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Two Variable Linear Equations- solve, tables & graphs

Total questions: 50

Worksheet time: 2hrs 48mins

Name
Class
Date
1.
Which axis runs up and down?
a)
x
b)
y
2.
Which axis runs horizontally?
a)
x
b)
y
3.
The coordinate (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
4.
In the coordinate (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
5.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
6.
Where is T?
a)
(-3, -2)
b)
(-2,-3)
c)
(3,2)
d)
(-3,2)
7.
What will be the last coordinate of the rectangle?
a)
(1, 3)
b)
(8, 4)
c)
(8, 3)
d)
(7, 3)
8.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
9.

Name the quadrant where POINT B is located.

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

10.

Which quadrant is letter S located?

a)

II

b)

I

c)

III

d)

IV

11.

Identify the quadrant where the point is located. (6 , 3)

a)

I

b)

II

c)

III

d)

IV

12.

Identify the quadrant where the point is located. (10 , -5)

a)

I

b)

II

c)

III

d)

IV

13.

Identify the quadrant where the point is located. (-2, 6)

a)

I

b)

II

c)

III

d)

IV

14.

Identify the quadrant where the point is located. (-9 , -6)

a)

I

b)

II

c)

III

d)

IV

15.

What quadrant is the rectangle in?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

16.

How many solutions does a Linear equation in two variable would have?

a)

Only one

b)

Two solutions

c)

Five solutions

d)

Infinity

17.

Is (3, 2) a solution of x + y = 6?

a)

yes

b)

no

c)

may be, cannot judge.

d)

none of the above

18.

Is (10, -4) a solution of x + y = 6?

a)

yes

b)

no

c)

may be, cannot judge.

d)

none of the above

19.
Is the coordinate (3,5) on the graph y=x+2?
a)
Yes
b)
No
c)
Don´t know
20.
Is the coordinate (3,-4) on the graph y=2x-2?
a)
Yes
b)
No
c)
Don´t know
21.
Which of these
co-ordinates lie on the line
y = 3x - 8?
a)
(5, 8)
b)
(0, 8)
c)
(2, -2)
d)
(1, 5)
22.
y = x - 6
What is the missing number?
a)
12
b)
10
c)
14
d)
13
23.

Find the solution of 3x-6y=(-48)

a)

2,0

b)

5,3

c)

0,8

d)

2,3

24.

Find the solutions of x + 2y = 6
[ more than one option ]

a)

(2,2)

b)

(0,3)

c)

(5,4)

d)

(4,1)

e)

(3,2)

25.

One solution of equation x - 2y = 4 is

a)

(0,2)

b)

(2,0)

c)

(4,0)

d)

(1,1)

26.

The graph of x=3 is a line

a)

Parallel to the x-axis

b)

Parallel to y-axis

c)

Data not enough

27.
The graph of the line x = 6 is a line___
a)
parallel to x -axis at a distance of 6 untis from origin
b)
parallel to y-axis at a distance of 6 units from the origin
c)
making an intercept 6 on the x-axis
d)
making an intercept 6 on both the axis
28.
The graph of the linear equation 2x + 3y = 6 cuts the y - axis at the point _____
a)
(2 ,0)
b)
(0 ,3)
c)
(3 ,0)
d)
(0, 2)
29.
Which equation matches the table?
a)
y = x 
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
30.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
31.
Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.
a)
m=50 + w
b)
w= 50m
c)
w= 50 + m
d)
m= 50 - w
32.
What is the function of the table?
a)
y=3x+1
b)
y=4x-2
c)
y=x+1
d)
y=x+7
33.
You earn $18 for every hour you work. Which equation represents this function?
a)
y=(18/2)x + 0
b)
y = 18x
c)
y = 2x + 18
d)
y = 18x + 2
34.

In this equation, what is the y-intercept?


y = 3x - 4

a)

3

b)

-4

c)

4

d)

3x

35.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(3, 0)
c)
(0, 3)
d)
None of these.
36.
What is the x-intercept for the given graph?
a)
1
b)
-2
c)
2
d)
1/2
37.
Given the list of ordered pairs, what is the x-intercept?
(8,10),  (3, -4),  (0, 8), (4, -3), (9, 0)
a)
(8,10)
b)
8, 3, 0, 4, 9
c)
(0,8)
d)
(9,0)
38.
True or false:
The y-intercept of a function ALWAYS occurs where y is equal to zero.
a)
True
b)
False
39.
True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.
a)
True
b)
False
40.
What is the x-intercept?
a)
12
b)
-3
c)
8
d)
0
41.

What is the y-intercept?

a)

12

b)

-3

c)

8

d)

0

42.

Given the list of ordered pairs, what is the y-intercept?

(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

10, -4, 8, -3, 0

c)

(0,8)

d)

(9,0)

43.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
44.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

45.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

46.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

47.

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

a)

f(x) = 21+1

b)

f(1) = 2 (1) + 1

c)

f(1) = 2x (1) + 1

48.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
49.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
50.
What rule connects the x and y values from this table?
a)
y = x + 8
b)
y = 2x + 3
c)
y = 3x - 2
d)
y = 4x - 7

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