Algebra 1 McDougal Littell Chapter 1 Section 1

In an equation or inequality, you want to get the variable...

• on one side

• to disappear

• isolated (by itself)

Match the graph with its inequality. Note: you may have to simplify or rewrite the multiple choice answers to see which one is correct!

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

At most and No more than are both clue words for...

• <

• >

• ≤

• ≥

Pick the correct letter for:

6 > x

• A

• B

• C

• D

Jim has $8 to spend on pizza. The slice is $4 and each topping is $0.50. Create an inequality to represent the number of toppings Jim can get if he only buys one slice of pizza.

• 4x + 0.50 ≥ 8

• 0.50x + 4 < 8

• 0.50x +4 ≤ 8

• 4x +0.50 ≤ 8

Does the sign need to flip when solving?
-2x ≥ 22

• YES

• NO

A limo driver needs to make more than $450 in one day.  He charges a rental fee of $375 and $0.85 per mile.  What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450

• 0.85x + 375 < 450

• 0.85 + 375x > 450

• 0.85 + 375x < 450

Solve for x

4x + 3 ≤ −6

• x ≥ −9

• x ≤ −9

• x ≥ −2.25

• x ≤ −2.25

Solve for x

3x − 8 ≥ 4(x − 1.5)

• x ≥ 3.5

• x ≤ 3.5

• x ≥ −2

• x ≤ −2

Solve the inequality:

3(x – 1) ≥ –9

• x ≥ –2

• x ≥ 2

• x ≤ –2

• x ≤ 2