Integers
Subtract the integers
(-56) - 72 + 416
288
True or False?
x=1x
true
Mr Demo has 5 yellow marbles, 3 green marbles, and 10 clear marbles. What is the ratio of clear marbles to total marbles written as a fraction? Write the fraction/ratio in simplest form.
5/9
Karina can run 1/8 mile in 1.5 minutes. If she can maintain that pace, how long will it take her to run 1 mile.
12 minutes
A grocery store marks up meat 20%. The original price was $35. What is the retail price to purchase the meat now?
$42
A ferris wheel is 56 feet in diameter. How far will Candy travel in one revolution of the ferris wheel? Use 3.14 for pi.
Approximately 176 ft
A scuba diver started at sea level and dove 100 feet. The diver then rose 25 feet. The expression that shows the diver's current elevation relative to sea level is
a. -100+25
b. 25+100
a. -100+25
What is the value of x?
8x + 6x + 6 = 90
6
When Dayani walks 2 dogs, she gets $7. When she walks 4 dogs, she earns $14. If she walks 6 dogs, she gets $21. What is the unit rate of dollars earned per dog walked?
a. $7
b. 3.5
b) 3.5
Find the unit rate.
$49.50 for 5.5 hours
$9 per hour
Five years ago, an average model 70" TV cost about $2,400. Now a similar TV costs approximately $1,600. What is the percent decrease in TV price?
a. 70%
b. 30%
b) 30%
At a park, the jogging trail is a circle with a radius of 200 meters. How far is it around the trail? Use 3.14 for pi.
approximately1,256 meters
Greysi climbed 230 feet up a hill and then rappelled down 300 feet into a valley. Determine how far Greysi is from where she started.
a. 70 feet
b. -70 feet
b. -70 feet
What is the value of x?
(3x + 5) + (2x + 5) = 90
16
Byron washed 4 windows and earned $48. He washed 5 windows and earned $55. Then he washed 8 windows and earned $64. Is this a proportional relationship?
no
Angel is in charge of ordering T-shirts for the next Braves Day. The coordinates show the relationship between the number of boxes he ordered (x) and the total number of T-shirts (y).
(1, 50)
(2, 100)
(3, 150)
What is the constant of proportionality?
50, for every 1 box there are 50 t-shirts
Lilian made $33,284 last year. She received a 4.5% annual raise. What will her new salary be for the coming year?
a. $34,781.78
b. $31,786.22
c. $36,612
a) $34,781.78
A circle's radius is 4 ft. What is the area to the nearest hundredth? Use 3.14 for pi.
50.24 squared feet
Add and Subtract integers
-3 + 66 + -93 + 10
-20
What is the value of x?
(x + 40) + (4x + 20) = 180
24
Esvin washed 3 windows and earned $36. He washed 6 windows and earned $72. Then he washed 7 windows and earned $84. Is this a proportional relationship?
yes
There are 12 people wearing Under Armour today and there are 14 people wearing Gap shirts. What is the ratio of people wearing Under Armour to those wearing Gap?
12:14 or 6:7
The butterfly population at Sequoyah Middle School was 250 last year. This year there are 100 butterflies. What is the percent increase or decrease?
a. 50% decrease
b. 50% increase
c. 60% decrease
d. 60% increase
c) 60% decrease
A mirror has a diameter of 15 inches. To the nearest hundredth, what is the area of the mirror? Use 3.14 for pi.
176.63 square feet
Multiply integers
(-3)(-21)(-8)
-504
Edwin hiked half a mile every fifteen minutes. Find the distance he hiked in an hour.
2 miles
A cheetah can run 6,400 ft. a minute. If a racecar can drive at this same speed, how many miles can it travel in 3 hours?
Hint: 5,280 feet in a mile
218.18 miles
A pair of shoes is on sale for 10% off and had a sale price of $76.50. What was the original retail price?
$85
Workers on a factory floor are painting one side of circular discs that will be placed on an assembly line. For every gallon of pain, a worker can paint an area that measures 1,256 square feet. If each disc has a radius of 2 feet, how many discs can they paint with one gallon of paint? Use 3.14 for pi.
100