Quiz about Systems of linear equations

Question 1

What are systems of linear equations?

Accepted Answer

a set of two or more linear equations in the same variables

Answer

a polynomial with three terms

Answer

set of two or more linear inequalities in the same variables

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

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(2, 0)

Question 4

When you graph the exact same equation twice,

Accepted Answer

you will have infinite solutions.

Answer

you will have no solution.

Answer

you will have one solution.

Answer

you will graph a giraffe.

Question 5

How many solutions will this system have?

Accepted Answer

No solution

Answer

One Solution

Answer

I Don't Know

Answer

Infinitely Many Solutions

Question 6

^{What is the solution?}

Accepted Answer

(1, -1)

Answer

1

Answer

-2

Answer

(1, 2)

Question 7

If a system of linear equations has one solution, what does this mean about the two lines?

Accepted Answer

Intersecting lines

Answer

Parallel lines

Answer

the same line

Question 8

Solve the following system of equations by graphing:

Accepted Answer

(-4, 4)

Answer

(4, -4)

Answer

no solutions

Answer

(0, 0)

Question 9

Solve the following system of equations by graphing:

Accepted Answer

(2, -2)

Answer

Infinite solutions

Answer

(1, 0)

Answer

(3, -4)

Question 10

Solve the following system of equations using the elimination method:

Accepted Answer

(-2, 1)

Answer

no solutions

Answer

(-2, 0)

Answer

(-1, -3)

Question 11

Solve the following system of equations using the elimination method.

Accepted Answer

no solutions

Answer

infinite solutions

Answer

(0, -2)

Answer

(0, 2)

Question 12

How many solutions does this system of equations have?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Answer

Two Solutions

Question 13

Solve for x and y
3x + 2y = 16
7x + y = 19

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Answer

(2,-5)

Question 14

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

Accepted Answer

(3,-7)

Answer

(-3, -25)

Answer

(11, 17)

Answer

(21, 47)

Question 15

Which of the following shows the solution to the system?
y= -1/4x + 4
y = 2x + 2

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 16

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

Accepted Answer

t: Cost of each taco

m: Cost of each glass of milk

Answer

t: # of tacos

m: # of glasses of milk

Answer

t: total cost

m: # of food items

Answer

t: Cost of each glass of milk

m: Cost of each taco

Question 17

Solve by elimination:
3x+7y=23

-3x-7y=-17

Accepted Answer

No solution

Answer

ARN

Answer

(-3,3)

Answer

(3,3)

Question 18

Solve by graphing:
y=5x+3

y=-2x-4

Accepted Answer

(-1,-2)

Answer

(2,-1)

Answer

(1,-2)

Answer

(-2,-1)

Question 19

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

Systems of linear equations

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