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Grade 10 End of Week 20 Assessment.

Total questions: 20

Worksheet time: 19mins

Name
Class
Date
1.
Which is the graph of y = -x + 2?
a)
A
b)
B
c)
C
d)
D
2.
What is the equation of this line?
(in the form y = mx + c)
a)
y = -3x + 2
b)
y = 2x - 3
c)
y = 2x + 3
d)
y = -2x - 3
3.

A straight line has the equation −15𝑥+3𝑦−12=0. What is the slope (gradient) of the line?

(a)  

4.

Find the slope (gradient) of the line −2𝑥+3𝑦−2=0 and the 𝑦-intercept of this line.

a)

23,1-\frac{2}{3},1  

b)

23,23\frac{2}{3},\frac{2}{3}  

c)

32,32\frac{3}{2},\frac{3}{2}  

d)

23,32-\frac{2}{3},\frac{3}{2}  

5.

Determine, the equation of the line which has a slope of 8 and a 𝑦-intercept of −4.

a)

𝑦 = 𝑥 − 4

b)

𝑦 = 8𝑥 + 4

c)

𝑦 = 8𝑥 − 4

d)

𝑦 = −4𝑥 − 8

e)

𝑦 = −4𝑥 + 8

6.

Determine the equation of the line passing through 𝐴(0,16) and 𝐵(1,−9)

a)

𝑦 = −25𝑥 − 16

b)

𝑦 = 𝑥 − 25

c)

𝑦 = 16𝑥 + 25

d)

𝑦 = 16𝑥 − 25

e)

𝑦 = −25𝑥 + 16

7.

The points in this table lie on a line. Find the equation of the line.

a)

y=57x1y=-\frac{5}{7}x-1  

b)

y=32x15y=-\frac{3}{2}x-15  

c)

y=75x57y=-\frac{7}{5}x-\frac{5}{7}  

d)

y=75x1y=-\frac{7}{5}x-1  

e)

y=57x57y=-\frac{5}{7}x-\frac{5}{7}  

8.

Which of the following graphs represents the equation 𝑦 = −5𝑥−2?

a)
b)
c)
d)
e)
9.

Write the equation represented by the graph shown. Give your answer in the form 𝑦 = 𝑚𝑥 + 𝑏.

a)

y=23x4y=\frac{2}{3}x-4  

b)

y=32x+4y=-\frac{3}{2}x+4  

c)

y=23x4y=-\frac{2}{3}x-4  

d)

y=32x4y=-\frac{3}{2}x-4  

e)

y=32x4y=\frac{3}{2}x-4  

10.

Select all the points lie on the line 𝑦 = 5𝑥 − 7?

a)

(2,-3)

b)

(2,3)

c)

(-3,-22)

d)

(-3,22)

11.

Find the equation of the line with 𝑥-intercept 3 and 𝑦-intercept 7, and calculate the area of the triangle on this line and the two coordinate axes.

a)

y=73x +7y=-\frac{7}{3}x\ +7  ,area of triangle = 10.5 square units

b)

y=37x +7y=-\frac{3}{7}x\ +7 ,area of triangle = 21 square units 

c)

y=310x 7y=\frac{3}{10}x\ -7  ,area of triangle = 10.5 square units

d)

y=73x +7y=-\frac{7}{3}x\ +7  ,area of triangle = 21 square units

12.
a)

A(3.75, 0)

B(0,5)

b)

A(3.75, 5)

B(0,5)

c)

A(0,3.75)

B(0,5)

d)

A(3.75,0)

B(5,0)

13.

The graph relates temperature y

(in degrees Fahrenheit) to altitude x

(in thousands of feet).

What is the temperature at sea level?

(write the numeric answer only, leave out the units)



(a)  

14.

A window cleaner takes 15 minutes to clean each window in a large building

they charge £9 per hour and a call-out charge of £12.

what is the payment due for cleaning 20 windows?

(write the answer only without the unit)

(a)  

15.

A window cleaner takes 15 minutes to clean each window in a large building

they charge £9 per hour and a call-out charge of £12.

For a large building, the cost of window cleaning was £129 how many windows were cleaned?

(write the answer only without the unit)

(a)  

16.

State the gradient of a line which is parallel to one of gradient
 

213\frac{2}{13}  

a)

213\frac{2}{13}  

b)

213-\frac{2}{13}  

c)

1-1  

d)

132-\frac{13}{2}  

17.

Given A ( 5, 2 ) and B ( 1, 10 ).

Find the gradient of line AB.

a)

22

b)

2-2  

c)

12\frac{1}{2}  

d)

12-\frac{1}{2}  

18.

Given A ( 5, 2 ) and B ( m, 8 ).

Find the value of m, if the gradient of line AB is  34-\frac{3}{4}  

a)

2-2

b)

3-3  

c)

4-4  

d)

5-5  

19.

If the gradient of a straight line is 2 and the y-intercept is -18, determine x-intercept.

a)

0

b)

3

c)

6

d)

9

20.

1. The straight line, P, passes through the points (0,3) and (2,5)


b. What is the y-intercept of line P

a)

0

b)

-3

c)

3

d)

2