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Algebra 1 Quiz 4.1 - 4.3

Total questions: 64

Worksheet time: 6hrs 16mins

Name
Class
Date
1.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
2.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
3.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
4.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
5.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
6.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

x-intercept

c)

nothing

d)

slope

7.

What is the y-intercept in the equation y=2x + 3?

a)

(0, 2)

b)

(0, 3)

c)

(0, 5)

d)

Cannot be Determined

8.

What is the y-intercept of the line?

a)

b = 1/2

b)

b = 1

c)

b = -1/2

d)

b= -1

9.

What is the y-intercept?

a)

(0, -1)

b)

(0, 3)

c)

(0, -3)

d)

(0, -2)

10.

Find the slope.

a)

m = -5/7

b)

m = 7/5

c)

m = -7/5

d)

m = 5/7

11.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
12.
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
13.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
14.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
15.
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)
16.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
17.

Which of the following is the equation of the line that has a slope of 3 and passes through the point (0, 9)?

a)

y = -3x + 12

b)

y = 3(x + 9)

c)

y = 3x + 9

d)

y = 3x - 3

18.
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)
19.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.

(4, 0); m = 7

a)

y - 4 = 7(x + 0)

b)

y - 0 = 7(x - 4)

c)

y = 7x + 4

d)

y = 7x + 0

20.

For the equation

y + 1 = -3(x - 5),

the line contains the point (5, -1) and has a slope of?

a)

m = -1

b)

m = 1

c)

m = -3

d)

m = 5

21.
What is the equation of the line that goes through the points (3,-1) and (2,-4)?
a)
y = 3x - 4
b)
y = -3x + 8
c)
y = 3x - 1
d)
y = 3x - 10
22.

What is the equation for the line that passes through the points (4, 2) and (0, 6)?

a)

y = x + 6

b)

y = -2x + 2

c)

y = -x - 6

d)

y = -x + 6

23.

Write the equation in slope intercept form that goes through (4, -1) and (0, -3).

a)

y=1/2x+3

b)

y=2x-3

c)

y=1/2x-3

d)

y=1/2x-4

24.

Write the equation in slope intercept form that goes through (1, 2) and (-2, 5).

a)

y=x+3

b)

y=-x+3

c)

y=-x+1

d)

y=3x+3

25.

Write the equation in slope intercept form that goes through f(-5) = -2 and f(0) = -1.

a)

y=1/5x-2

b)

y=1/5x+1

c)

y=1/5x+3

d)

y=1/5x-1

26.

Write the equation in slope intercept form that goes through f(0) = -5 and f(4) = 3.

a)

y=2x-5

b)

y=1/2x-5

c)

y=2x+5

d)

y=1/2x+5

27.
What is the equation for the line that passes through the points (4,2) and (0,6)?
a)
y = x + 6
b)
y = -2x + 2
c)
y = -x - 6
d)
y = -x + 6
28.
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
29.
What is the point in the following equation?
y-4 = 1/5 ( x-3)
a)
(3,4)
b)
(1/5,0)
c)
(-3,-4)
d)
(4,3)
30.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
31.

What two things do you NEED to write an equation in point-slope form?

a)

a slope and a y-intercept

b)

a slope and a x-intercept

c)

a slope and a point

d)

two points on the line

32.
Parallel lines have __________ slopes
a)
Equal
b)
Opposite
c)
Reciprocal 
d)
Total
33.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
34.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
35.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
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.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
38.

What is the slope of a line perpendicular to a line with slope -6/5 ?

a)

m = -6/5

b)

m = -5/6

c)

m = 5/6

d)

m = -4/3

39.

What is the slope of a line perpendicular to 5?

a)

m = 5

b)

m = 1/5

c)

m = -1/5

d)

m = -5

40.

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

a)

m = -10/3

b)

m = 10/3

c)

m = 3/10

d)

m = -3/10

41.

Given two points that lie on the line determine if the lines are parallel, perpendicular, or neither.

Line 1: (15, 20), (17, 18)

Line 2: (-22, -18), (-20, -16)


The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

42.

Given two points that lie on the line determine if the lines are parallel, perpendicular, or neither.

