Equations and Inequalities Test

When do you "flip the inequalities sign"?

• When you add or subtract a negative

• When it's a 1-step problem

• When you multiply or divide a negative

• When it's a 2-step problem

The product of x and 7 is not greater than 10

• 7x >10

• 7x ≤ 10

• 7 + x < 10

• ⁷ / _x <  10

An elevator has a maximum capacity of 500 pounds.  If the luggage weighs 200 pounds, what is the maximum weight allowable for passengers (p).

• p ≤ 300

• p ≤ 500

• p ≥ 200

• p ≥ 500

If x = -3, which inequality is true?

• -10 + 2x  ≥ -12

• -3 - (-4x) ≤ -20

• 8 - 2x ≤ 15

• 7 - x ≥ 15

Which situation is best represented by the equation 30x + 120 = 330 ?

• Tessa paid $330 for a gym membership. She paid a $30 registration fee and $120 per month for each month she belonged to the gym. What is x, the number of months Tessa has belonged to the gym? 

• Tessa and her best friend joined a gym. Tessa paid $30 for each month she was a member of the gym, and her best friend paid $120 for each month she was a member of the gym. Together, they paid a total of $330 for their gym memberships. What is x, the number of months Tessa and her best friend belonged to the gym?

• Tessa paid $330 for a gym membership. She paid a $120 registration fee as well as $30 per month for each month she belonged to the gym. What is x, the number of months Tessa has belonged to the gym?

• Tessa paid $330 for a gym membership. She paid $30 per month for each month she belonged to the gym. She had a $120 gym membership discount. What is x, the number of months Tessa has been a member of the gym?

Blake is going to rent a kayak. The kayak rental company charges a $20 security deposit plus $12.50 per hour. Blake cannot spend more than $70. Which inequality could be used to find h, the possible number of hours he could rent the kayak.

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Solve for d:

54 = 6 - 8d

• d = -7

• d = -8

• d = -6

• d = -5

Solve.   n - (-2) = -14

• -16

• 16

• 12

• -12

Solve  9 + 3x = 10

• 2/3

• 1/3

• -1/3

• 4

Solve for x.

• x = 21

• x = 7

• x = −21

• x = 4