Solving Inequalities Algebra Review

-7 + 10z > -27

• z < -2
• z > -34
• 2 > z
• z > -2

10 < 3x + 19

• x < 3
• x > 3
• x < -3
• x > -3

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE

• 75x-10 ≥ 300
• 75+10 ≤ 300x
• 10x ≥ 300
• 75+10x ≤ 300

6x + 2 + 6x < 14

• x < 1
• x > 1
• x < -1
• x > -1

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

-138 ≥ -6(6b − 7)

• b ≤ 5
• b ≤ -5
• b ≥ 5
• b ≥ -5

-2(5 + 6n) < 6(8 − 2n)

• no solution
• infinite solution
• x < 0
• x > 0

Your taxi fare is $2.50 per mile, plus a $5 fee.  You cannot exceed $20.  Which inequality models this scenario?

• 5x + 2.50 ≤ 20
• 2.50x + 5 < 20
• 2.50x + 5 ≤ 20
• 7.50x < 20

You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.

• 12x + 1200 > 400
• 12x + 400 < 1200
• 12x + 400 > 1200
• 12x + 400 < 1200

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

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >