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Writing linear equations test review

Total questions: 65

Worksheet time: 2hrs 9mins

Name
Class
Date
1.
In the equation y=mx+b,
what does m represent?
a)
Nothing in particular
b)
The y-intercept
c)
The x-intercept
d)
Slope
2.
Name the slope
a)
3
b)
1
c)
-1x
d)
-1
3.
Name the y intercept
a)
-1
b)
7
c)
-1x
d)
-7
4.
Name the y intercept
a)
4
b)
-1
c)
1
d)
-4
5.
Name the slope
a)
3
b)
Zero slope
c)
Undefined
d)
1
6.
Name the slope
a)
Negative
b)
0 Slope
c)
Undefined
d)
Positive
7.
Name the slope
a)
7/1
b)
3/4
c)
-3/4
d)
-7/1
8.
Name the correct equation
a)
y=x+7
b)
y=-x
c)
y=x
d)
y=-x-7
9.
Name the slope
a)
2
b)
-2
c)
1/2
d)
1/2x
10.
Name the equation that is represented by the graph.
a)
y=2x+4
b)
y=-2x+4
c)
y=2x-4
d)
y=-2x-4
11.
Name the slope.
a)
Zero slope
b)
1
c)
Undefined
d)
-1
12.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
13.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
14.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
15.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
16.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
17.

Find the slope of a line that passes through the given points:

(5,1) and (8,3)

a)

23\frac{2}{3}

b)

23\frac{-2}{3}

c)

32\frac{3}{-2}

d)

32\frac{3}{2}

18.

Find the slope of a line that passes through the given points:
(1,1) and (3,4)

a)

23\frac{2}{3}

b)

23\frac{-2}{3}

c)

32\frac{3}{-2}

d)

32\frac{3}{2}

19.

Find the slope of a line that passes through the given points:
(6,3) and (1,4)

a)

 15\frac{1}{5} 

b)

 15\frac{-1}{5} 

c)

 5-5 

d)

 11 

20.

Find the slope of a line that passes through the given points:
(2,-2) and (5,7)

a)

 13\frac{1}{3} 

b)

 13\frac{-1}{3} 

c)

 33 

d)

 3-3 

21.

Find the slope of a line that passes through the given points:
(1,-6) and (9,-8)

a)

 14\frac{1}{-4} 

b)

 14\frac{-1}{-4} 

c)

 4-4 

d)

 44 

22.

Find the slope of a line that passes through the given points:
(0,-3) and (-2,7)

a)

 15\frac{1}{-5} 

b)

 15\frac{-1}{5} 

c)

 5-5 

d)

 51\frac{-5}{-1} 

23.

Find the slope of a line that passes through the given points:
(2,8) and (0,3)

a)

 UndefinedUndefined 

b)

 25\frac{-2}{5} 

c)

 00 

d)

 52\frac{-5}{-2} 

24.

Find the slope of a line that passes through the given points:
(-6,4) and (-6,8)

a)

 UndefinedUndefined 

b)

 44 

c)

 00 

d)

 14\frac{1}{4} 

25.

The slope of a horizontal line is:

a)

Undefined

b)

0

c)

Parallel to the y-axis

d)

1

26.
Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3
a)
y - 5 = -3(x - 10)
b)
y= -3x + 35
c)
y + 5= -3(x + 10)
d)
y= -3x - 35
27.
Write an equation  
m = 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
28.
For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
29.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
30.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
31.

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

32.

What is y intercept of the equation y - 3 = 4(x - 0)

a)

4

b)

-3

c)

3

d)

-4

33.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y+ 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
34.
Write an equation  
m = 5/4 through (-4, -3)
a)
y = 5/4x +2
b)
y = -5/4x + 2
c)
y = 2x - 5/4
d)
y = 3/4x + 2
35.
Write an equation  
m = 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
36.
What is the y-intercept of the line?
a)
 (0,1/2)
b)
(0,1)
c)
(0, -1/2)
d)
(0, -1)
37.
What is the x- intercept of the line?
a)
(1, 0)
b)
(2, 0)
c)
( -1, 0)
d)
(-2, 0)
38.
Which ordered pair could represent a y-intercept on a graph?
a)
(6, 0)
b)
(0, 4)
c)
(-1, 3)
d)
(2, 0)
39.
Give the y-interecept
3x + y = 5
a)
(-3, 0)
b)
(0,5)
c)
(5, 0)
d)
(0, -3)
40.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
41.
What is the y-intercept in the equation x + 2y = 4
a)
(0, 0)
b)
(0, 2)
c)
(4, 0)
d)
(2, 0)
42.
What is the x and y intercept for the following equation ?
4x - 10y = 20
a)
x - int = 4    
y-int = -10
b)
x-int = 5
y-int = 2
c)
x - int = 5
y int = -2
d)
x -int = 4
y -int = -10
43.
What is the x-intercept for the given graph?
a)
1
b)
-2
c)
2
d)
1/2
44.
What is the y-intercept of the line graphed below?
a)
3
b)
4
c)
-3
d)
4/3
45.

