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Worksheets

Functions and Linear Graphs

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

Given a function machine shown. Which of the following equations describes the function correctly?

a)

y=3x57y=3x-\frac{5}{7}

b)

y=3x57y=\frac{3x-5}{7}

c)

y=3(x57) y=3\left(\frac{x-5}{7}\right)\

d)

y=3x75y=\frac{3x}{7}-5

2.

Given the equation of a function y=34x5y=\frac{3}{4}x-5  


Find the value of  yy  when  x=8x=8  .

a)

 y=1y=1  

b)

 y=7y=7  

c)

 y=11y=-11  

d)

 y=1y=-1  

3.

Observe the diagram shown.

Which of the following statements is FALSE.

a)

Line A has the greatest gradient.

b)

the gradient of line C > the gradient of line D

c)

Line D has the lowest gradient

d)

The gradient of line B < the gradient of line D

4.

What are the gradient and the y-intercept of the linear graph?

a)

 m=23, c=2m=\frac{2}{3},\ c=-2  

b)

 m=53, c=2m=-\frac{5}{3},\ c=2  

c)

 m=35, c=2m=-\frac{3}{5},\ c=2  

d)

 m=32, c=2m=-\frac{3}{2},\ c=2  

5.

Observe the diagram shown.

Choose 2 CORRECT STATEMENTS that describe the graphs.

a)

Line A and Line B have the same gradient.

b)

The y-intercept of line A is -2 and line B is 0.

c)

The equation of the line B is y=3x2y=3x-2

d)

The equation of the line A is y= 13xy=\ \frac{1}{3}x

6.

The graph shows the total cost of ordering meals in a catering business.

What is the total cost of ordering 60 packs of meals?

(a)  

7.

Which of the following statements is TRUE?

a)

The higher the gradient is, the closer the line is to the x-axis

b)

The gradient of a vertical line is 9999

c)

When a line is descending, its gradient is negative.

d)

A horizontal line does not have a gradient.

8.

What is the equation of the linear graph?

a)

y=34x+2y=\frac{3}{4}x+2

b)

y=43x+2y=\frac{4}{3}x+2

c)

y=2x+34y=2x+\frac{3}{4}

d)

y=2x+43y=2x+\frac{4}{3}

9.

The graph of a function y=23x5y=\frac{2}{3}x-5 passes through a point  (9,1)\left(9,-1\right) .  

a)

TRUE

b)

FALSE

10.

Where do you have to plot a point D so that ABCD will be a PARALLELOGRAM?

a)

(3, 1)\left(-3,\ 1\right)

b)

(4, 0)\left(-4,\ 0\right)

c)

(4, 1)\left(-4,\ 1\right)

d)

(3, 0)\left(-3,\ 0\right)