Solving and Graphing Inequalities

Front

When do you flip an inequality symbol?

Back

When you multiply or divide by a negative number.

Front

Select the correct graph that represents the inequality. Options: A, B, C, D

Back

D

Front

Which of the following inequalities match the given graph? Options: y ≤ -3/4 x + 3, y ≥ -3/4 x + 3, y < -3/4 x + 3, y > -3/4 x + 3

Back

y ≥ -3/4 x + 3

Front

Select the correct graph for each inequality. Options: A, B, C, D

Back

A

Front

Nina is playing arcade games that take tokens. She can afford to buy no more than 26 tokens. Skee ball requires 1 token per game and pinball requires 2 tokens per game. What is the inequality in standard form that describes this situation? Use x for the number of skee ball games and y for the number of pinball games.

Back

x + 2y ≤ 26

Front

Inequality for buying x hot chips at $2.50 each and y sodas at $1.75 each without spending more than $20.

Back

2.5x + 1.75y ≤ 20

Front

The drama department has set a fundraising goal of at least $2,400 , which students will try to meet or exceed by selling two kinds of popcorn. There are profits of $3 for each container of caramel popcorn (x) and $1 for each container of chocolate-covered popcorn (y). Select the inequality that describes the situation. 

Back

Front

Fabiano wants to score more than 6.5 points in a major chess tournament. He scores 1 point for each game that he wins, and he scores 0.5 points for each game that ends in a draw. Write an inequality that represents the number of games Fabiano should win (w) and draw (d) to achieve his goal.

Back

w + 0.5d > 6.5

Front

You earn $8 per hour teaching basketball and $10 per hour teaching swimming. Let x represent the hours you teach basketball each week, and y represent the hours you teach swimming each week. Your goal is to earn at least $200 per week. Write an inequality to model this situation.

Back

8x + 10y ≥ 200

Front

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill. Write an inequality that represents this situation.

Back