Topic 4 Test - Envision Algebra I

Solve the system by graphing. Choose the solution to the system of equations shown: y = 2x + 2 and y = x.

• (-2, -2)

• (1, 2)

• (0, 2)

• (2, 4)

Tags

CCSS.8.EE.C.8B

Does the system have no solution or infinitely many solutions? y = (2/3)x + 2 and -2x + 3y = 6

• No solution

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Estimate the solution of the system of equations using the provided graph of two lines on a coordinate plane. Choose the ordered pair that best represents the intersection point.

• (-1, 2)

• (1, -4)

• (2, 0)

• (0, 2)

Tags

CCSS.8.EE.C.8B

Raul bikes 6 mi home from school at a rate of 3 mi/h. Leah leaves school 30 min after Raul and bikes the same route at a rate of 4 mi/h. How many hours does it take Leah to catch up with Raul?

• 1.5 h

• 3 h

• 6 h

• 2/3 h

Tags

CCSS.8.EE.C.8C

What is the solution of the system of equations? y = (3/2)x + 5/4 and -2x + 8y = -25

• (-7/2, -4)

• (-4, -7/2)

• (7/2, 4)

• (-3, -4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution of the system of equations? 2x + 5y = 20 and y = -(2/5)x - 1

• One solution

• No solution

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Luke sells toy cars for $12 each. His expenses are $3.50 per car, plus $34 for tools. How many cars must he sell for his revenue to equal his expenses?

• 3

• 10

• 4

• 3.5

What is the solution of the system? 2x + 5y = 14 and x + 3y = 16

• (-38, 18)

• (18, -38)

• (14, 16)

• (0, 14)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which system has the same solution as the system of equations shown? 3x + 2y = -5 and 2x + 3y = 5

• 6x + 4y = -5 and 6x + 9y = 5

• 9x + 6y = -15 and 4x + 6y = 10

• 6x + 4y = -10 and -6x + 9y = 15

• 6x + 4y = -10 and 6x + 9y = 5

Tags

CCSS.8.EE.C.8B

What is the solution of the system? 5x + 2y = 9 and 4x - 3y = 44

• (5, -8)

• (-8, 5)

• (9, 44)

• (0, 9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6