Equations & Inequalities
What is the solution to x + 13 = 20?
x = 7
This data set represents the number of children in 8 families.
4, 2, 1, 2, 4, 2, 6, 3
What is the median number of children?
The median is 2.5
William is filling a fish tank with water. The tank is shaped like a rectangular prism. The length of the prism is 12.5 inches. The width is 6.7 inches and the height is 4.5 inches. How many cubic inches of water will he need to fill the tank?
376.875 cubic inches of water
On Zach’s farm, they have 20 cows and 8 bulls. What is the ratio that represents bulls to cows?
8:20
Solve the following expression-
127.48 - 39.6
87.88
Which value of the data set make the inequality true?{2, 5, 7, 9}
2a - 3 > 10
7 and 9
The following are lengths (in inches) of cucumber grown in identical conditions for three months:
12, 11, 12, 14, 13, 9, 13, 11, 13
Tiffany said that the mean length for the 9 cucumbers is 108in. Does her average make sense? Why? If not, what mistake do you think she made?
No, Tiffany only found the total inches of cucumber growth. She did not divide the total by the amount of cucumbers. 108/9 = 12in (is the average)
What is the surface area of the triangular prism in Figure 1 (page 3 in your packet)?
84 cm squared
On a camping trip, there are 2 girls for every 3 boys. Create a table that shows the number of boys when there are 4 girls, 6 girls, 8 girls, and 10 girls.
Girls: 2, Boys: 3
Girls: 4, Boys: 6
Girls: 6, Boys: 9
Girls: 8, Boys:12
Girls: 10, Boys: 15
Plot the following ordered pair and identify the quadrant it is located in.
(-5, 2)
(-5, 2) is located in Q2
Edith must read for a minimum of 20 minutes. Write an inequality to represent the situation.
m ≥ 20
Twenty students were surveyed about the number of days they played outside in one week. The results of this survey are shown below.
{6, 5, 4, 5, 0, 7, 1, 5, 4, 4, 3, 2, 2, 3, 2, 4, 3, 4, 0, 7}
Complete the frequency table for the data.
0-1: (frequency) 3
2-3: (frequency) 6
4-5: (frequency) 8
6-7: (frequency) 3
What is the surface area of the pyramid in Figure 3 (page 3 in your packet)?
41.1825 cm squared
Nathan is a professional bicyclist. He is able to ride 5 miles in 20 minutes. He wants to break the record for riding 93 miles. The current record is 7 hours. He thinks he will be able to break the record. Do you agree or disagree with his claim? Explain.
Agree- Nathan will finish the race in 372 min (6 hours and 20 minutes).
Create an equivalent expression using the distributive property (factor).
45x - 54
9(5x - 6)
Ranger saves $70 each week. He needs to save at least $2,800 to go on a trip to Europe. Which statements below are true? Select all that apply.
a. He would need to save for at least 39 weeks to go on the trip
b. If he saved for 50 weeks, he would be able to go on the trip
c. You can represent this scenario with the inequality: 2,800 ≤ 70x
d. If he saves $2799.50, he can go on the trip
B and C
Twenty students were surveyed about the number of days they played outside in one week. The results of this survey are shown below.
{6, 5, 4, 5, 0, 7, 1, 5, 4, 4, 3, 2, 2, 3, 2, 4, 3, 4, 0, 7}
Create a histogram for the data.
0-1: 3
2-3: 6
4-5: 8
6-7: 3
What is the surface area of the triangular prism in Figure 2 (page 3 in your packet)?
130 cubed ft
Sarah answered 75% of the questions on a test correctly. If she answered 60 questions correctly, how many questions were on the test?
A fish swims at an altitude of −20.2 meters. A bird flies at an altitude of 38.1 meters.
Which animal is located at the greater altitude?
Which animal is closer to sea level?
Closer to Sea Level: Fish
A gym charges $25 per month plus $4 extra to swim in the pool for an hour. If a member only has $45 to spend each month, at most how many hours can the member swim?
4h + 25 ≤ 45
5 hours at most
Amanda surveyed 13 students in her class about their heights in inches. Her data are listed below.
52, 53, 55, 55, 56, 57, 58, 58, 59, 59, 59, 62, 65
Create a box plot that represents the data.
Minimum= 52
Q1= 55
Median= 58
Q3= 59
Max= 65
The length of a rectangular prism is 1 ½ times as long as the width. The height is ¼ of the length. The width is 2 cm. What is the volume?
4.5 cubic inches
Jill and Erika made 4 gallons of lemonade for their lemonade stand. If they charge $2.45 per quart, how much money will they make if they sell it all? (4 quarts = 1 gallon)
16 quarts would cost $39.20
Solve using long division
179.01 ÷ 1.7
105.3