Do Now 1)Solve to calculate the year of the first Super Bowl. January 15 (85 – 70) )The Green Bay Packers or the Seattle Seahawks won the first two Super Bowl titles. Solve each expression. The winning team has an answer of 45. ( – 1 3 ) – 4 2

2/3/ G Solving 2-Step Inequalities

2- Step Inequalities Involve 2 operations Solving using S/A D/M E P

The Goal of Solving Inequalities… to get the variable by itself on one side of the inequality sign

Think of this inequality as a balanced scale. Whatever you do to one side has to be done to the other to keep it balanced! raggedclothcafe.com

Example 1 Solve 6n + 7 ≥ 31. Graph the solution on a number line. 6n + 7 ≥ 31 – 7 – 7 6n ≥ 24 n ≥ 4

Example 2 Solve 4x – 6 < 22. Graph the solution on a number line. 4x – 6 < x < 28 x < 7

Example 3 Eric has no more than $70 to spend on guitar lessons. He has already paid $14 for picks and sheet music. The lessons cost $7 each. Write and solve an inequality to find the maximum number of lessons Eric can take.

Example 3 7g + 14 ≤ 70 g≤ 8 Eric can take a maximum of 8 lessons. – 14 – 14 7g≤ 56

Example 4 Obedience training for dogs costs $400 plus $125 per week for food and lodging. How many weeks can a dog stay if its owner wants to pay no more than $900 for the entire stay? 125g ≤ g ≤ weeks

Example 5 28 is less than 12 more than 8 times a number. 8n + 12 > n ≤

4 Ryan wants his account balance to be at least $2,000 in a year. He plans on making equal monthly deposits for each of the next 12 months. Write an inequality that can be used to solve the minimum amount of $ Ryan will need to save each month

Homework Pg. 414 #1-28 Evens Study Quiz is tomorrow!