8.3 Writing Two-Step Inequalities

Front

Three friends earned more than $200 washing cars. They paid their parents $28 for supplies and divided the rest of money equally. Write an inequality to find possible amounts each friend earned.

Back

3a + 28 > 200

Front

Nick has $7.00. Bagels cost $0.75 each, and a small container of cream cheese costs $1.29. Write an inequality to find the numbers of bagels Nick can buy. Identify what your variable represents.

Back

0.75n + 1.29 < 7.00; n = the number of bagels Nick can buy

Front

Chet needs to buy 4 work shirts, all costing the same amount. The total cost before Chet applies a $25 gift certificate can be no more than $75. Write an inequality to find the possible amounts that Chet pays per shirt.

Back

25 + 4a <75; a = the maximum amount each shirt can cost

Front

Inequality for ground-floor seating if balcony is full: 120 + 32n < 720. What does 'n' represent?

Back

n = the number of people in each row

Front

Liz earns a salary of $2,100 per month, plus a commission of 5% of her sales. She wants to earn at least $2,400 this month. Write an inequality to find amounts of sales that will meet her goal.

Back

2,100 + 0.05s > 2,400; s = the amount of her sales

Front

Inequality for Lincoln Middle School's food drive: 668 cans collected, 7 days left to collect more than 2,000 cans. What does 'n' represent?

Back

668 + 7n > 2,000; n = the average number of cans each day

Front

Joanna joins a CD club. She pays $7 per month plus $10 for each CD that she orders. Write an inequality to find how many CDs she can purchase in a month if she spends no more than $100.

Back

7 + 10c <100; c = the number of CDs she buys

Front

Lionel wants to buy a belt that costs $22 and shirts that are on sale for $17 each. He has $80. What inequality can you write to find the number of shirts he can buy?

Back

22 + 17n ≤ 80; n = the number of shirts he can buy