Line 1: (1, 2), (2, 3)\left(-1,\ 2\right),\ \left(2,\ 3\right)  
Line 2:  (0, 0), (3, 1)\left(0,\ 0\right),\ \left(3,\ 1\right)  
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

43.

Which two lines are parallel?

a)

Line A and Line B

b)

Line A and Line C

c)

Line B and Line C

44.

Which two lines are perpendicular?

a)

Line A and Line B

b)

Line B and Line C

c)

Line A and Line C

45.

Are the lines shown Parallel, Perpendicular, or Neither?

a)

Parallel

b)

Perpendicular

c)

Neither

46.

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the slope-intercept form be?

a)

y = 3 + 2x

b)

y = 3x + 2

c)

y = 3x + 2x

d)

y = 5x

47.

A plumber charges $50 to make a house call plus $40 for each hour worked. What is the equation and what does he make if he worked 5 hours?

a)

y = 50x + 40; $290

b)

y = 50x + 40x; $450

c)

y = 50 + 40x; $250

d)

y = 90x; $450

48.
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.
a)
y = 8.5 + 25.5
b)
y = 8.5x + 25.5
c)
y = 8.5 + 25.5x
d)
y = 8.5x + 25.5x
49.
Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week.
a)
y = 2x + 6
b)
y = 6x + 2
c)
y = 2x - 6
d)
y = 6x - 2
50.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:


f(x) = 2.75x + 4.25


What does 2.75 represent?

a)

The total cost of the fixed fee plus charge per mile

b)

The charge per mile

c)

Miles

d)

The fixed fee

e)

Karma

51.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:


f(x) = 2.75x + 4.25


What does f(x) represent?

a)

The total cost of the fixed fee plus charge per mile

b)

The charge per mile

c)

Miles

d)

The fixed fee

e)

Karma

52.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:


f(x) = 2.75x + 4.25


What does x represent?

a)

The total cost of the fixed fee plus charge per mile

b)

The charge per mile

c)

Miles

d)

The fixed fee

e)

Karma

53.

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:


f(x) = 2.75x + 4.25


What does 4.25 represent?

a)

The total cost of the fixed fee plus charge per mile

b)

The charge per mile

c)

Miles

d)

The fixed fee

e)

Karma

54.

What is the algebraic equation for the following table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

55.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
56.
What is the function of the table?
a)
y=3x+1
b)
y=4x-2
c)
y=x+1
d)
y=x+7
57.
What is the equation of the linear function?
a)
y = -3x + 10
b)
y = -3x + 16
c)
y = 3x + 10
d)
y = 3x + 16
58.
Given the table, write the equation in the slope-intercept form.
a)
y = 1/3x + 6
b)
y = 3x + 6
c)
y = 2x + 6
d)
y = 1/2x + 6
59.

What is the slope?

a)

m = -1/3

b)

m = -3

c)

m = -4

d)

m = 5

60.

What is the slope?

a)

m = 1/2

b)

m = 2

c)

m = 7

d)

m = 3

61.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

y=2x 3y=2x\ -3

b)

y=2x5y=2x-5

c)

y=2x + 1y=2x\ +\ 1

d)

y=12x+52y=-\frac{1}{2}x+\frac{5}{2}

62.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

y=12x+12y=-\frac{1}{2}x+\frac{1}{2}

b)

y=12x+2y=\frac{1}{2}x+2

c)

y=2x+7y=-2x+7

d)

y=2x+8y=-2x+8

63.

Write the equation of a line PERPENDICULAR to  y=13x9y=\frac{1}{3}x-9  that passes through the point (-6, 10).

a)

 y=13x9y=\frac{1}{3}x-9 

b)

 y=13x+10y=\frac{1}{3}x+10 

c)

 y=3x+6y=-3x+6 

d)

 y=3x8y=-3x-8 

64.

Write the equation of a line PARALLEL to 3x - y = 2 that passes through the point (1, 5).

a)

y = 3x - 14

b)

y = 3x + 2

c)

y=13x+6y=\frac{1}{3}x+6

d)

y=13x4y=\frac{1}{3}x-4