Unit 7, Lesson 9
Solutions of Inequalities
Grade 6
Practice
Problem 1
-
Select all numbers that are solutions to the inequality \(k > 5\).
4
5
6
5.2
5.01
0.5
- Draw a number line to represent this inequality.
to access Practice Problem Solutions.
Problem 2
A sign on the road says, “Speed limit: 60 miles per hour.”
- Let \(s\) be the speed of a car. Write an inequality that matches the information on the sign.
- Draw a number line to represent the solutions to the inequality.
- Could 60 be a value of \(s\)? Explain your reasoning.
to access Practice Problem Solutions.
Problem 3
One day in Boston, MA, the high temperature was 60 degrees Fahrenheit, and the low temperature was 52 degrees.
- Write one or more inequalities to describe the temperatures \(T\) that are between the high and low temperature on that day.
- Show the possible temperatures on a number line.
to access Practice Problem Solutions.
Select all the true statements.
\(\text-5 < |\text-5|\)
\(|\text-6| < \text-5\)
\(|\text-6| < 3\)
\(4 < |\text-7|\)
Problem 5
Match each equation to its solution.
- \(x^4=81\)
- \(x^2=100\)
- \(x^3=64\)
- \(x^5=32\)
Problem 6
-
The price of a toaster oven is usually \$25. Elena’s dad buys one of these toaster ovens for \$15. What percentage of the usual price did he pay?
-
Elena’s mom sees another type of toaster oven that also usually sells for \$25. It is on sale for 75% of the usual price. How much would she pay?
to access Practice Problem Solutions.