Quiz about Solving System of Equations Pre-Test

Question 1

A system of linear equations, each equation represents a line on a graph.

Accepted Answer

True

Answer

False

Question 2

The solution to a system of linear equations is a point where the lines intersect.

Accepted Answer

True

Answer

False

Question 3

If two lines are parallel, the system of equations has infinitely many solutions.

Accepted Answer

False

Answer

True

Question 4

If two lines are perpendicular, the system of equations has one solution.

Accepted Answer

True

Answer

False

Question 5

A system of linear equations can have no solutions. two solutions, or one solutions.

Accepted Answer

False

Answer

True

Question 6

System of linear equations with 3 equations can have at most 3 solutions.

Accepted Answer

False

Answer

True

Question 7

Elimination is the method used to solve system of linear equations by adding and subtracting the equations to eliminate one variable.

Accepted Answer

True

Answer

False

Question 8

Substitution is the method used to solve system of linear equations by adding and subtracting the equations to eliminate one variable.

Accepted Answer

False

Answer

True

Question 9

An equation can only have one variable.

Accepted Answer

False

Answer

True

Question 10

If two lines are perpendicular, they have the same slope.

Accepted Answer

False

Answer

True

Question 11

How many solutions does the system of equations have?

Accepted Answer

One solution: x=1, y=4

Answer

No solution

Answer

One solution: x=0, y=5

Answer

Infinitely many solutions

Question 12

Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song. King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?

Accepted Answer

4 songs

Answer

3 songs

Answer

5 songs

Answer

6 songs

Question 13

Solve the system of equations using elimination. How many solutions does the system have?

15j + 12k = 18

5j + 4k = 6

Accepted Answer

Infinitely Many Solutions

Answer

No solutions

Answer

one solution: j=3, k=3

Answer

One solution: j= 10, k=8

Question 14

Sia sells large candles for $3 each and small candles for $2 each. She sold 17 candles for $46.00. How many of each size candle did she sell?

Accepted Answer

5 small and 12 large

Answer

4 small and 13 large

Answer

12 small and 5 large

Answer

13 small and 4 large

Question 15

A 40-question test has 108 possible points. There are
m 4-point questions and n 2-point questions. How many of each type of questions are on the test?

Accepted Answer

m = 14, n = 26

Answer

m = 19, n = 21

Answer

m = 26, n = 14

Answer

m = 21, n = 19

Question 16

How many solutions does the system of equations have?

Accepted Answer

No Solution

Answer

One solution: (0,5)

Answer

One solution: (1,4)

Answer

Infinitely many solutions

Question 17

If the system of equations 3x + 4y = 12 and 6x + 8y = 24 is solved, how many solutions will it have?

Accepted Answer

Infinitely many solutions

Answer

No solution

Answer

One solution

Answer

Two solutions

Solving System of Equations Pre-Test

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