Quiz about Unit 2 - Systems of Linear Equations Review

Question 1

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(0, 1)

Question 2

If a system of equations has no solution, what does the graph look like?

Accepted Answer

parallel lines

Answer

intersecting lines

Answer

skew lines

Answer

intersecting lines

Question 3

How many solutions does this system of equations have?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Answer

Two Solutions

Question 4

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

Accepted Answer

d + c = 50

4d + 2c = 174

Answer

d + c = 174

4d + 2c = 50

Answer

d + c = 50

2d + 4c = 174

Answer

d + c = 174

2d + 4c = 50

Question 5

Solve the system of equations by graphing.
y = -4x + 5
y = 3x - 16

Accepted Answer

(3,-7)

Answer

(-3, -25)

Answer

(11, 17)

Answer

(21, 47)

Question 6

This system has _____ solutions

Accepted Answer

0

Answer

1

Answer

2

Answer

Infinitely many

Question 7

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

Accepted Answer

3h + 2d = 315

2h + 4d = 450

Answer

3h + 2d = 450

2h + 4d = 315

Answer

2h + 2d = 315

3h + 4d = 450

Question 8

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

Accepted Answer

yes

Answer

no

Question 9

Solve for x and y using any method we've learned!
y = 2x + 1
y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

Question 10

Which variable will be eliminated and how?

4x+9y=28

-4x-y=-28

Accepted Answer

x; addition

Answer

y; addition

Answer

x; subtraction

Answer

y; subtraction

Question 11

Solve this system using any method.

Accepted Answer

(2,4)

Answer

(-2, 4)

Answer

(-2, -4)

Answer

(2, -4)

Question 12

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

Accepted Answer

x + y = 1550
y = 4x

Answer

x + y = 1550
y = x + 4

Answer

y - x = 1550
y = 4x

Answer

y = 1550 + x
y = x + 4

Question 13

How many solutions will this system have?

Accepted Answer

No solution

Answer

One Solution

Answer

I Don't Know

Answer

Infinitely Many Solutions

Question 14

What is the solution to the system?

Accepted Answer

(6, -2)

Answer

(3, -1)

Answer

(2, -6)

Answer

No Solution

Question 15

Solve the system using any method:

4x+8y=20

-4x+2y=-30

Accepted Answer

(7,-1)

Answer

(-7,1)

Answer

(2,-5)

Answer

(-2,5)

Question 16

Which variable will be eliminated and how?

x - y = 11

2x + y = 19

Accepted Answer

y; addition

Answer

x; addition

Answer

y; subtraction

Answer

x; subtraction

Question 17

Solve for x and y using substitution or elmination.

3x + 2y = 16

7x + y = 19

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Answer

(2,-5)

Question 18

How can you tell if a point is a solution to a system?

Accepted Answer

The (x,y) coordinates satisfy both equations

Answer

It makes the first equation true.

Answer

It makes logical sense

Answer

It makes neither equation negative

Question 19

Janie found her solution for a system of equations to be (-5, 8). Describe the system.

Accepted Answer

Consistent and Independent

Answer

Inconsistent

Answer

Consistent and Dependent

Question 20

Joseph graphed a system and found that the lines were parallel. Describe the system.

Accepted Answer

Inconsistent

Answer

Consistent and Dependent

Answer

Consistent and Independent

Question 21

Kayla graphed a system of equations and saw only one line. Describe the system.

Accepted Answer

Consistent and Dependent

Answer

Consistent and Independent

Answer

Inconsistent

Question 22

Marco graphed a system of equations and saw one line. Describe the solution.

Accepted Answer

Infinitely Many Solutions

Answer

No solution

Answer

One Solution

Question 23

Katrina graphed a system of equations and saw intersecting lines. Describe the solution.

Accepted Answer

One Solution

Answer

Infinitely Many Solutions

Answer

No Solution

Question 24

Choose the correct system: Tammy sold chocolates and lollipops for her fundraiser. She sold $200 worth of candy. She also noted that she sold 4 times more lollipops than she did chocolates.

