Free Printable Math Systems

1.

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

a)

yes

b)

no

2.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

3.

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

a)

Parallel lines

b)

the same line

c)

Intersecting lines

4.

Does the following system have One Solution, No Solution, or Infinite Solutions.
y = 4x + 8
y = -5x + 3

a)

One solution

b)

No solution

c)

Infinite solution

5.

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

a)

4y = 3x + 64

8y = x + 68

b)

4y = 3x + 64

8y = x + 60

c)

3x + 4y = 64

x + 8y = 68

d)

3x + 4y = 64

x + 8y = 60

6.

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $68 for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

a)

4y = 3x + 64

8y = x + 68

b)

4y = 3x + 64

8y = x + 60

c)

3x + 4y = 64

x + 8y = 68

d)

3x + 4y = 64

x + 8y = 60

7.

Two linear equations with the same set of variables

a)

system of equations

b)

function

c)

association

d)

correlation

8.

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

a)

4y = 3x + 64

8y = x + 68

b)

4y = 3x + 64

8y = x + 60

c)

3x + 4y = 64

x + 8y = 68

d)

3x + 4y = 64

x + 8y = 60

9.

What is the solution to the system of equations?

a)

(-1, -3)

b)

(3, 1)

c)

(1, 3)

d)

(-3, -1)

10.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

11.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

12.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

13.

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-1, 4)

b)

(1, -4)

c)

(-4, 1)

d)

(4, -1)

14.

Using Substitution, solve for the following system of linear equations: $y=2x+1$ $y=-x+16$

a)

(3,-7)

b)

No solutions

c)

Infinitely many solutions

d)

(5,11)

15.

Using Substitution, solve for the following system of linear equations: $y=3x$ $2x-3y=14$

a)

No solution

b)

Infinitely many solutions

c)

(-3,7)

d)

(-2,-6)

16.

Using Substitution, solve for the following system of linear equations: $y=x+3$ $y=-2x-3$

a)

No solution

b)

(-3,-3)

c)

Infinitely many solutions

d)

(-2,1)

17.

Is the point (2, -1) a solution to the systems of equations below?

a)

Yes

b)

No

18.

Will the solution (-3, -7) make the following system of equations a true statement?
y = 4x + 5
y = x – 4

a)

YES

b)

NO

19.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

20.

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

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

Math Systems

Total questions: 20

Worksheet time: 20mins

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