Unit 3 Test Review

3.1 Systems by Substitution

100

Solve the systems of equations using substitution:

y=-4x-17

 -5x-5y=10 

(-5,3)

200

Solve the systems of equations using substitution:

 y=-5

-3x+4y=-2

(-6,-5)

300

Solve the systems of equations using substitution:

-8x-5y =-24

-x+y=10

(-2,8)

400

Solve the systems of equations using substitution:

x+3y=1

-3x-3y=-15

(7,-2)

500

Solve the systems of equations using substitution:

-2x+6y=6

-7x+8y=-5

(3,2)

3.2 Systems by Elimination

100

Solve the systems of equations using elimination:

2x+y=7

x-2y=6

(4,-1)

200

Solve the systems of equations using elimination:

14x+2y=26

-14x-6y=-50

(1,6)

300

Solve the systems of equations using elimination:

3x - y = 19

-3x + y = 10

No Solutions

400

Which step could be used to eliminate y ?

-2x + y = 3

-10x -7y = 3

A. Multiply the first equation by 5

B. Multiply the first equation by -5

C. Multiply the first equation by 7

D. Multiply the first equation by -7

The correct answer is C. 

500

Which step could be used to eliminate y ?

 8x +2y  = 6

-20x -5y =-15

A. Multiply the first equation by 20 and the second equation by 8

B. Multiply the first equation by 5 and the second equation by 2

C. Multiply the first equation by -20 and the second equation by -8

D. Multiply the first equation by 5 and the second equation by -2

The correct answer is B. 

3.3 Systems by Graphing

100

What is the solution to the systems of equations?

(4, -1)

200

What is the solution to the systems of equations?

(-1,1)

300

What is the solution to the systems of equations?

No solution

400

Using graphing, find the solution to the systems of equations:

5x+3y=15

 10x+6y=20 

No Solution

500

What is the solution to the systems of equations?

Infinite number of solutions

3.5 Systems of Inequalities

100

What type of line will be used from this inequality > ?

A. Solid Line

B. Dashed Line

C. Neither

The correct answer is A. 

200

Where would you shade when using this inequality > ?

A. Shade below

B. Shade above

C. Neither

THe correct answer is B. 

400

Which of the following points is a solution to the inequality?

y ≤ x − 2

y > −3x + 5

A. Point (3,5)

B. Point (-2,1)

C. Point (1,-8)

D. Point (5,-2)

The correct answer is D

500

Which of the following points is a solution to the inequality?

3x+2y≥-2

x+2y<2

A. Point (3,-2)

B. Point (2,5)

C. Point (-4,-1)

D. Point (-2,5)

The correct answer is A. 

3.6Error Analysis

100

2x-y=40

x-y=20

The student used elimination to solve the system. In which step did the student make their first mistake?

Step 1:     3x+0 = 60

Step 2:          3x= 60

Step 3:           x = 20

Step 4:         (20)-y=20

Step 5:               y=0

The mistake was in step 1. 

200

y=-8x+50

x+4y=70

The student used substitution to solve the system. In which step did the student make their first mistake?

Step 1:   (-8x+50) +4y = 70

Step 2:          -8x  +4y = 20

Step 3:                   4y = 20 +8x

Step 4:                    y = 5 + 2x

The mistake was found in Step 1. 

300

5x-3y=40

2x+3y=-40

The student used elimination to solve the system. In which step did the student make their first mistake?

Step 1:     7x+0 = 0

Step 2:          7x= 0

Step 3:           x = 0

Step 4:         No solution

The mistake was in step 4. 

400

y=2x+10

2x-5y=10

The student used substitution to solve the system. In which step did the student make their first mistake?

Step 1:   2x -5(2x+10) = 10

Step 2:   2x -10x+50 = 10

Step 3:        -8x+50  =10

Step 4:           -8x  = -40    

Step 5:               x  = 5      

The mistake was in step 2.