Quiz about Solve Linear Equations Algebra 2 Review

Question 1

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

Accepted Answer

Option D is correct

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Question 2

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

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 3

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

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 4

Solve:

3x - y = 28

3x + y = 14

Accepted Answer

(7, -7)

Answer

(8, -4)

Answer

(-7, 7)

Answer

(-4, 8)

Question 5

How many solutions does the system of equations have?

y =3x-2

-6x+2y=4

Accepted Answer

None

Answer

Exactly One

Answer

Exactly 2

Answer

Infinitely Many

Question 6

Identify the solution to the system of equations.

Accepted Answer

(2, 2)

Answer

(0, 3)

Answer

(0, 2)

Answer

(6, 2)

Question 7

x + 8y = 7

2x + 8y = 6

Accepted Answer

(-1, 1)

Answer

(-1, -1)

Answer

(0,0)

Answer

No solution

Question 8

Jack is taking a math quiz. He needs to solve at least 10 geometry and algebra problems within 3 hours (180 minutes). Jack takes 30 minutes to solve a geometry problem and 10 minutes to solve an algebra problem.

Which system of inequalities can be used to determine the number of geometry problems (g) and the number of algebra problems (a) Jack can solve?

Accepted Answer

g + a > 10

30g + 10a < 180

Answer

g + a > 10

30g + 10a > 180

Answer

g + a < 10

30g + 10a > 180

Answer

g + a < 10

30g + 10a < 180

Question 9

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

Accepted Answer

(3, 2)

Accepted Answer

(1, -2)

Answer

(3, 4)

Answer

(-3, 2)

Answer

(0, 3)

Question 10

Question 10.

Accepted Answer

(0, 2)

Answer

(-1,1)

Answer

(2, -2)

Answer

(2, 0)

Question 11

Look at the system of equations below.

2x+3y=12

x+y=3

Which of the following shows a way that one of the equations could be rewritten in order to solve the system?

Accepted Answer

2x+3y=12

-2x - 2y = -6

Answer

2x +3y =12

-x - y = -3

Answer

2x + 3y = 12

2x - 2y = 3

Answer

2x + 3y = 12

-2x - 2y = 6

Question 12

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 13

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 14

Which two statements about the system are true? (Select all that apply)

y = 3x - 6

4x + 2y = -12

Accepted Answer

The equations have the same y-intercept.

Accepted Answer

They system will have one solution.

Answer

They equations have the same slope.

Answer

The system will have infinite solutions.

Answer

The system will have no solution.

Question 15

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 is the point of intersection?

Accepted Answer

(2, 6)

Answer

(0, 5)

Answer

(0, 0)

Answer

(6, 2)

Question 16

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 17

Solve the system of inequalities by graphing.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Solve Linear Equations Algebra 2 Review

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