Free Printable Graph One Variable Equations

1.

How many solutions does the graph have?

a)

One solution

b)

No solution

c)

Infinite solutions

2.

The graph below represents the cost, y, based on the amount of cakes bought, x.

Which equation represents the situation?

a)

y = 20x

b)

y = 15x

c)

y = x

d)

y = 3/2 x

3.

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.

4.

Label each line with the correct equation.

$f\left(x\right)=-\frac{1}{2}x-2$

$f\left(x\right)=3x+2$

$f\left(x\right)=-x$

$f\left(x\right)=2x-3$

$f\left(x\right)=-\frac{1}{2}x-3$

$f\left(x\right)=\frac{3}{2}x+2$

$f\left(x\right)=-2x+1$

d

e

f

g

d)

e)

f)

g)

5.

The graph of a line is shown. What are the equation and slope of the line? Move the correct answer to each box. Not all answers will be used.

Equation: (a)

Slope: (b)

Choose from the below words

y = -4

zero

y = 4x

x = -4

undefined

6.

The relationship between the number of minutes a child does math problems and the amount of math problems the child completes is y = 2x

Graph three points that follow this rule. (Hint: There are 5 possible points you could plot.)

A

B

C

D

E

F

G

H

I

J

7.

Graph the line that represents the equation y=3x-5 by placing 2 points on the line.

8.

Nate had a collection of 90 comic books. He gave away 5 per week.

Which three points lie on the line that best represents this situation between the number of comic books, y, and the number of weeks, x?

A

B

C

D

E

F

G

H

9.

Complete the graph for the equation y=3x. Choose three points.

A

B

C

D

E

F

G

H

I

10.

The graph of a line is shown. What are the equation and the slope of the line?

Equation: (a)

Slope: (b)

Choose from the below words

$y=2$

$0$

$x=2$

$y=2x$

$2$

$undefined$

11.

Graph the line that represents the equation

y= $-\frac{2}{3}$ x + 1 by placing 2 points on the line.

12.

James buys 4 pens for $3. Which three points lie on the line that best represents the total cost, y, of x pens?

Shade the THREE correct circles that represent the points.

A

B

C

D

E

F

13.

How many solutions does this system of equations have?

a)

One solution

b)

Infinitely many solutions

c)

No solutions

d)

Two solutions

Graph One Variable Equations

Total questions: 13

Worksheet time: 13mins

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