Linear Systems Knowledge Tracker

Question 1

A system of equations is graphed on the grid. 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

Question 2

The graphs of lines k1 and k2 are shown on the grid. Which system of equations is best represented by this graph?

• 3x - y = 2

  4x + 9y = 36

• 3x - y = 6

  4x + 9y = 4

• x - 3y = -18

  9x + 4y = 9

• x + y = 10

  9x + 4y = 13

Question 3

The tables of ordered pairs represent some points on the graphs of lines f and g. Which system of equations represents lines f and g?

• y = 1.75x + 3.5

  y = -4x - 8

• y = 1.75x + 3.5

  y = -4x - 2

• y = 3.5x + 1.75

  y = -4x - 8

• y = 3.5x + 1.75

  y = -4x - 2

Question 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

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Question 5

A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies.

Each black-and-white copy cost $0.08.

Each color copy cost $0.15.

Which system of equations can be used to find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop?

• A:

  b + c = 6.00

  0.08b + 0.15c = 68

• B:

  b + c = 68

  0.15b + 0.08c = 6.00

• C:

  b + c = 6.00

  0.15b + 0.08c = 68

• D:

  b + c = 68

  0.08b + 0.15c = 6.00

Question 6

A system of linear equations is represented by line h and line j. A table representing some points on line h and the graph of line j are shown. Which system of equations is best represented by lines h and j?

Question 7

Line n is shown on the coordinate grid. The table of ordered pairs represents some points on line p. Which system of equations represents line n and line p?

• 3x - y = 2

  2x + y = 4

• 3x + y = -2

  2x + y = 4

• 3x - y = 2

  x + 2y = 4

• 3x + y = -2

  x + 2y = 4

Question 8

Graph the solution set of y < -2x + 3.

• A graph with a shaded region below the dotted line y = -2x + 3

• A graph with a shaded region above the dotted line y = -2x + 3

• A graph with a shaded region below the solid line y = -2x + 3

• A graph with a shaded region above the solid line y = -2x + 3

Question 9

Which graph best represents the solution set of -4x ≤ 6y - 54?

• A

• B

• C

• D

• (-8, 8)

• (6, -5)

• (4, -6)

• (-2, -7)