Accepted Answer

$c+l=200$
$l=4c$

Answer

$c+l=200$
$l=4c$

Answer

$c+l=200$
$l=4c$

Question 25

True of False?

On test day, you will check all your answers by graphing so that at least you get the solution right.

Accepted Answer

True; I know how to graph equations with the calculator and find the intersection.

Answer

False; I don't know how to graph equations with the calculator and I don't care to find out how.

Question 26

Which variable will be eliminated and how?

4x + 6y = 8

2x + 6y = 12

Accepted Answer

y; subtraction

Answer

x; addition

Answer

y; addition

Answer

x; subtraction

Question 27

Using substitution, what is the first step?

2x + y = 5

y = x - 4

Accepted Answer

2x + x - 4 = 5

Answer

2x - x - 4 = 5

Answer

2x + y + x - 4 = 5

Answer

y = 2x + y -4

Question 28

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

Accepted Answer

4x+3y=134
3x+3y=120

Answer

x+y=134
x+y=120

Answer

3x+3y=134
4x+3y=120

Answer

7xy=134
6xy=120

Question 29

Which of the following is not a solution to this system of inequalities?

Accepted Answer

(0,-1)

Answer

(0,3)

Answer

(4,0)

Answer

(6,-2)

Question 30

Solve the system of inequalities by graphing.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 31

What is the solution?

Accepted Answer

No solution

Answer

(0, 2)

Answer

(0, -4)

Answer

(3, -3)

Question 32

Describe the system

2x + 4y = 5

4x - 8 = 7y

Accepted Answer

consistent and independent

Answer

consistent and dependent

Answer

inconsistent and independent

Answer

inconsistent and dependent

Question 33

Describe the system

2x = 6 - 2y

3x + 3y = 9

Accepted Answer

consistent and dependent

Answer

consistent and independent

Answer

inconsistent and independent

Answer

inconsistent and dependent

Question 34

Which of the following is a solution to the systems of inequalities?

Accepted Answer

(-2, 1)

Answer

(0, -2)

Answer

(-3, 0)

Answer

(-3, 2)

Question 35

Which of the following is NOT a solution to the systems of inequalities?

Accepted Answer

(-2, -1)

Answer

(-5, 0)

Answer

(-4, 1)

Answer

(-3, -1)

Question 36

Which of the following is NOT a solution to the systems of inequalities?

Accepted Answer

(-1, -2)

Answer

(0, 0)

Answer

(3, 1)

Answer

(1, -4)

Question 37

Which of the following is a solution to the systems of inequalities?

Accepted Answer

(0, -3)

Answer

(1, -5)

Answer

(-2, 3)

Answer

(-1, -2)

Question 38

Using substitution, what is the first step?

4x + y = -5
y = x + 10

Accepted Answer

4x + x + 10 = -5

Answer

4x + y + x + 10 = -5

Answer

4x + x - 10 = 5

Question 39

A system of equations with no solution will have lines that...

Accepted Answer

are parallel and never touch

Answer

are the same

Answer

cross in one place

Question 40

Intersecting lines have _____ solution(s).

Accepted Answer

One

Answer

No

Answer

many

Question 41

Two equations that produce the same line have _____ solution(s).

Accepted Answer

infinitely many

Answer

no

Answer

one

Question 42

What is the solution to the system of equations graphed below?

Accepted Answer

One Solution: (-2, 1)

Answer

No Solution

Answer

Infinite Solutions

Answer

One Solution: (1, -2)

Question 43

Solve the system.

Accepted Answer

(5, -6, 3)

Answer

(2, 3, -1)

Answer

(-4, 2, 5)

Answer

No Solution

Question 44

Solve the system.

Accepted Answer

(-3, 2, -1)

Answer

(3, -2, 4)

Answer

(2, -3, 1)

Answer

Infinitely many solutions

Question 45

Solve the system.

Accepted Answer

(5, -6, 3)

Answer

(2, 3, -1)

Answer

(-4, 2, 5)

Answer

No Solution

Unit 2 - Systems of Linear Equations Review

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