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Worksheets

LETV _ Form and graph

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.
The equation y = 3x + 5 has _____
a)
A unique solution 
b)
Only two solutions
c)
Three solutions 
d)
Infinitely many solutions 
2.
The equation x = 7 in two variables can be written as ____
a)
 1.x + 1 .y = 7
b)
1.x + 0.y = 7
c)
0.x + 1. y = 7
d)
0.x + 0.y = 7
3.
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
4.
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation____
a)
Changes
b)
Remains the same 
c)
Changes in case of multiplication only
d)
Changes in case of division only
5.
The graph of ax + by + c = 0 is _____
a)
A straight line parallel to x - axis
b)
A straight line parallel to y - axis 
c)
A general straight line
d)
A line in the 2nd and 3rd quadrant
6.
The graph of the linear equation in two variables y = mx is _____
a)
a line parallel to x - axis 
b)
a line parallel to y - axis 
c)
a line passes through the origin
d)
not a straight line
7.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
8.

The geometrical representation of a linear equation

a)

Straight line

b)

Curve

c)

Parabola

d)

Either (b) or (c)

9.
Which equation is written in STANDARD form?
a)
y = 1/2x + 2
b)
y - 3 = -5(x + 2)
c)
-7x + 2y = 9
d)
3x + 2 = y
10.
Write an equation in Standard Form.
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.
a)
2x + 5y = 120
b)
12x + 15y = 120
c)
12 + 15y = 2x
d)
12x + 15 = 120
11.

Which of the following expressions is a linear expression in one variable?

a)

x2 + 1

b)

x + 2y

c)

x3

d)

7x + 5

12.

Which of the following options is the standard form of the linear equation 7x – 21 + 2y = 0?

a)

21 + 2y + 7x = 0

b)

2y + 7x – 21 = 0

c)

7x – 21 + 2y = 0

d)

7x + 2y – 21 = 0

13.
What is the formula for standard form?
a)
y=mx+b
b)
y-y1=m(x-x1)
c)
Ax+By=C
d)
rise÷run
14.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

7x + 2y = 9

d)

3x + 2 = y

15.

What is the y-intercept of the line on the graph?

a)

(-3, 0)

b)

(0, 4)

c)

(0, -3)

d)

(4, 0)

16.

If 2x + 4 = x - 5, then x = ______

a)

9

b)

-9

c)

1

d)

-1

17.

Charlie is starting a savings account. He has saved $40 and he earns $7.50 per hour. Write an equation for the amount Charlie saves.

a)

40+7.50x=y40+7.50x=y

b)

40x+7.50=y40x+7.50=y

c)

40+7.50=y40+7.50=y

d)

40+17.50x=y40+17.50x=y

18.

The 30 members of a choir are trying to raise money to cover travel costs to a singing camp. They have already raised $600. Which equation would you solve to find the average amount each member can raise in order to meet the goal?

a)

30x+600=y30x+600=y

b)

30x600=y30x-600=y

c)

x+600=30yx+600=30y

d)

30x=600y30x=600y

19.

Maggie buys a Chromebook for $200. It decreases in value each month by $20. Write an equation for the total value of the Chromebook.

a)


 20x+200=y20x+200=y  

b)

 20x200=y20x-200=y  

c)

 200+20x=y200+20x=y  

d)

 20020x=y200-20x=y  

20.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
21.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
22.

The slope of the green line

a)

1

b)

-2

c)

2

d)

-1

23.

Choose the graph that which represents the equation y=5x+4

a)
b)
c)
d)
24.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
25.
Solve: 3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5