Alg Day 3 Solving Inequality Word Problems

Open Ended

Brain Teaser

Four cars come to a four-way stop, all coming from a different direction. They can’t decide who got there first, so they all go forward at the same time. They do not crash into each other, but all four cars go. How is this possible?

Let's review previous class knowledge

Multiple Choice

Solve: x + 3 < − 5

• x < − 2

• x < − 8

• x > − 8

• x > − 2

Multiple Choice

-2(x + 2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

Multiple Choice

-3 − 6(4x + 6) > -111

• x > 3

• x < 3

• x < -3

• x > -3

Multiple Choice

Which of the following inequalities matches the given graph?

• x ≥ -1
• x ≤ -1
• x > -1
• x < -1

Multiple Choice

What is the graph of the linear inequality:

Hint: write equation in point slope form.

$$4x-3y>0$$  

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

Which of the following is not a solution to this system of inequalities?

• (0,-1)
• (0,3)
• (4,0)
• (6,-2)

Multiple Choice

Is (0,0) a solution to the system?

• Solution
• Not a solution

Multiple Choice

A parking garage charges $4.50 for each hour you park.  You have $18 in your pocket.  How many hours can you park?

• x > 4

• x < 4

• x ≤ 4

• x ≥ 4

Multiple Choice

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

Which inequality below can be used to determine how many cars she has to wash to have enough money?

• 14x + 30 ≥ 240

• 14x + 30 ≤ 240

• 30x + 14 ≥ 240

• 30x + 14 ≤ 240

Multiple Choice

Sam earns a weekly salary of $300. He also earns a commission of 4% on all of his sales. Which inequality below can be used to determine dollar amount of sales he must make to have a total weekly pay of at least $550?

Note: don't forget to convert the percentage to a decimal.

• 0.04x + 300 ≥ 550

• 0.04x + 300 ≤ 550

• 4x + 300 ≥ 550

• 4x + 300 ≤ 550

Multiple Choice

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500

• 30x + 600 ≥ 1,500

• 30x + 600 < 1,500

• 30x + 600 < 1,500