CCSS Content Standards A.CED.1 Create equations and inequalities in one variable and use them to solve problems. A.REI.3 Solve linear equations and inequalities.
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Content Standards
A.CED.1 Create equations and inequalities in one variable and use them to solve problems.
A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
• Solve linear inequalities involving more than one operation.
• Solve linear inequalities involving the Distributive Property.
Inequality Involving a Negative Coefficient
Solve 13 – 11d ≥ 79.
Answer: The solution set is {d | d ≤ –6} .
13 – 11d ≥ 79 Original inequality
13 – 11d – 13 ≥ 79 – 13 Subtract 13 from each side.
–11d ≥ 66 Simplify.
Divide each side by –11 and change ≥ to ≤.
d ≤ –6 Simplify.
Solve –8y + 3 > –5.
Write and Solve an Inequality
Define a variable, write an inequality, and solve the problem below.
Four times a number plus twelve is less than the number minus three.
a number minus three.is less thantwelveplus
Four times a number
n – 3<12+4n
Write and Solve an Inequality
4n + 12 < n – 3 Original inequality
Answer: The solution set is {n | n < –5} .
n < –5 Simplify.
Divide each side by 3.
4n + 12 – n < n – 3 – n Subtract n from each side.
3n + 12 < –3 Simplify.
3n + 12 – 12 < –3 – 12 Subtract 12 from each side.
3n < –15 Simplify.
Write an inequality for the sentence below. Then solve the inequality.6 times a number is greater than 4 times the number minus 2.
• Do p. 300-301 3 – 6 all, 7, 23
Solve a Multi-Step Inequality
FAXES Adriana has a budget of $115 for faxes. The fax service she uses charges $25 to activate an account and $0.08 per page to send faxes. How many pages can Adriana fax and stay within her budget? Write an inequality, then solve.
Original inequality
Subtract 25 from each side.
Divide each side by 0.08.
Simplify.
Answer: Adriana can send at most 1125 faxes.
Rob has a budget of $425 for senior pictures. The cost for a basic package and sitting fee is $200. He wants to buy extra wallet-size pictures for his friends that cost $4.50 each. How many wallet-size pictures can he order and stay within his budget? Write an inequality, then solve.