Identify the x-intercept of the graph.

a)

(-4, 0)

b)

(0, -2)

c)

(0, -4)

d)

(-2, 0

46.

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

a)
b)
c)
d)
47.

Identify the graph with a x-intercept of -2 and y-intercept of 2

a)
b)
c)
d)
48.

what is the first step to solve for slope intercept form on

-x + 4y = 11

a)

subtract 11 from both sides

b)

add x to both sides

c)

subtract x from both sides

d)

put in th y=

49.

which of the following is the best first step to solve for y = mx +b? equation is -2x - 4y = -12

a)

add 4y to both sides

b)

subtract 2x from both sides

c)

add 2x to both sides

d)

divide by -4

50.

what is the last step to finish solving for y= mx+ b for the equation 3y = -5x + 10

a)

divide everything by - 3

b)

subtract 3y from both sides

c)

divide everything by 3

d)

add 3y from both sides

51.

what is the slope of the following 12x - 6y = 30

a)

2

b)

-2

c)

12

d)

-12

52.

what is the slope for the following equation 9x + 2y = 9

a)

-2/9

b)

-9/2

c)

-9

d)

9

53.

what is the slope of y = 4 - 6x

a)

4

b)

6

c)

-6

d)

-4

54.

what is the slope intercept form of 9x - y = 9

a)

y = 9x

b)

f(x) = 9x - 9

c)

f(x) = -9x + 9

d)

y = 9

55.

what is the slope intercept form for the equation -2x + 8y = 2

a)

y = -2x + 8

b)

y = 1/4x + 1/4

c)

y = -1/4x - 1/4x

d)

y = 2/8x + 4

56.

Write the equation that represents this word problem:


Marsha gets a job that pays $15 per hour, and she started the week with $20

a)

y= 15x + 20

b)

y= 20x + 15

c)

y= 15 + 20

d)

y= 20 + 15

e)

Answer Not Here

57.

Write the equation that represents this word problem:


Miles makes tacos at a restaurant. He has already made 8 tacos, and can make 3 tacos per minute.

a)

y= 8x + 3x

b)

y= 3x + 8

c)

y= 8x + 3

d)

y= 3 + 8

e)

Answer Not Here

58.

Write the equation that represents this word problem:


Nora owes her parents $400 for a computer, so she babysits for $10 per hour.

a)

y= 10x + 400

b)

y= -10x - 400

c)

y=10x - 400

d)

y= -10x + 400

e)

Answer Not Here

59.

Write the equation that represents this word problem:


Nicholas received $100 for his birthday. He decides to spend $20 per day on whatever he wants.

a)

y= 20x + 100

b)

y= -20x - 100

c)

y= 20x - 100

d)

y= -20x + 100

e)

Answer Not Here

60.

Write the equation that represents this word problem:


Olivia runs every day after school. She has already run 4 miles, and she can run one mile per hour.

a)

y= x + 4

b)

y= -x + 4

c)

y= 4x + 1

d)

y= 4x - 1

e)

Answer Not Here

61.

Amy wants to buy soda AND pizza for her Halloween party. She has $45 to spend. One case of soda costs $4, and one pizza costs $8. Write an equation that could be used to find a valid combination for many pizzas and cases of soda can she afford.

a)

4x + 8y = 12

b)

4x - 8y = 45

c)

12xy = 45

d)

4x + 8y = 45

62.

Juan is selling shirts for a fund raiser. Short sleeve shirts (x) cost $15 each and long sleeve shirts (y) cost $20 each. His goal is to raise $400 so his club can go on a field trip. Juan uses the equation below to represent his situation.


15x + 20y = 400


What does the x-intercept represent?

a)

The number of short sleeve shirts Juan must sell if he does not sell any long sleeve shirts.

b)

The number of long sleeve shirts Juan must sell if he does not sell any short sleeve shirts.

c)

The lowest number of shirts Juan could possibly sell.

d)

The total number of short sleeve and long sleeve shirts Juan sells.

63.

Karissa earns $200 per week plus $25 per item she sells. Which form of a linear equation would best represent the relationship between the number of items she sells (x) and her pay per week (y)?

a)

Standard Form

b)

Slope Intercept Form

c)

Point Slope Form

d)

None of the above

64.

You have only nickels (x) and dimes (y) in your piggy bank. When you ran the coins through a change counter, it indicated you have 595 cents. Write an equation to represent this situation.

a)

5x + 10y = 595

b)

10x + 5y = 595

c)

.05x + .10y = 595

d)

y = 2x + 595

65.

Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks and ties on sale for $4 and $11, respectively. What form of a linear equation would best represent this situation?

a)

Standard Form

b)

Point-Slope Form

c)

Slope-Intercept Form

d)

None of the above