Unit 1 Exam Review

Solve for x
∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3   x = -6
• x = 3   x = -12
• x = 6   x = -12

Solve for x
| 2x – 3 | + 5 =10.

• { -1, 1 }
• { -1, 4 }
• { -1, -4 }
• { 1, 4 }

4|5x-2|+7>39

• -6/5 < x > 2
• x=2 or x=-6/5
• x=2 and x=-6/5
• x < -6/5 or x > 2

Solve |x – 12| - 3 = 11.

• -2, -26
• -2, 26
• 3, 25
• 4, -7

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

Solve the system of inequalities by graphing.

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The Chess Club is selling brownies and lemon bars to raise money to travel out of state. They only have enough baking materials for no more than 200 brownies and lemon bars total, however, they need to make at least 630 dollars. If they sell each brownie for $4 and each lemon bar for $2.50, which system matches this scenario?

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 9

• 100x + 25 y ≤ 200

  2x + 9y ≤ 16

• x + y ≥ 200

  9x + 25y ≤ 16

• 9x + 25y ≥ 200

  x + y ≤ 16

Coach Anthony has a jar full of change. There are 37 nickels, dimes, and quarters. The total of the coins is $3.75. If there are twice as many nickels than dimes, how many of each does he have?

• 20 dimes, 10 nickels, 7 quarters

• 10 dimes, 20 nickels, 7 quarters

• 9 dimes, 18 nickels, 10 quarters