linear functions review

Linear Functions ReviewLinear Functions Review

Rules of the game. Each person in your group needs to answer. Answer Sheets will be collected at the end of the period. Answers will be entered on the calculator. Some are fill in the blank while others are multiple choice. The first person in with the correct answer gets the points for

his/her group. You have until the music stops playing to answer the

question. However, some questions will require more time and will be given when appropriate.

In the event of a tie the points will be split among the groups.

Let’s Begin

Rules of the game. Each person in your group needs to answer. Answer Sheets will be collected at the end of the period. Answers will be entered on the calculator. Some are fill in the blank while others are multiple choice. The first person in with the correct answer gets the points for

his/her group. You have until the music stops playing to answer the

question. However, some questions will require more time and will be given when appropriate.

In the event of a tie the points will be split among the groups.

Let’s Begin

100 100 100 100 100 100200 200 200 200 200 200300 300 300 300 300 300400 400 400 400 400 400500 500 500 500 500 500600 600 600 600 600 600700 700 700 700 700 700

Rela

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Fun

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Slope Slo

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100

State the Domain of the given relation:

(-3, -5), (3, 4), (5, -4), (2, -4) (2, 6)

D =

100

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

(-5, 4) and (6, 8)

100

In the slope intercept form of the equation y = mx + b, what does the m represent?

a.Slope

b.Y-intercept

100

Is the point (-2, -3) a solution to the given system of equations?

y = 3x +3

y = -x – 5

Yes or No

100

Find the x – intercept for the equation 2x + 3y = 12.

100

Write the equation of the line in slope-intercept form with the given slope and y-intercept.

Slope = -5/3 y-intercept = -5

200

State the range of the given relation:

(-3, -5), (3, 4), (5, -4), (2, -4) (2, 6)

R =

200

Find the slope of the line below.

200

Identify the slope of the line with the given equation.

32

1 xy

200

Identify the solution to the system.

200

Find the y-intercept of the given equation.

4553 yx

200

Write the equation of the line through the given points.

(0, 4), and (3, 5)

300

Is the given relation a function?

300

Find the slope of the line through the given points.

(-13, 6), and (8, -17)

300

For the line with the given equation, find the slope of a parallel line that passes through the point (0, -5)

44

3 xy

300

If two lines are parallel, how many solutions are there?

a.1 solution

b.No solution

c. Infinitely many solutions

300

Find the x – intercept of the equation

4276 yx

300

For the line with the given equation, find the slope of a line that is perpendicular to the given line.

1445

6 xy

400

The amount of rainfall in your town is recorded every day for a month. A relation is given by the ordered pairs (inches of rain, day of month). Does this relation represent a function?

400

Find the slope of the line with the given intercepts

x- intercept = -2.5

y - intercept = 1.5

400

Identify the slope and y-intercept of the line with the given equation.

a. Slope = -4/3, y-intercept = 6

b. Slope = -3/4, y-intercept = 6

2443 xy

400

Solve the system by graphing.

2133

1054

yx

yx

400

Find the intercepts of the equation.

7.6557.69.21 yx

400

Write the equation of the line that is parallel to the given line and passes through the point (0, -5).

73 xy

500

Is the given relation a function?

500

Which line has the greater slope?

Line A: (20, -18), (1, -2)

Line B: (-3, -4), (15, 16)

500

Which equation is the following equation in slope-intercept form?

1056 yx

a.

b.

c.

d.

1065 xy

1065 xy

105

6 xy

25

6 xy

500

Solve the system by Graphing

x = 3

y = 4

500

Identify the intercepts for the equation

500

Write an equation of the line that is perpendicular to the line y = -3x + 4 and passes through the point (0, 7).

Write your answer in slope intercept form.

600

State the domain for the given function.

600

Find the coordinates of two points on the line with the given equation. Then use the points to find the slope of the line.

42 xy

600

For the lines with the given equation, place the equation in slope intercept form and find the y-intercept.

18611 yx

600

The graphs of the three equations below form a triangle. Find the coordinates of one of the vertices.

1233

52

14

xy

yx

yx

600

Find the intercepts for the given equation.

5.105.31.2 yx

600

Write an equation of the line through the given points.

(0, -6), (8, -16)

700

Every relation is a function.

True or False.

700

The grade of a road is its slope written as a percent. A warning sign must be posted if a section of road has a grade of at least 8% and is more than 750 feet long.

A road rises 63 feet over a horizontal distance of 840 feet should a warning sign be posted? What is the grade?

700

Find the slope of a line that is perpendicular to the line with the given equation.

1834 yx

700

A business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450. Write and solve a system of linear equations to find the number of skates rented.

700

Find the intercepts of the given equation.

2

3

4

1

2

1 yx

700

Write an equation through the given points.

(-2, -11), (0, -11)