wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Linear Stuff

Total questions: 17

Worksheet time: 16mins

Name
Class
Date
1.

 2x+7=132x+7=13  Solve for x.

a)

-3

b)

3

c)

10

d)

-10

2.

Solve for x:

 x+34=2\frac{x+3}{4}=2  

a)

1

b)

-1

c)

-5

d)

5

3.

Tick all the linear equations

a)

x+1=2

b)

x21=0x^2-1=0

c)

x12=5\frac{x-1}{2}=5

d)

2x=3\frac{2}{x}=3

4.

The number line illustrates the inequality:

a)

x>2x>-2

b)

x2x\ge-2

c)

x<2x<-2

d)

x2x\le-2

5.

The inequality that best describes the number line is:

a)

 x0, x<4x\ge0,\ x<4  

b)

 4<x04<x\le0  

c)

 0x<40\le x<4  

d)

 0<x40<x\le4  

6.

The equation of the line is 

a)

 x=4x=4  

b)

 x=4x=-4  

c)

 y=4y=4  

d)

 y=4y=-4  

7.

On which line does the point lie?

 (2,7)\left(-2,7\right)  

a)

 y=5xy=5x  

b)

 y=3x+1y=-3x+1  

c)

 2x+2y=12x+2y=1  

d)

 2y=3x12y=3x-1  

8.

The graph shows the line

a)

y=xy=-x

b)

y=2xy=2x

c)

y=2xy=-2x

d)


y=xy=x

9.

The x and y intercepts of

 2y+x=52y+x=5  are 

a)

(0,5) and (2.5, 0) respectively

b)

(5,0) and (0, 2.5) respectively

c)

(0, 2.5) and (5, 0) respectively

10.

The gradient of the line is

a)

4

b)

2

c)

1

d)

-2

11.

The equation of the line is

a)

y = 2

b)

x = 2

c)

x = 2

d)

x = 2

12.

The gradient of the line is

a)

0

b)

undefined

c)

0.2

d)

infinity

13.

Find the value of "c" in

 y=2x+cy=-2x+c  when x=3 and y=2

a)

 8-8  

b)

 6-6  

c)

8

d)

6

14.

The midpoint of the line segment joining

 (3,5) and (2, 8)\left(-3,-5\right)\ and\ \left(2,\ 8\right)  

a)

 (12, 12)\left(\frac{1}{2},\ \frac{1}{2}\right)  

b)

 (1,3)\left(-1,3\right)  

c)

 (12, 32)\left(-\frac{1}{2},\ \frac{3}{2}\right)  

d)

 (52,32)\left(-\frac{5}{2},\frac{3}{2}\right)  

15.

Find the distance between the points (0,2) and (1,7).

a)

26

b)

82

c)

26\sqrt{26}

d)

82\sqrt{82}

16.

Tick all that is true.

a)

Parallel lines have the same gradient.

b)

Parallel lines are perpendicular.

c)

Parallel lines never meet.

d)

Parallel lines have different y-intercepts.

17.

The gradient of the line that is perpendicular to

 2y=4x12y=4x-1  is

a)

 14-\frac{1}{4}  

b)

4

c)

 12-\frac{1}{2}  

d)

2