Quiz about Algebra 1 -- Midterm Practice

Question 1

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 2

Find the slope of the line that passes through:
(6,7) and (4,2)

Accepted Answer

5/2

Answer

2/5

Answer

-5/2

Answer

-1/2

Question 3

Solve for a.

Accepted Answer

a = w/p

Answer

a = pw

Answer

a = p/w

Answer

a = w + p

Question 4

Solve for x:

Accepted Answer

x = by + v

Answer

x = yb - v

Answer

x = by - v

Question 5

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 8 = 3(x - 4) + 1

Accepted Answer

no solutions

Answer

one

Answer

infinite solutions

Question 6

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2

Accepted Answer

infinite solutions

Answer

one

Answer

no solutions

Question 7

Is this a function?

Accepted Answer

Function

Answer

Not a Function

Question 8

For the function f(x) = -3x + 3 find f(0).

Accepted Answer

3

Answer

0

Answer

-3

Answer

-1

Question 9

Fill in the table of values given the function rule: y = -x+3

Accepted Answer

4, 3, 2, 1

Answer

2, 3, 4, 5

Answer

1, 0, -1, -2

Answer

3, 0, -3, -6

Question 10

Solve the literal equation for y:

8x - 2y = 12

Accepted Answer

y = 4x - 6

Answer

y = -4x + 6

Answer

y = -8x + 12

Answer

y = 8x - 6

Question 11

Solve:

4x + 1 + 10x + 7 = 2(7x - 4)

Accepted Answer

No Solution

Answer

All real numbers

Answer

x = -2

Answer

x = 2

Question 12

Write the function rule given the table.

Accepted Answer

f(x) = 6x + 11

Answer

f(x)=11x - 6

Answer

f(x) = 6x + 5

Answer

f(x) = 11x + 5

Question 13

If f(x) = 4x²- 5

find f(-3)

Accepted Answer

31

Answer

139

Answer

-41

Answer

-149

Question 14

Graph the equation using the slope and y-intercept.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 15

Give the x-intercept
3x + 8y = 24

Accepted Answer

(8, 0)

Answer

(0, 8)

Answer

(3, 0)

Answer

(0, 3)

Question 16

Give the y-interecept
3x + y = 5

Accepted Answer

(0,5)

Answer

-3

Answer

-5

Answer

(0, -3)

Question 17

All of the x values or inputs are called what?

Accepted Answer

Domain

Answer

Range

Answer

Relation

Answer

Function

Question 18

Find the x and y intercepts
4x - 5y = 40

Accepted Answer

x intercept is 10
y intercept is -8

Answer

x intercept is 10
y intercept is 8

Answer

x intercept is 10
y intercept is 20

Answer

x intercept is 8
y intercept is 10

Question 19

Which situation is best represented by the
function f(x), where f(x) = 12x + 5?

Accepted Answer

A company sells x baseball caps for $12
each and charges a $5 shipping fee.

Answer

An office-supply store sells x boxes of
ballpoint pens that contain a dozen pens
per box for $5 each.

Answer

An Olympic swimmer trains by
swimming 12 kilometers on each of x
weekdays and 5 kilometers on each day
of the weekend.

Answer

An algebra quiz has x problems worth
12 points each plus 5 extra-credit
problems worth 5 points each.

Question 20

Question 20.

Accepted Answer

The dependent variable is total cost

Answer

The dependent variable is weight

Answer

The independent variable is total cost

Answer

The independent variable is cost of a package

Question 21

Which equation matches the graph?

Accepted Answer

y = 2x - 3

Answer

y = 2x + 3

Answer

y = -3

Answer

y = -3x + 2

Question 22

If f(x)=3x-9, find f(5).

Accepted Answer

f(5) = 6

Answer

f(5) = 16

Answer

f(5) = -4

Answer

f(5) = 24

Question 23

What type of correlation the scatter plot shows?

Accepted Answer

Positive correlation

Answer

Negative correlation

Answer

No correlation

Answer

Non-linear correlation

Question 24

What is the slope of the linear equation y=3 ?

Accepted Answer

Zero

Answer

undefined

Answer

3

Answer

1/3

Question 25

The equation y = 3x + 8 models the amount of snow in y inches after x hours.

Interpret the y-intercept

Accepted Answer

When we started measuring, there were already 8 inches of snow on the ground.

Answer

8 inches of snow falls in 3 hours.

Answer

3 inches of snow falls in 8 hours.

Answer

Every hour, 3 new inches of snow accumulates.

Question 26

2x - 3 + 4x = 27

Accepted Answer

5

Answer

12

Answer

4

Answer

15

Question 27

Solve for x:
5x - 14 = 8x + 4

Accepted Answer

x = -6

Answer

x = 6

Answer

x = -18/13

Answer

x = 10/3

Question 28

Which equation matches the table?

Accepted Answer

y = 3x + 9

Answer

y = 1/3x + 9

Answer

y = x + 3

Answer

y = 12x - 3

Question 29

x² - xy if x = 8 and y = -3

Accepted Answer

88

Answer

40

Answer

-8

Answer

-24

Question 30

Which inequality is equivalent to 7x - 2y > 8 ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 31

Which graph does not represent y as a function of x?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 32

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

Accepted Answer

15 + 2.5x = 10 + 3x

Answer

15x + 2.5 = 10x + 3

Answer

15 - 2.5x = 10 - 3x

Answer

15 - 10 = 2.5x + 3x

Question 33

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

Accepted Answer

120 miles

Answer

100 miles

Answer

110 miles

Answer

150 miles

Question 34

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

Accepted Answer

150 + 24x = 180 + 20x

Answer

150x + 24 = 180 + 20x

Answer

180 - 150 = 24 x + 20x

Answer

150 - 24x = 180 - 20x

Question 35

The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.

Accepted Answer

80+9.50x > 120+7.50x

Answer

80+9.50x < 120+7.50x

Answer

80x+9.50 > 120x+7.50

Answer

80x+9.50 < 120x+7.50

Question 36

Which equation best represents the data?

Accepted Answer

C  y = -3/5x - 2

Answer

A.  y= -3/5x + 2

Answer

B  y = 5/3x -2

Answer

D  y= 5/3x + 2

Question 37

Two lines that are perpendicular lines have ...

Accepted Answer

Slope that is opposite reciprocals

Answer

No Slope

Answer

Slope that is the same

Answer

none of the above

Question 38

Two lines that are parallel will have ...

Accepted Answer

Slope that is the same

Answer

Slope that is opposite reciprocals

Answer

No slope

Answer

none of the above

Question 39

y = 3x +2
y = 3x - 3
These lines are...

Accepted Answer

Parallel

Answer

Perpendicular

Answer

Neither

Answer

The same line

Question 40

-6x + y = 2
6x + y = 2
These lines are...

Accepted Answer

Neither

Answer

Parallel

Answer

Perpendicular

Question 41

y = -2/3x + 2
y = 3/2x + 9
These lines are...

Accepted Answer

Perpendicular

Answer

Parallel

Answer

Neither

Question 42

Choose ALL the lines PARALLEL to the following line: y = 2/9x - 7

Accepted Answer

9y = 2x -18

Accepted Answer

y = 2/9x + 8

Answer

y = 9/2x -12

Answer

-2y = 9x + 8

Question 43

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

Accepted Answer

-1/2

Answer

-2

Answer

1/2

Answer

2

Algebra 1 -- Midterm Practice

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