Quiz about College Algebra Midterm

Question 1

In the equation, y = mx + b, the letter b is the ___________.

Accepted Answer

y-intercept

Answer

x-intercept

Answer

slope

Answer

rate of change

Question 2

What is the simple definition of slope?

Accepted Answer

rise/run

Answer

line

Answer

run/rise

Answer

undefinied

Question 3

Find the slope of the line that passes through the points (2, 4) and (6, 12)

Accepted Answer

2

Answer

1/2

Answer

-1/2

Answer

-2

Question 4

What is the slope of the equation?
y = -3x + 4

Accepted Answer

-3

Answer

3

Answer

4

Answer

-4

Question 5

What type of slope does the following graph have?

Accepted Answer

Negative

Answer

Postive

Answer

Zero Slope

Answer

Undefined

Question 6

Find the slope

Accepted Answer

-5/3

Answer

-3/5

Answer

5/3

Answer

3/5

Question 7

Consider the equation:
y=-x+4
Identify the slope and y-intercept.

Accepted Answer

m=-1, b=4

Answer

m=4, b=-x

Answer

m=-x, b=4

Answer

m=1, b=4

Question 8

How would you write the equation with a slope of 2/3 and a y-intercept of -3

Accepted Answer

y=2/3x-3

Answer

y=3/2x+3

Answer

y=2/3-3

Question 9

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

Accepted Answer

C = 0.20x + 15

Answer

C =15 (0.20x)

Answer

C = 15 + x + 0.20

Answer

C = 0.20 + 15x

Question 10

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

Accepted Answer

C = 2h + 15

Answer

h = 2C + 15

Answer

C = 15h + 2

Answer

h = 15C + 2

Question 11

Bob has $150 in his savings account and saves $40 per month. Which function models his savings?

Accepted Answer

y = 40x + 150

Answer

y = 150 + 40

Answer

y = 150x + 40

Question 12

Write a rule:  A plumber charges $50 for a house call plus $12 per hour for labor.

Accepted Answer

y = 50 + 12 x

Answer

y = 50 x + 12

Answer

y = 62 x

Answer

x = 50 + 12y

Question 13

Write a rule :  Miles has joined a weight loss program.  His weight is 225 lbs and he is losing weight at a rate of 3 lbs per week.

Accepted Answer

y = 225 - 3x

Answer

y = 222 x

Answer

y = 225 + 3 x

Answer

y=225x - 3

Question 14

What equation does the table represent?

Accepted Answer

y=x+1

Answer

y=x-1

Answer

y=2x+1

Answer

y=2x-1

Question 15

Which equation matches the table?

Accepted Answer

y=x+2

Answer

y=2x

Answer

y=x-3

Answer

y=1/2x

Question 16

Writing Equations:
Given the following table, write the linear equation.

Accepted Answer

y = 3x + 9

Answer

y = 9x + 3

Answer

y = 3x + 12

Answer

y = 1x + 12

Question 17

Which is the graph of y=-x+2?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 18

Find the slope of the line.

Accepted Answer

1/2

Answer

-1/2

Answer

2

Answer

-2

Question 19

What is the equation for this graph?

Accepted Answer

y=-1x+0

Answer

y=1/2x+0

Answer

y=2x+0

Answer

y=-2x+0

Question 20

Which equation is being represented by this line?

Accepted Answer

y = -1x + 2

Answer

y = 1/2x + 2

Answer

y = 3x -4

Answer

y = -3x +2

Question 21

Which equation is being represented by this line?

Accepted Answer

y = -1x + 2

Answer

y = 1/2x + 2

Answer

y = 3x -4

Answer

y = -3x +2

Question 22

Which equation best represents the line on the graph?

Accepted Answer

y= 1/2x

Answer

y= -1/2x

Answer

y = 2x

Answer

y = -2x

Question 23

Which equation represents the graph?

Accepted Answer

x = 2

Answer

y = 2

Answer

y = 2x

Answer

y = undefined

Question 24

(2i)(3i)

Accepted Answer

-6

Answer

5i

Answer

-5

Answer

6i

Question 25

(5-2i) + (-7+8i)

Accepted Answer

-2+6i

Answer

12+6i

Answer

-35-16i2

Answer

-35 -16i

Question 26

Simplify:
(10+ 15i) - (48 - 30i)

Accepted Answer

-38 + 45i

Answer

58 - 45i

Answer

58 - 15i

Answer

-38 - 15i

Question 27

Find the product
(1+3i)(2-i)

Accepted Answer

5+5i

Answer

5-5i

Answer

2-3i

Answer

5+7i

Question 28

(6+i)(-3+6i)

Accepted Answer

-24+6i

Answer

3+7i

Answer

-18+6i

Answer

-18+12i

Question 29

(3+4i)(-8-i)

Accepted Answer

-20-36i

Answer

-5+3i

Answer

-24-4i

Answer

-24-4i2

Answer

-20

Question 30

Find the sum.
(5-2i) + (-7+8i)

Accepted Answer

-2+6i

Answer

12+6i

Answer

-35-16i2

Answer

-35 -16i

Question 31

What is the conjugate of 2 - 7i ?

Accepted Answer

2 + 7i

Answer

7 + 2i

Answer

-2 - 7i

Answer

-2 + 7i

Question 32

Refer to the above image, what is the conjugate of the denominator?

Accepted Answer

1 - 5i

Answer

-1 + 5i

Answer

1 + 5i

Answer

-1 - 5i

Question 33

Solve the above complex number in the form of a+bi

Accepted Answer

-4/5 - (7/5)i

Answer

4/5 + (7/5)i

Answer

-4/5 - 7/5i

Answer

4/5 - (7/5)i

Question 34

What is the simplified form of the above?

Accepted Answer

7/10 + 11/10 i

Answer

13/10 +1/10 i

Answer

5/4 - 3/2i

Answer

7/10 - 11/10 i

Question 35

Simplify

Accepted Answer

(1+50i)/61

Answer

(-10+6i)/17

Answer

(-23+36i)/25

Answer

(-21+33i)/34

Question 36

Slopes of parallel lines are...

Accepted Answer

the same.

Answer

opposite reciprocals.

Answer

opposites.

Answer

always 7.

Question 37

Slopes of perpendicular lines are...

Accepted Answer

opposite reciprocals.

Answer

opposites.

Answer

identical.

Answer

always 7.

Question 38

What slope is parallel to:
m = 3/4

Accepted Answer

3/4

Answer

4/3

Answer

-3/4

Answer

-4/3

Question 39

What is the slope of a line perpendicular to 5?

Accepted Answer

-1/5

Answer

5

Answer

1/5

Answer

-5

Question 40

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

Accepted Answer

NO

Answer

YES

Question 41

Are these lines parallel?
y = 12x + 4
y = 12x +14

Accepted Answer

YES

Answer

NO

Question 42

Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12

Accepted Answer

YES

Answer

NO

Question 43

Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)

Accepted Answer

y = 1/5x - 3

Answer

y = -3x + 1/5

Answer

y = -3x - 1/5

Answer

y = -1/5x - 3

Question 44

Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)

Accepted Answer

y = 1/5x - 3

Answer

y = -3x + 1/5

Answer

y = -3x - 1/5

Answer

y = -1/5x - 3

Question 45

Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

Accepted Answer

y = (-3/5)x + 2

Answer

y = (-3/5)x -2

Answer

y = (3/5)x + 2

Answer

y = (5/3) + 2

College Algebra Midterm

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