Blitz Day 4 - GP - Systems

What is the solution to this system of equations? -3x + 5y = 21 6x - y = -15

• (2, 27)

• (-2, 3)

• (2, 0)

• (-3, -3)

The tables of ordered pairs represent some points on the graphs of two different lines.

Which system of equations represents the graph of these two lines?

• x - 6y = -90

  x - 3y = 27

• x + 6y = 90

  x + 3y = -27

• 6x - y = -15

  3x - y = 9

• 6x + y = 15

  3x + y = -9

A company advertises on two websites. Each website charges a different amount based on the number of clicks on the advertisement. The table shows the number of clicks on each website and the total cost for each of two days.

What is the cost per click on Website 1?

• $1.85

• $5.38

• $2.20

• $2.70

Which graph best represents this system of equations and its solution? 2x = 6 - y 5x - 4y = 28

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The line graphed on the grid represents the first of two equations in a system of linear equations.

If the graph of the second equation in the system passes through the points (-12, 20) and (4, 12), which statement is true?

• The only solution to the system is (10, 5).

• The only solution to the system is (0, 14).

• The system has no solution.

• The system has an infinite number of solutions.

Which graph best represents the solution set for this system of inequalities? x + 2y < -2 y - x < 3

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A mail carrier delivers mail on one of two different routes: a morning route or an afternoon route.

Each workday the mail carrier is assigned one of these two routes. - Last month the mail carrier delivered mail on the morning route 16 times and on the afternoon route 12 times, for a total distance traveled of 141 miles. - This month the mail carrier delivered mail on the morning route 10 times and on the afternoon route 15 times, for a total distance traveled of 123.75 miles. What is the distance of the morning route in miles?

• 5.25 mi

• 6.00 mi

• 4.75 mi

• 5.00 mi