Integers
The temperature outside is -5° F. Give the additive inverse of this temperature.
5° F
What is the value of the expression below?
2/7 + (-3/4) + (-2/7) + 4/3
7/12
What is the sum of (7x - 6y) and (x + y)?
8x -5y
Solve for x.
78.2 + 0.5x = 287
417.6
Makadence reads 2/15 of his novel in 20 minutes. If he reads at this same rate, what portion of his novel will he have read in 1 hour?
6/15
A scuba diver dives down 15 feet into the ocean. He then swims 8 feet back up towards the surface. What is the position of the scuba diver relative to the surface?
-7 feet under the surface
Kayleigh's monthly bank statement showed the following deposits and withdrawals:
-$14.10 $41.50 -$11.03 -$7.25 $83.22
If she started with $56.75 at the beginning of the month, what was her balance at the end of the month?
$149.09
Simplify (6x - 5) - (3x-2)
3x - 3
Solve for y.
2/3 (y + 57) = 178
210
Sophia bought 1 3/5 pounds of peaches for $0.60 and 3 1/2 pounds of apples for $1.75. Which fruit costs more per pound? (give unit rates for both fruits)
Peaches = $0.38 per pound
Apples = $0.50 per pound
Apples cost more.
The top of the utility pole is 14 feet high. The base is at -2 feet. What is the length of the utility pole?
16 feet
What is 2/11 as a decimal?
0.18181818....
McKaylen has an unknown quantity of money (m). Landon has $50 more than McKaylen. Write an expression that represents the total amount of money that McKaylen and Landon have. (simplified)
2m + 50
Vivian paid for a repairman d dollars per hour for a 4-hour job plus $60 for parts. The total charge was $320. Write and solve an equation to determine how much the electrician charged per hour.
4d + 60 = 320
d = $65
To make purple paint, Aven mixed 2/5 cup of red paint with 5/8 cup blue paint. She wants to make a larger batch of paint. How much red paint is needed to mix with 1 cup of blue paint?
16/25 cup
For one day, Ashton recorded the low temperatures in five U.S. cities. The temperatures were 5°C, -5°C, -5.5° C, 0.05°C, and -0.55° C. Write the temperatures in order from least to greatest.
-5.5° C, -5° C, -0.55° C, 0.05° C, 5° C
What is 3 1/2 + (-6) - (-1 1/2 -9 3/4) simplified?
8 3/4
Sarah has a coupon that will reduce her grocery bill by 8%. If c represents the cost of Sarah's groceries, write an expression that represents Sarah's grocery bill.
0.92c
Ainsley wants to keep her cell phone bill under $60 a month. Her current cell phone plan is $30 per month plus $0.05 per text. Write an inequality to represent the number of texts (t), Ainsley can send each month while staying within her budget.
$0.05t + 30 ≤ 60
In Mr. Vaske's class of 45 students, 8 out of 10 earned an A. How many students got an A?
36
In chemistry, an ion is an atom that has either gained or lost electric charge. A magnesium ion has a total charge of +2 and a chloride ion has a total charge of -1. How many chloride ions need to combine with six magnesium ions so that the charge is 0?
12 chloride ions
Mr. Matthews has a piece of wood that is 11 5/8 inches wide. He plans to split the width into 3 equal pieces. How wide will each piece be?
3 7/8 inches
What is the simplified expression of;
8(x+3) - 1/4 (20x -56)
3x + 38
Khloe went to a theme park with $25 to spend. She spent $5.25 on food and paid $4.00 for each ride. What was the greatest number of rides Khloe could have rode?
4 rides
Four out of five dentists recommend a certain brand of toothpaste. If 330 dentists were surveyed, how many recommended the certain toothpaste?
264