Benchmark 2 Practice, Algebra 1

For the following graph identify the trend shown.

Type "Positive" if you see a positive correlation, "Negative" for negative correlation, and "No" if there's no correlation

Use points on the line of best fit to create the equation for the following scatter plot.

Solve using elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174
  4d + 2c = 50

• d + c = 50
  4d + 2c = 174

• d + c = 50
  2d + 4c = 174

• d + c = 174
  2d + 4c = 50

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5

• $10

• $15

• $20

Set up and solve the system that models this situation:

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin?

• Alex is 11 years old

  Erin is 22 years old

• Alex is 12 years old

  Erin is 21 years old

• Alex is 22 years old

  Erin is 11 years old

• Alex is 21 years old

  Erin is 12 years old

Which inequality is graphed on the given coordinate plane?

•  y > x + 1

• y < x + 1

• y ≥ -x + 1

• y ≤ -x + 1

Which system of linear inequalities is represented by the graph?

• y≤2x-1
  y>-2x+3

• y>2x-1
  y≤-2x+3

• y<2x-1
  y≥-2x+3

• y≤2x-1
  y>2x+3

Solve the system of inequalities by graphing.

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Which is the graph of the system of inequalities?

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