Operations with Rational Numbers
True of False.
-25 - 50 = 25
False. It is -75! when you see two negative signs add them and your final answer will be negative
Kimberly scored 18 out of 20 points on her math test. What is her percent correct?
90%
Mike cut a 42-inch wire into 8 equal pieces. What was the length of each piece?
5.25 inches
If p = 16, which equation is true?
A. 2(20 -p) = 24
B. 2(p -6) = 20
C. 3(p -19) = 9
D. 3(12 -p) = 12
B. 2(p-6) = 20
Each member of a cross-country team runs 6.2 miles each day at practice. The team has 5 seventh-grade members. What is the total number of miles the 5 seventh-grade members will run in 18 practices?
558 miles
Last month, Brandon rode his bike 56.28 miles and Randy rode his bike 47.93 miles. How much further did Brandon ride his bike last month than Randy?
8.35 miles
The cost of a jacket was reduced from $80 to $55. By what percentage was the price of the jacket reduced?
31.25%
Lisa spent $20 on 8 bags of candy.What was the cost of each bag of candy?
$2.50
-16 + 5w = -1
w = 3
Megan ordered a cheeseburger for $2.15, fries for $1.89, and a soda for $0.79. She paid with a $5 bill. How much change should she get?
$0.17
Amanda worked for 7 3/4 hours at her job yesterday. She earns $9.45 per hour.How much did Amanda earn yesterday?
$73.24
A store purchased record players for $12 each, then marked their price up to $21 before selling them to customers. What is the percent of mark-up?
75%
Mindy can drive a total of 375 miles on one full tank of gas, which is 25 gallons. Based on this information, what is the constant of proportionality?
15
46.28 = 3.28 + 8a
5.375
There are 896 students in 28 classes at Maddison Middle School. Each class has the same number of students. How many students are there in 10 classes?
320 Students
Ryan has 9 2/5 bags of soil to fill his garden and plant potted plants around his home. He used 6 1/4 bags in his garden and 2 3/10 bags on potted plants. How much soil does Ryan have left?
17/20
If Melissa spends a total of $3000 on her bills, with $1500 going towards her rent. What percent of Melissa's bills is used to pay for rent?
Scott bought 6 pounds of bananas at a cost of $0.78 per pound. He paid a total of $4.68 for the bananas. In this scenario, what is the constant of proportionality?
$0.78 per pound
Bobby gets paid $25 for each new customer he gets to sign up for a cell-phone line. He also makes a $60 for each shift he works at the store. Write an equation that represents y the total amount of money Bobby earns during a shift if he sells x phones.
Susan ordered 2 cheeseburgers for $2.15 each, fries for $1.89, and a soda for $0.79. The sales tax for the order was $0.53. She paid with a $20 bill. How much change should she get back?
$12.49
A bakery received 2 shipments of sugar, each weighing 22.56 pounds. If the manager divided all the sugar equally among 24 canisters, how many pounds of sugar did the manager put in each one?
1.88 pounds in each container
During December an electronics store saw a 27% increase in video game sales. If the store sold an average of $47,300 in video games during every other month. How much more money did it earn in December for video game sales?
$12,771
There are approximately 2.6 miles in 4 kilometer. Mary’s house is 11,440 yards from her school. Approximately how many Kilometers is Mary’s house from the school?
(*Hint: there are 1760 yards in a mile)
10 Km
Write an equation to represent this description. --> A boarding Kennel charges a $50 boarding fee, plus $25 each day the pet stays at the kennel.
y = 25x + 50
Bill and Alan each have a rectangular porch with an area of 8 1/8 sq yards. Bill's porch is 6 1/2 yards long, and Alan's porch is 3 1/4 yards long. What is the difference between the widths of the two porches?
(Hint: draw a picture to help you)
1 1/4 yd