Keystone Algebra Inequalities Review

Which graph shows the solution set of the inequality |2x - 7| > 3?

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Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

The solution set of an inequality is shown. Which inequality has the solution set shown in the graph?

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Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

A T-shirt company has a goal to earn a monthly profit of more than $3,500. The company charges $20 per T-shirt. The company has $1,500 in monthly costs. The inequality 20x - 1,500 > 3, 500 models this situation. Which BEST describes the meaning of x in the inequality?

• the profit made from the sale of 20 T-shirts

• the profit made from 1 month of T-shirt sales

• the number of T-shirts that need to be sold for the company to meet its goal

• the number of T-shirts that need to be sold for the company to recover its monthly costs

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

A system of inequalities is shown. Which graph represents the system?

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Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

 A parking garage charges a $2.50 base fee plus an hourly rate of $4.00. If you have at most $12.50 to pay for parking, how long can you park?

• $3.40
• $2.50
• 2.5 hours
• 3.4 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

A relation is shown below:
{(2, 140), (5, 350), (14, 960)}
What is the domain of the relation?

• {2, 5, 14}
• {140, 350, 960}
• {all whole numbers from 2 to 14}
• {all whole numbers from 140 to 960}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

A company makes boxes of crackers that should weigh 213g. A quality control inspector randomly selects boxes to weigh.  Any box that varies from the weight by more than 5g is sent back. What is an equation that shows the range of allowable weights for a box of crackers and what is the range?

• |w - 213| ≤ 5,         208 ≤ w ≤ 218
• |w - 213| ≤ 5,                   0 ≤ w ≤ 10
• |w - 5| ≤ 213,         208 ≤ w ≤ 218
• |w - 5| ≤ 213,                   0 ≤ w ≤ 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Which inequality symbol should be used?

Chlorine levels must stay under 8ppms in order to be safe for swimmers.

• c > 8

• c > 8

• c < 8

• c < 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CMS can have up to 15 players on the baseball team before it is full.

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• <

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• >

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x+y≤300
  7.5x+5.5y≥2000
• x+y<300
  7.5x+5.5y≥2000
• x+y≤300
  7.5x+5.5y≤2000
• x+y>2000
  7.5x+5.5y≤300

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12