Pre Algebra Inequalities

When solving an inequality, when do you need to switch the inequality sign?

• When you multiply by a positive or negative number

• When you divide by a positive or negative number

• When you multiply/divide by a positive or negative number.

When graphing an inequality, you use an open circle when you use which symbol?

• <, >

• ≤, ≥

When you graph an inequality, you use a closed circle when you use which symbols?

• ≤, ≥

• <, >

Pick the correct letter for:

6 > x

• A

• B

• C

• D

What are two solutions to
x < 8?

• 8.6, 7.9

• 11, 16

• 0.8, 5.9

• 12, 7.1

6 + 2h > 30

• h < 24

• 18 > h

• h > 12

• h < -12

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8 

• x ≤ 18 

4x + 1 > 13

• x > 48

• x < 3

• x > 3.5

• x > 3

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 

• 7x + 13y < 81

• 7x + 13y ≥ 81

• 7x + 13y ≤ 81

• 7x + 13y > 81

A rental car company charges $23.95 per day to rent a car and $0.08 for every mile driven. Nathan wants to rent a car, knowing that: He plans to drive 400 miles. He has at most $440 to spend. Which inequality can be used to determine x, the maximum number of days Nathan can afford to rent for while staying within his budget?