Operations with Decimals
Fractions and Factoring
Miscellaneous
Integers and PEMDAS
Ratios
100
Solve:
30.18 + 740.683
770.863
100
5/9
100
Find the area and perimeter of each shape:
Area of Triangle: 12cm2
Perimeter of Triangle: 18cm
Area of Trapezoid: 24km2
Perimeter of Trapezoid: 26km
100
a) What is the definition of absolute value?
b) What is |–22|?
c) True or False: absolute value is alway positive
a) The distance between a number and zero on a number line
b) 22
c) True
100
Alexandra is on a road trip. She traveled at a constant speed of 68 miles per hour for a total of 4.36 hours. How far did she travel?
296.48 miles
200
Solve:
202.7 / 2.5
81.08
200
A box of cereal contains 24 cups. Each serving of cereal measures 4/5 of a cup. How many servings are in the box of cereal?
30 servings.
200
a) Find the mean (average), median, mode, and range of the data set.
b) Which of the following is a statistical question? Explain why.
Q1: How many hours per day do sixth graders spend online?
Q2: How tall is the Empire State Building?
a) Mean: 5.8
Median: 5.5
Mode: 5
Range: 4
b) Q1 is a statistical question, because to answer it requires the collection of data from multiple sources, and the data is expected to vary. The height of the Empire State Building is something that can be specifically measured, and can be looked up from one source.
200
What is the definition of an integer? Give three examples.
Integers are positive or negative whole numbers, including zero.
200
Jessica is shopping for a new car. She found a blue car that has a 12-gallon gas tank and can go 384 miles on one tank. She found a silver car that has a 14-gallon gas tank and can go 504 miles on one tank. Which car gets better gas mileage?
Silver.
300
A maple tree grew 11.09 inches in one year. A pine tree grew 19.927 inches in the same year. What is the difference in growth between the two trees? Round your answer to the nearest hundredth.
8.84 inches
300
a) Factor 54 + 30 using the distributive property.
b) Simplify the expression using the distributive property: 2(5 + 6d)
a) 6(9 + 5)
b) 10 + 12d
300
Solve for each variable:
g/3 = 4
5x =30
17 = n − 7
g = 12
x = 6
n = 24
300
When reflecting an ordered pair over the x-axis, what coordinate stays the same?
The x-coordinate stays the same.
300
John is making hot chocolate by mixing cocoa powder and milk in a ratio of 3:10. He used 35 more ounces of milk than he did cocoa powder. How many ounces of cocoa powder did he use? Draw a tape diagram to help solve.
15 ounces of cocoa powder.
400
Solve:
9.4 x 12.8
120.32
400
Rosalie is making brownies. There is 2 1/6 of a pound of flour left in the cupboard. Each batch of brownies requires 1/3 of a pound of flour. She wants to deliver a full batch of brownies to each of her friends.
1) How many friends will receive brownies?
6 friends.
400
Write 3/5 as a decimal.
Write 3/5 as a percent.
0.6
60%
400
Solve according to PEMDAS:
34 - (2 + (10 - 4 ))2 + 2 x 7
31
400
A student finished 18 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 6 : 1, how many homework problems did she have total?
21 total problems
500
13 people will equally divide up 740.5 acres of property. To the nearest hundredth, how many acres will each person receive?
Each person will receive 56.96 acres
500
1 25/43
500
Simplify by combining like terms:
7d + d – 3d
5d
500
It was a chilly night at Silver Lake. When the sun set, the temperature fell 9°F.
a) What integer represents the change in the temperature at Silver Lake?
b) What is the opposite of that integer?
c) What is the absolute value of that integer?
a) -9
b) 9
c) 9
500
Kendra wants to buy an iced tea at the movie theater. A small cup is 12 ounces and costs $1.68. A medium cup is 16 ounces and costs $2.40. Which size is the better deal?
Small.