Fractions
What is 3/4÷ 1/2?
1 1/2
Calculate 2,856÷ 24.
119
The temperature is 7 degrees below zero. Represent the temperature with an integer.
−7
In which quadrant is the point (−4,5)?
Quadrant II
Use the distributive property to rewrite 5(x+3).
5x+15
A 6-foot ribbon is cut into pieces that are each 3/4 foot long. How many pieces can be made?
8 pieces
Calculate 14.75+ 8.6 - 3.25.
20.10 or 20.1
Which number is farther to the left on a number line: −3 or −8?
−8
Give the coordinates of the reflection of (3,−7) across the x-axis.
(3,7)
Evaluate 24 + 6.
22
Mia has 2 1/4 pounds of candy. She puts 3/8 pound into each bag. How many bags can she fill?
6 bags
A shopper buys three items costing $12.75, $8.49, and $6.95. She pays with $40. How much change should she receive?
$11.81
Which is greater: −12 or −5? Explain.
−5, because it lies farther to the right on the number line.
Points A(−2,4) and B(2,4) differ in which coordinate?
Their x-coordinates.
Evaluate 4x+3y when x=5 and y=2.
26
What is 2/3 ÷ 4/5?
5/6
Find the GCF of 48 and 72.
24
What is |-18|, and what does absolute value represent?
18; the distance from 0.
Find the distance between (−3,2) and (5,2).
8 units
Write an expression for 8 less than three times a number n.
3n−8
A container holds 4 1/2 liters of juice. Each pitcher holds 3/5 liter. How many full pitchers can be filled, and how much juice remains?
7 full pitchers; 3/10 liter remains.
The school has 36 red markers and 48 blue markers. The teacher wants to create the greatest possible number of identical sets without any markers left over. How many sets can she make, and how many of each color will be in each set?
12 sets; 3 red and 4 blue per set.
A submarine is 18 feet below sea level. It rises 7 feet and then descends 12 feet. What is its final position relative to sea level?
−23 feet, or 23 feet below sea level.
A park is located at (−4,−2), and a school is at (−4,6). What is the distance between the locations?
8 units
Student A says 5(2x+4) is equivalent to 10x+4. Student B says it is equivalent to 10x+20. Explain.
Student B. The 5 must be distributed to both terms: 5(2x) +5(4)-10x+20.