Quiz about Systems Of Equations Review

Question 1

What is the solution to the system?

Accepted Answer

(1, 3)

Answer

(0, 3)

Answer

(1, -1)

Answer

(-3, 1)

Question 2

Parallel Lines never intersect because...

Accepted Answer

they have the same slopes.

Answer

they have the same y-intercept.

Answer

they have different slopes.

Answer

they have different y-intercepts.

Question 3

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

Accepted Answer

Infinitely many solutions

Answer

(0,3)

Answer

(3,0)

Answer

No solution(parallel lines)

Question 4

Solve for x and y.
y = 2/3x - 2
y = -x + 3

Accepted Answer

(3,0)

Answer

(0,3)

Answer

(0,-3)

Answer

(-3,0)

Question 5

2x - y = 0

4x - y = 0

Accepted Answer

(0,0)

Answer

(1,2)

Answer

No Solutions

Answer

Infinite Solutions

Question 6

The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

Accepted Answer

x=3

Answer

x=8

Answer

x=11

Answer

x=5

Question 7

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 8

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

Accepted Answer

1

Answer

-1

Answer

3

Answer

4

Question 9

What is the solution?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Question 10

Solve:
3x + 2y = 16
7x + y = 19

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Answer

(2,-5)

Question 11

Which of the following is not a method to solve systems?

Accepted Answer

Difference of Squares

Answer

Elimination

Answer

Substitution

Answer

Graphing

Question 12

A ________________ is a set of two or more equations that have the same variables.

Accepted Answer

system of equations

Answer

solution of a system

Answer

elimination method

Answer

table

Question 13

The ordered pair that satisfies all equations in the system.

Accepted Answer

solution of a system

Answer

system of equations

Answer

function

Answer

graph

Question 14

x + 2y = -4
x - 2y = 8

Accepted Answer

(2,-3)

Answer

(2,5)

Answer

(2,-2)

Answer

(-3,2)

Question 15

x - y = -2
y = -2

Accepted Answer

(-4,-2)

Answer

(1,-2)

Answer

(-1,-2)

Answer

(4,-2)

Question 16

What is the type of solution to the system of equations?
y = 1/4x - 3
y = 2/8x - 3

Accepted Answer

infinitely many solutions

Answer

one solution

Answer

no solution

Question 17

A linear system has infinitely many solutions when the graphs of the equations are _____________.

Accepted Answer

identical

Answer

not identical

Answer

parallel

Answer

one point

Question 18

Marty graphs a system of equations, but only one line shows on the graph. What could this mean?

Accepted Answer

The system has infinitely many solutions.

Answer

The system has a unique solution.

Answer

The system has two solutions.

Answer

The system has no solution.

Question 19

A linear system has no solution when the graphs of the equations are parallel.

Accepted Answer

TRUE

Answer

FALSE

Question 20

A linear system has one solution when the graphs of the equations ____________________________________.

Accepted Answer

Both A and B

Answer

A. The lines intersect.

Answer

B. Lines have different slopes and y-intercepts.

Answer

None of the above

Question 21

What is the slope of the linear equation:
y = -5x + 6?

Accepted Answer

-5

Answer

1/5

Answer

6

Answer

-5x

Question 22

What is the initial value of the linear equation y = 3x + 5

Accepted Answer

(0, 5)

Answer

3

Answer

(5, 0)

Answer

3/5

Question 23

The solution (x, y) to a system of equations is the point where they...?

Accepted Answer

Intersect

Answer

Run off the graph

Answer

Don't touch

Answer

Exist

Question 24

What is the solution to this system of equations? Solve by substitution or graphing.

Accepted Answer

(7, -8)

Answer

(-7, 8)

Answer

(-7, -8)

Answer

(7, 8)

Question 25

Solve the system of equations.
x + 5y = -27
-2x - 5y = 24

Accepted Answer

(3, -6)

Answer

(3, 6)

Answer

(-3, -6)

Answer

(-3, -4)

Question 26

Which method would be best (quickest) for solving the system below:
x + y = 11
3x - 4y = -2

Accepted Answer

Elimination

Answer

Substitution

Answer

Graphing

Answer

None of these

Question 27

Parallel lines have ____ solution(s).

Accepted Answer

No

Answer

One

Answer

Many

Question 28

Intersecting lines have _____ solution(s).

Accepted Answer

One

Answer

No

Answer

many

Question 29

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

Accepted Answer

infinitely many

Answer

no

Answer

one

Question 30

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 31

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which system of equations can be used to determine s, the number of senior citizen tickets sold and c, the number of children tickets sold?

Accepted Answer

3s + 1c = 38

3s + 2c = 52

Answer

1s + 3c = 38

2s + 3c = 52

Answer

s + c = 38

s + c = 52

Answer

3s + 3c = 38

1s + 2c = 52

Question 32

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which system of equations could be used to determine the cost of the coffee, c and doughnuts, d?

Accepted Answer

10c + 5d = 16.50

5c + 10d = 14.25

Answer

10c + 5d = 14.25

5c + 10d = 16.50

Answer

c + d = 10

5c + 10d = 16.50

Answer

c + d = 5

5c + 10d = 16.50

Question 33

Maria has $128 more than Juan. Together they have $357.00. How much money does Juan have?

Accepted Answer

$114.50

Answer

$175.50

Answer

$242.50

Answer

$252.50

Systems Of Equations Review

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