• 8 students from Grade 8
What is the ratio of the total number of students in the club from Grades 5 and 6 to the total number of students in the club from Grades 7 and 8 ?
(A) 2 : 1
(B) 3 : 1
(C) 5 : 9
(D) 9 : 5
(D) 9 : 5
Ralph has 3/4 gallon of paint. He wants to store all of the paint equally among 5 containers. How much paint, in gallons, will Ralph store in each container?
3/20
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
Which expression represents the phrase “the sum of fifteen and five less than twice a number, n” ?
(A) 15(5 − 2n)
(B) 15(2n − 5)
(C) 15 + (5 − 2n)
(D) 15 + (2n − 5)
(D) 15 + (2n − 5)
Three vertices of a rectangle are located at (2,4), (−2,−5), and (−2,4) on a coordinate plane. What are the coordinates of the fourth vertex of the rectangle?
(A) (2,5)
(B) (2,−5)
(C) (5,2)
(D) (−5,−2)
(B) (2,−5)
Tristan is comparing two number patterns based on the information below.
• Both patterns start with the number 1.
• Pattern A follows the rule “add 3”.
• Pattern B follows the rule “add 4”.
How do each of the first 5 terms in Pattern A compare to the first 5 terms in Pattern B ? As part of your answer, list the first 5 terms of each pattern.
Pattern A: 1, 4, 7, 10, 13
Pattern B: 1, 5, 9, 13, 17
The difference between each term goes up by one. Ex (1-1=0), (5-4=1), (9-7=2) . . .
A coordinate plane can be used to show the distance, in units, between two locations. The location of Jack’s house and a store are listed below.
• Jack’s house is located at (-7,-8).
• The store is located at (-7,4).
What is the distance, in units, between Jack’s house and the store?
12 units
The list below shows the cost of the same candle at two different stores.
• Store ABC sells 6 of these candles for $12.00.
• Store XYZ sells 8 of these candles for $14.00.
Which store sells the candle for a lower unit rate?
Store XYZ sells 1 candle for $1.75
Which value of x makes the equation true?
4x − 8 = 4
3
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
An office supply store sells boxes of pencils. Each box contains 160 pencils. Write an equation that represents the total number of pencils, y, in x boxes.
160 x =y
A student claims that 4 is the greatest common factor of 24 and 40, because the two numbers are both multiples of 4. Is the student’s claim correct?
No, the student’s claim is incorrect because 4 is not the greatest common factor. The greatest common factor of 24 and 40 is 8.
Ryan delivers flowers to two customers. He drives for 12 minutes at an average speed of 40 miles per hour to reach his first customer. He then drives for 15 minutes at an average speed of 50 miles per hour to reach his second customer. During the 27 minutes of driving time, how many total miles does Ryan drive?
20.5 miles
Matt earns $9.00 for completing 2 chores. How much will Matt earn after completing 7 chores?
$31.50
A rectangular prism has a length of 3in, width of 4in and height of 5in. What is the surface area of the rectangular prism?
94 square inches
Mary rides her bike at an average speed of 12 miles in 1 hour. Riding at this rate, how many feet does Mary ride in 1 minute?
1,056 feet