AAHS M6S1L1 3 teacher graded assignment PROJECTGUIDE
Assignment: Solve Inequalities with Multiplication and Division
Choose any three (3) of the following five problems to solve.
1. Players from the local Little League plans to hold a car wash as a fundraiser. If they charge
$5 per car, how many cars do they need to wash to earn at least $250 dollars?
a. Write an inequality to represent this situation, using x to represent the number of cars the players need to wash.
5x ≥ 250
b. Solve the inequality by isolating the variable. Show all work leading to your answer.
5x ≥ 250 x ≥ (250/5) x ≥ 50
c.
Graph the solution on the number line. Be sure to include number labels to show the values of x on the number line.
50--------------->100 ( closed circle)
d. Write 1-2 sentences to explain what the solution to the inequality represents for this situation. it represents how many cars they need to wash to earn at least $250
2. Manuel plans to withdraw a certain amount of money each month from his savings account to make payments on a bicycle. For how many months should he withdraw $10 from his savings account, if he wants to withdraw at most $100?
a. Write an inequality to represent this situation, using x to represent the number of months that Manuel needs to withdraw money from his account.
10x ≤ 100
b. Solve the inequality by isolating the variable. Show all work leading to your answer.
10x ≤ 100 x ≤ (100/10) x ≤ 10
© K12 Inc.
c.
Graph the solution on the number line. Be sure to include number labels to show the values of x on the number line.
-12<----------------------------------10 (closed circle)
d. Write 1-2 sentences to explain what the solution to the inequality represents for this situation. it represent the how many months he should withdraw $10 bucks to save up to $100
3. In a city council election, 2,445 votes were cast for one of the candidates. If the candidate received at least one-third of the votes, how many voters voted in the election?
a. Write an inequality to represent this situation, using x
Choose any three (3) of the following five problems to solve.
1. Players from the local Little League plans to hold a car wash as a fundraiser. If they charge
$5 per car, how many cars do they need to wash to earn at least $250 dollars?
a. Write an inequality to represent this situation, using x to represent the number of cars the players need to wash.
5x ≥ 250
b. Solve the inequality by isolating the variable. Show all work leading to your answer.
5x ≥ 250 x ≥ (250/5) x ≥ 50
c.
Graph the solution on the number line. Be sure to include number labels to show the values of x on the number line.
50--------------->100 ( closed circle)
d. Write 1-2 sentences to explain what the solution to the inequality represents for this situation. it represents how many cars they need to wash to earn at least $250
2. Manuel plans to withdraw a certain amount of money each month from his savings account to make payments on a bicycle. For how many months should he withdraw $10 from his savings account, if he wants to withdraw at most $100?
a. Write an inequality to represent this situation, using x to represent the number of months that Manuel needs to withdraw money from his account.
10x ≤ 100
b. Solve the inequality by isolating the variable. Show all work leading to your answer.
10x ≤ 100 x ≤ (100/10) x ≤ 10
© K12 Inc.
c.
Graph the solution on the number line. Be sure to include number labels to show the values of x on the number line.
-12<----------------------------------10 (closed circle)
d. Write 1-2 sentences to explain what the solution to the inequality represents for this situation. it represent the how many months he should withdraw $10 bucks to save up to $100
3. In a city council election, 2,445 votes were cast for one of the candidates. If the candidate received at least one-third of the votes, how many voters voted in the election?
a. Write an inequality to represent this situation, using x