modeling linear inequalities

How can we write and solve linear inequalities (day 2) ?

Multiple Choice

Do Now:

Solve.

-7 + 10z > -27

• z < -2

• z > -34

• 2 > z

• z > -2

Multiple Choice

Which inequality represents the solution on the number line?

• A)

• B)

• C)

• D)

Key words for inequalities:

Multiple Choice

To have a "A" in math you need to have a minimum grade of 90. 

• x < 90
• x  90>
• x ≤ 90
• x ≥ 90

Multiple Choice

No more than 4 people can fit into the sports car. 

• x > 4
• x ≤ 4
• x ≥ 4
• x > 4

Multiple Choice

The pizza oven needs to be kept on at least 375 degrees. 

• x ≤ 375
• x ≥ 375
• x > 375
• x < 375

Multiple Choice

Trey is renting a paddle board. He pays $6 per hour plus a $10 rental fee. He has $30 to spend. Write an inequality to determine the maximum number of hours can he rent the paddle board.

• 10x + 6 < 30

• 6x + 10 ≤ 30

• 6x + 10 ≥ 30

• 10x + 6 ≤ 30

Multiple Choice

Ellie is renting a paddle boat. The boat rents for a $5 fee plus $3.50 per hour. She wants to spend under $30 altogether. Write the inequality to determine how long she can rent the paddle boat.

• 5x + 3.50 < 30

• 5 + 3.50x < 30

• 5x + 3.50 ≤ 30

• 5 + 3.50x ≤ 30

Multiple Choice

Ken has $40 to spend on groceries. He buys a ham for $14 and then wants to pick up apples for $2.50 per pound. Write an inequality to determine how many pounds of apples he can buy and stay within budget.

• 2.5x + 14 > 40

• 2.5x + 14 < 40

• 2.5 + 14x ≤ 40

• 14 + 2.5x ≤ 40

Multiple Choice

Kori wants to raise at least $450 to donate to her school. She has raised $45 by having a yard sale She plans to bake pies and sell them to make the remaining money. If she plans to sell the pies for $15 each, write an inequality to determine how many pies she must sell to meet or exceed her goal.

• 45x + 15 ≥ 450

• 15x + 45 ≤ 450

• 15x + 45 ≥ 450

• 15x + 45 > 450