Systems of Equations and Inequalities STAAR Review

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill. Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?

• 6x + 2y < 120

• 2x + 6y ≤ 120

• 6x + 2y > 120

• 2x + 6y ≥ 120

_{Which system of equations does the graph represent?}

• y = -x- 4

  y = 2x − 2

• y = −x + 4

  y = 2x − 4

• y = x − 4

  y = −2x − 2

• y = x + 4

  y = −2x − 4

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64 8

  y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Which graph best represents the solution set of y > 3x − 4?

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A college student has two different jobs. Her combined work schedules consist of no more than 48 hours in one week. Which graph best represents the solution set for all possible combinations of x, the number of hours she worked at her first job, and y, the number of hours she worked at her second job, in one week?

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Which graph best represents this system of equations and its solution?

8x − 4y = −16

3x + 15y = −6

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A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses. How many courses worth 3 credits did the student complete?

• 20

• 5

• 13

• 39

What is the value of x in the solution to this system of equations?

3x - 5y = 22

y = − 5x + 32

• −6.5

• 0.5

• −0.5

• 6.5