Create Equations and Inequalities in One Variable

The sum of a number 5 and x is more than 14

• x+4= 14

• x+4 > 14

• x+4 ≥ 14

• x+4 ≤ 14

The sum of a number 5 and x is at least 14

• x+4= 14

• x+4 > 14

• x+4 ≥ 14

• x+4 ≤ 14

The sum of a number 5 and x is at most 14

• x+4= 14

• x+4 > 14

• x+4 ≥ 14

• x+4 ≤ 14

The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.

• 80+9.50x > 120+7.50x

• 80+9.50x < 120+7.50x

• 80x+9.50 > 120x+7.50

• 80x+9.50 < 120x+7.50

Solve the equation shown.

Show the work you do in finding your final answer on the paper provided.

Mathematical Equivalence

ON

Answer explanation

The sum of a number 5 and x is less than 14

• x+4= 14

• x+4 < 14

• x+4 ≥ 14

• x+4 ≤ 14

What happens to the inequality symbol when you multiply or divide by a negative?

• The symbol goes away

• The symbol stays the same

• The symbol is flipped

• Nothing Happens

12x – 10 = 20 + 2x

• x = 3

• x = -3

• x = 2

• x = -2

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A cell phone company charges a $20 flat fee plus $0.05 for every minute used for calls. How many minutes can you talk if you spend $30? Write an equation to represent the total cost.

• 0.05x + 20 = 30; 200 minutes

• 0.05x + 30 = 20; -200 minutes

• 30x + 0.05 = 20; 100 minutes

• 30x + 20 = 0.05; -100 minute