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Y10 Linear Review

Total questions: 57

Worksheet time: 1hrs 14mins

Name
Class
Date
1.

Calculate the gradient of the line drawn below. (a)  

Choose from the below words
Gradient=3
Gradient=2
Gradient=-2
Gradient=-3
2.

Find the gradient of the line that passes through (3,4) and (2,2).

3.

Find the gradient .

a)

Gradient=3

b)

Gradient=-3

c)

Gradient=9

d)

Gradient=7

4.

Which of the following is the graph of the equation y=2x-5.

a)
b)
c)
d)
5.

Find the gradient of the line below.

a)

Gradient=1

b)

Gradient=-1

c)

Gradient=4

d)

Gradient=-4

6.

What slope is represented here

a)

negative

b)

zero

c)

undefined

d)

positive

7.

What is the gradient of the line parallel to the x-axis

a)

0

b)

undefined

c)

+1

d)

-1

8.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
9.

Determine the slope. (a)  

Choose from the below words
m=1/7
m=-1/7
m=-7
m=7
10.

Find the Gradient of the slope

a)

0.5

b)

-0.5

c)

2

d)

-2

11.

State the value of the x - intercept and the value of y - intercept of the straight line AB.


y intercept = _

x intercept = _

(a)  

12.

Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)

a)

(-1,0)

b)

(4,9)

c)

(6,7)

d)

(7,9)

13.

Find the midpoint of the segment on the graph. (Hover over picture to expand)

a)

(1,0)

b)

(7,-9)

c)

(4,-3)

d)

(-1,2)

14.

Find the midpoint of the segment on the graph. (Hover over picture to expand)

a)

(1,1)

b)

(-1,-1)

c)

(0,-2)

d)

(-4,-4)

15.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
16.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
17.

Which is the correct equation of a straight line?

a)

y = cx + m

b)

y = mc + x

c)

y = mx + c

d)

x = ym + c

18.

What letter to we use for gradient?

a)

g

b)

s

c)

m

d)

c

19.

What letter do we use for y-intercept?

a)

y

b)

m

c)

c

d)

x

20.

What is the gradient of the line y = 2x + 6?

a)

2

b)

-2

c)

6

d)

12\frac{1}{2}

21.

What is the y-intercept of the line y = 3x - 4

a)

3

b)

4

c)

-4

d)

−13-\frac{1}{3}

22.

What is m in the equation y = 2x - 6?

a)

-2

b)

2

c)

6

d)

-6

23.

What is the gradient of the line y = -4x + 1?

a)

-4

b)

4

c)

-1

d)

1

24.

What is the y-intercept of the line y = 5x - 10?

a)

10

b)

5

c)

-10

d)

-5

25.

In the equation of the line y = 4x + 5, what does the 5 represent?

a)

x-coordinate

b)

gradient

c)

y-intercept

d)

slope

26.

Which of these lines would be the steepest?

a)

y = 2x + 4

b)

y = 3x + 3

c)

y = 7x + 2

d)

y = 4x + 9

27.

What would 2y = 4x + 6 be in the form y = mx + c?

a)

y = 4x + 6

b)

2y = 2x + 3

c)

y = 2x + 3

d)

y = 4x + 4

28.

What is the gradient of this equation?

y = 3x - 4

a)

3

b)

-4

c)

3x

d)

4

29.

Calculate the gradient.

a)

m= -2

b)

m=-1/2

c)

m=2

d)

m=1/2

30.

When calculating the gradient we....

a)

Run / Rise

b)

Rise / Run

c)

(rise, run)

d)

Run far away.

31.

What does the gradient represent in this situation?

a)

The sloth runs 1 feet in 3 minutes

b)

The sloth runs 3 feet in 1 minute

c)

The sloth runs fast

d)

The sloth runs 6 feet in 1 minute

32.

Line AB is ____ to Line DC

a)

parallel

b)

perpendicular

c)

Intersecting

33.

Choose the most precise answer: These roads are

a)

Intersecting

b)

Perpendicular

c)

Parallel

34.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
35.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
36.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
37.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
38.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

39.

What is the slope of a line perpendicular to -10/3

a)

-10/3

b)

10/3

c)

3/10

d)

-3/10

40.
Which figure shows a set of perpendicular lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
41.

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

a)

YES

b)

NO

42.
Are these lines parallel?
y = 12x + 4
y = 12x +14
a)
YES
b)
NO
43.
Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12
a)
YES
b)
NO
44.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(3, 0)
c)
(0, 3)
d)
None of these.
45.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(4, -2)
c)
(4, 0)
d)
(0, 4)
46.
What is the y-intercept of the line graphed below?
a)
3
b)
4
c)
-3
d)
4/3
47.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
48.
What is the x-intercept for the given graph?
a)
1
b)
-2
c)
2
d)
1/2
49.
From the equation y = 3x + 18,  what is the value of the x-intercept?
a)
-6
b)
6
c)
18
d)
3
50.
What is the x-intercept shown on the graph?
a)
(2, 0)
b)
(-2, 0)
c)
(0, 3)
d)
(3, 0)
51.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(3, 0)
c)
(0, 3)
d)
None of these.
52.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
53.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
54.
which table  is created from the equation..
y = -5x + 1?  
a)
graph a
b)
graph b
c)
graph c
d)
graph d
55.
What is the y-intercept?
a)
1/2
b)
2
c)
7
d)
3
56.
What is the meaning of the y-intercept?
a)
The cost per ride is $1.75
b)
The cost per ride is $5
c)
The cost to get into the fair is $5
d)
The cost to get into the fair is $1.75
57.

What is the y - intercept of the equation?

a)

4/3

b)

1

c)

3

d)

0

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