Unit 4 Test Review Systems

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown.

Shop Shawn used: y = 10 + 3.5x

Shop Dorian used: y = 6x

If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental?

Tags

CCSS.8.EE.C.8C

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28. Which solution can be used to fill in both blanks in the table?

• (2, 5)

• (5, 2)

• (5, −8)

• (−8, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which is the best approximation for the solution of the system of equations?

y = x + 1

y = 3x – 2

• (0.45, 0.88)

• (0.88, 0.65)

• (0.88, 1.1)

• (1.3, 0.88)

Tags

CCSS.8.EE.C.8B

The solution to the system of equations shown is (2, 0).

3x − 2y = 6

x + 4y = 2

When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14

Which system of equations will also have a solution of (2, 0)?

• 6x - 4y = 6

  x + 4y = 2

• 6x − 4y = 6

  2x + 8y = 2

• x + 4y = 2

  7x = 14

• 6x − 4y = 6

  7x = 14

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The table can be used to determine the solution to the system of equations, 2y − x = 8, and y − 2x = −5. Which solution can be used to fill in both blanks in the table?

• (1, 6)

• (6, 1)

• (7, 6)

• (6, 7)

Tags

CCSS.HSA.REI.C.9

What is the y-value in the solution to this system of linear equations?

4x + 5y = −12

-2x + 3y = −16

• −4

• −2

• 2

• 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which statements about the system are true? Select two options.

y = x – 4

3y – x = –7

• The system has one solution.

• The system consists of parallel lines.

• Both lines have the same slope.

• Both lines have the same y–intercept.

• The equations represent the same line.

Tags

CCSS.8.EE.C.8B

Lukas graphed the system of equations shown.

2x + 3y = 2

y = x + 3

What is the solution to the system of equations?

• (–2, 2)

• (0, 0.67)

• (0, 3)

• (1, 0)

Tags

CCSS.8.EE.C.8B

Heather writes the equations below to represent two lines drawn on the coordinate plane.

–6x + 18y = 0

4x – 12y = 20

After applying the linear combination method, Heather arrived at the equation 0 = 60. What conclusion can be drawn about the system of equations?

• The equation has no solution; therefore, the system of equations has no solution.

• The equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60).

• The equation has infinite solutions; therefore, the system of equation as infinite solutions.

• The equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).

Tags

CCSS.8.EE.C.8B

Which linear inequality is represented by the graph?

• y > 2x + 3

• y < 2x + 3

• y > −2x + 3

• y < −2x + 3

Tags

CCSS.HSA.REI.D.12