Free Printable Unit 2B Study Guide

Worksheets

Unit 2B Study Guide

Total questions: 40

Worksheet time: 4hrs 54mins

Name

Class

Date

Which of these represents slope-intercept form?

y - y₁ = m(x-x₁)

Ax + By = C

y = mx + b

In the equation y=mx+b, what does the m represent?

slope

y-intercept

linear

point-slope

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

y-intercept

macaroni

nothing

slope

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

y - 3 = 1(x - 2)

y + 3 = 1(x + 2)

y -3 = -1(x + 2)

y + 3 = -1(x - 2)

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

y + 7 = -1/4(x - 4)

y - 4 = -1/4(x + 7)

y + 7 = 4(x - 4)

y - 7 = -1/4(x - 4)

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

y + 1 = -3(x - 2)

y + 1 = -3(x + 2)

y - 1 = 3(x - 1)

y + 2 = -3(x + 1)

Which of these represents point-slope form of a linear equation?

y - y₁ = m(x - x₁)

Ax + By = C

y = mx + b

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

y + 1 = -3(x - 2)

y + 1 = -3(x + 2)

y - 1 = 3(x - 1)

y + 2 = -3(x + 1)

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

y - 4 = 7(x + 0)

y - 0 = 7(x - 4)

y = 7x + 4

y = 7x + 0

10.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

y = -3x - 23

y = -3x - 13

y = -3x - 11

y = -3x + 13

11.

Select all of the following equations in point-slope form.

y - 2 = 5(x - 2)

3x + 2y = 12

y + 2 = 1/4(x + 4)

y = 4x + 6

2y = 5x - 7

12.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

y = -3x - 23

y = -3x - 13

y = -3x - 11

y = -3x + 13

13.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

-1

-3

14.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

(-4, 3)

(3, -4)

(-3, -4)

(-4, -3)

15.

Given the equation y = 4(x + 8) - 5, determine a point on the line.

(8, 4)

(-8, 4)

(-8, -5)

(-8, 5)

16.

x ≥ 2

x ≥ -2

x ≤ 2

x ≤ -2

17.

x > 1

x > -1

x < 1

x < -1

18.

x < 1

x < -1

x > 1

x > -1

19.

a ≥ 4

a ≥ -4

a ≤ 4

a ≤ -4

20.

n < 1

n < -1

n > 1

n > -1

21.

22.

23.

24.

25.

26.

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?

150x + 24 = 180 + 20x

150 + 24x = 180 + 20x

180 - 150 = 24 x + 20x

150 - 24x = 180 - 20x

27.

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?

120 miles

100 miles

110 miles

150 miles

28.

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.

1.75 + 0.65m < 10

1.75 + 0.65m > 10

1.75m + 0.65 < 10

1.75m + 0.65 > 10

29.

Karissa is going water skiing. She can purchase skis for $125 or she can rent skis for $30 an hour. In both cases she must rent a safety flotation device to wear that is $5 per hour. Which inequality shows the number of hours Karissa must ski for the cost of buying skis to be less than renting skis?

125 + 5x > 30x

125 + 5x < 35x

125 + 5x < 30x

125 + 5x > 35x

30.

Mona is ordering cups for her school. Company A charges $3.50 for each cup and a one-time starter fee of $14. Company B charges $0.50 for each trophy and a one-time starter fee of $22.
Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?

3.5x + 14 < 0.5x + 22

3.5x + 14 > 0.5x + 22

3.5 + 14x < 0.5 + 22x

3.5 + 14x > 0.5 + 22x

31.

Renting games online from Netwii costs $3.33 per game with no monthly fee. Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

3.33v > 2v + 10

3.33v + 10 > 2v

3.33v < 2v + 10

3.33v + 10 < 2v

32.

Erin can read at least 80 words per minute. Write an inequality to show this situation.

x > 80

x < 80

x ≥ 80

x ≤ 80

33.

The inequality shown below represents fees for two different apartments.

500x + 700 < 650x + 200

Which situation below does this inequality represent?

Apartment A charges a $700 deposit and then $500 per month. Apartment B is equal to Apartment A charging $650 per month with a $200 deposit.

Apartment A charges a $700 deposit and then $500 per month. Apartment B is greater than Apartment A charging $650 per month with a $200 deposit.

Apartment A charges a $700 per month and then $500 deposit. Apartment B is greater than Apartment A charging $650 deposit with $200 per month.

Apartment A charges a $700 deposit and then $500 per month. Apartment B is less than Apartment A charging $650 per month with a $200 deposit.

34.

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

2 miles

4 miles

.50 mile

-4 miles

35.

At a store a carton of eggs costs $2.25 and a package of bacon costs $4.25. At another store eggs cost $2.75 and bacon costs $4.00. If you were to buy one carton of eggs, how many packages of bacon would you have to buy for both stores to cost the same?

36.

IR = V
(solve for R)

R = IV

R = ^I/_V

R = ^V/_I

R = V - I

37.

Solve:
y = mx + b , for b

y - mx = b

y + mx = b

^y/_mx = b

y + mx = -b

38.

Solve for w:
A = LW

A =^L/_W

w = ^L/_A

w = A

w = ^A/_L

39.

Solve for x.

z = xy

x = ^z/_y

x = ^y/_z

x = yz

x = z - y

40.

Solve:

a - b + c = 9 , for a

a = b - c + 9

a = b + c - 9

a = b + c + 9

a = b - c - 9

100 %

Unit 2B Study Guide

Total questions: 40

Worksheet time: 4hrs 54mins

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