Quiz about Solving Linear Systems

Question 1

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

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 2

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?

Accepted Answer

x + y = 6
14.80x + 17y = 91

Answer

x + y = 91
14.80x + 17y = 6

Answer

x + y = 6
14.80y + 17x = 91

Answer

x + y = 91
14.80x+ 17y = 6

Question 3

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

Accepted Answer

4x + 7y = 3365
x + y = 578

Answer

4x + 7y = 578
x + y = 3365

Answer

4y + 7x = 578
x + y = 3365

Answer

4y + 7x = 3365
x + y = 578

Question 4

What is the solution to this system?

Accepted Answer

(-2,2)

Answer

(-2, -2)

Answer

(2, -2)

Answer

(2, 2)

Question 5

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(2, 0)

Question 6

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 7

What is a solution of a linear system?

Accepted Answer

the point where the systems intersect

Answer

the slope of the line

Answer

the y-intercept

Answer

the rise over tun

Question 8

What is the solution of a linear system that has parallel lines?

Accepted Answer

No solution

Answer

One solution

Answer

Infinitely Many solutions

Question 9

What is a solution of a linear system if the lines are the same?

Accepted Answer

Infinitely Many solutions

Answer

One solution

Answer

No solution

Question 10

Solve:
-2x + 5y = -1
4x - 2y = -6

Accepted Answer

(-2, -1)

Answer

(2, 7)

Answer

(3, 1)

Answer

(-1, -2)

Question 11

Solve:
x + y = 4
-5x - 6y = -18

Accepted Answer

(6, -2)

Answer

(-6, 10)

Answer

(2, 2)

Answer

(-2, 6)

Question 12

Which image shows a system of linear equations with no solutions?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 13

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

Accepted Answer

5q + 2z = 1.32
3q + 1z = 0.75

Answer

5q + 2z = 1.32
1z = 0.75

Answer

q + z = 1.32
q + z = 0.75

Answer

5q + 2z = 0.75
3q + 1z = 1.32

Question 14

Using elimination or substitution, what is the solution to the following equations?

y = 2x + 4

x - 2y = -1

Accepted Answer

(-3, -2)

Answer

(3, -2)

Answer

(2, -3)

Answer

(-2, 3)

Question 15

Parallel Lines have how many solutions?

Accepted Answer

No Solutions

Answer

One Solution

Answer

Infinitely Many Solutions

Answer

As many solutions as you want

Question 16

Which image shows a system of linear equations with infinitely many solutions?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 17

What is the solution to this system of equations?

Accepted Answer

(4, -1)

Answer

(-1, 4)

Answer

(-4, 1)

Answer

(-4, -1)

Question 18

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

Accepted Answer

a + c = 21
6a + 4c = 104

Answer

a + c = 104
6a + 4c = 21

Answer

a + c = 21
6c + 4a = 104

Answer

a + c = 104
6c + 4a = 21

Question 19

What is the solution?

Accepted Answer

(4, 2)

Answer

(-4, 2)

Answer

(2, -4)

Answer

(2, 4)

Solving Linear Systems

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