Ms. Rodriguez showed her students how to solve this system of equations. y=2x-1 y=4x+1 She found the solution of (-1, -3). What does this mean?

The graphs of the lines intersect at the point (-1, -3).

Substituting y = -1 and x = -3 makes both equations true.

(-1,-3) is one of many solutions to the system.

Equation 1 intersects the y-axis at -1 and equation 2 intersects the y-axis at -3.

A group of 40 children attended a baseball game on a field trip and spent $83.50 on food. Hot dogs were $2.25 and popcorn was $1.75. The systems of equations below models this situation, where x represents the number hot dogs and y represents the number bags of popcorn. 2.25x + 1.75y = 83.50 x + y = 40 Choose the appropriate meaning for the solution (27, 13).

They purchased 27 hot dogs and 13 bags of popcorn.

They purchased 27 bags of popcorn and 13 hot dogs.

Hot dogs cost $27 and popcorn costs $13.

There were 27 boys and 13 girls on the field trip.

Carly is comparing cell phone rate plans. Each plan has an initial monthly charge plus cost per minute. What are the initial monthly charges for plans A and B?

Plan A has an initial monthly charge of $20. Plan B has an initial monthly charge of $50.

Plan A has an initial monthly charge of $10. Plan B has an initial monthly charge of $10.

Plan A has an initial monthly charge of $50. Plan B has an initial monthly charge of $20.

Both Plan A and Plan B have an initial monthly charge of $50.

Which two statements about the system are true? (Select all that apply) y = 3x - 6 4x + 2y = -12

The equations have the same y-intercept.

They system will have one solution.

They equations have the same slope.

The system will have infinite solutions.

The system will have no solution.

Which system of inequality is shown?

y ≥ -1/5x - 1/2 y ≤ -2x - 4

Alex and Lauren are comparing rental rates for roller blades. The rates for Town Lake Rentals and Austin Rentals are shown in the graph below. What does the point of intersection represent?

The cost is the same to rent from Austin rentals and Town Lake rentals if you rent for 2 hours.

It costs $6 to rent from Austin Rentals and $2 to rent from Town Lake Rentals.

It costs $6 per hour to rent from Austin Rental and $2 per hour to rent from Town Lake.

It cost $5 to rent from Austin Rentals and Town Lake is free.

Solve Linear Equations Algebra 2 Review

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Practice Problem

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Hard

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CCSS

8.EE.C.8B, HSA.REI.D.12, 8.EE.C.8C

Standards-aligned

Barbara White

FREE Resource

21 questions

Show all answers

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Which graph represents a system of linear equations that has exactly one solution? (Select all that apply)

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which graph represents a system of linear equations that has no solution?

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which graph represents a system of linear equations that has multiple common solutions?

Tags

CCSS.8.EE.C.8A

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve:
3x - y = 28
3x + y = 14

(8, -4)

(-7, 7)

(7, -7)

(-4, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

How many solutions does the system of equations have?

y =3x-2
-6x+2y=4

None

Exactly One

Exactly 2

Infinitely Many

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Identify the solution to the system of equations.

(2, 2)

(0, 3)

(0, 2)

(6, 2)

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

x + 8y = 7
2x + 8y = 6

(-1, -1)

(0,0)

(-1, 1)

No solution

Tags

CCSS.8.EE.C.8B

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Solve Linear Equations Algebra 2 Review

21 questions

Which graph represents a system of linear equations that has exactly one solution? (Select all that apply)

Which graph represents a system of linear equations that has no solution?

Which graph represents a system of linear equations that has multiple common solutions?

Solve:
3x - y = 28
3x + y = 14

How many solutions does the system of equations have?

y =3x-2
-6x+2y=4

Identify the solution to the system of equations.

x + 8y = 7
2x + 8y = 6

Identify they system that matches the graph.

Which two ordered pairs are a solution to the system of inequalities? (Select all that apply)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solve Linear Equations Algebra 2 Review

21 questions

Which graph represents a system of linear equations that has exactly one solution? (Select all that apply)

Which graph represents a system of linear equations that has no solution?

Which graph represents a system of linear equations that has multiple common solutions?

Solve: 3x - y = 283x + y = 14

How many solutions does the system of equations have?y =3x-2-6x+2y=4

Identify the solution to the system of equations.

x + 8y = 7 2x + 8y = 6

Identify they system that matches the graph.

Which two ordered pairs are a solution to the system of inequalities? (Select all that apply)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solve:
3x - y = 28
3x + y = 14

How many solutions does the system of equations have?

y =3x-2
-6x+2y=4

x + 8y = 7
2x + 8y = 6