WorksheetsLinear Functions Unit Review
Total questions: 123
Worksheet time: 10hrs 34mins
Dan drives 60 miles in 5 hours.
David drives 75 miles in 6 hours.
6
-6
14
-14
1
-1
19
-19
(10, 1) and (5, 2)
.Use the graph to determine the equation of the line in slope-intercept form.
y = 3x + 3
y = 1/3x + 3
y = -1/3x +3
y = - 3x + 3
What is the y-intercept of this line?
-3
-2
0
What is the equation of the function with the least expensive hourly rate?
y = 2.25x
y = 6x
y = 2.25x + 12.75
y = 6x + 1
Write the equation in slope-intercept form to represent the line that is graphed.
y = 1/2x + 1
y = -2x -2
y = 2x +2
y = 2x - 2
Write the equation of a line with m = 3 that passes through (2, -1)
y = 3x + 1
y = 3x - 7
y = -3x + 5
What is the slope of the line that contains these two points? (1, 6) and (3, -4)?
-5
-1/5
-1
5
One point on a line is ( 2, -2). The slope of the line is 4. Which of the following points could be another point on the same line?
a) (4, –10) b) (4, 6) c) (–4, 6) d) (–4,10)
a
b
c
d
What is the slope of the line graphed below?
-2
Zero
Undefined
11. Which equation has a y-intercept of -3?
6x + 3y =9
3y = - 6x + 9
-3y = 6x + 9
2y = 3x + 6
a
b
c
d
Write the function -2x + 4y =12
in slope-intercept form.
4y =-2x + 12
y = 1/2x + 3
y = 2x + 3
y = -1/2x - 3
11. Each month, Danielle pays $8.00 for her cell phone plan and an additional $0.10 for each text message she sends. Write the equation in slope-intercept form to represent the numbers of dollars spent y, Dependent upon the numbers of text sent x.. Determine how many texts did Danielle sent in a month if her total monthly cell phone bill was $52.00.
4.4
44
440
4400
Ben and Julia rented a truck from the same company to move to college. Ben drove 150 miles and paid $64.95 while Julia drove 84 miles and paid $45.15. How many miles could you drive the truck if you did not want to spend more than $105? Round to the nearest mile.
195 miles
252 miles
284 miles
350 miles
Which set of values is a function?
(9,5) (10,5) (9,-5) (10,-5)
(3,4) (4,-3) (7,4) (3, 8)
(6,-5) (7, -3) (8, -1) (9, 1)
(2, -2) (5, 9) (5, -7) (1, 4)
Is the graph below a function? Why or why not?
It is a function, because no vertical lines hit it twice.
It's not a function, because a vertical line hits it twice.
It's not a function, because no vertical lines hit it twice.
It is a function, because a vertical line hits it twice.
Is the graph a function? Why or why not?
It is a function, because no vertical lines hit it twice.
It's not a function, because a vertical line hits it twice.
It's not a function, because no vertical lines hit it twice.
It is a function, because a vertical line hits it twice.
Is this a function? Why or why not?
It is a function, because each x has only one y.
It's not a function, because an x has multiple y's.
It's not a function, because a y has multiple x's.
It is a function, because each y has only one x.
Find the slope:
m= 4
m=1/4
m=-4
m=-1/4
Who saves more per day: Adam or Bianca?
They save the same amount.
Adam
Bianca
Which panda is growing faster?
Mochi
Kappa
Po the dragon warrior
Jack Black
which of the following is a linear graph?
What does the slope represent in this situation?
The sloth runs 1 feet in 3 minutes.
The sloth runs 3 feet in 1 minute.
The sloth runs fast.
The sloth runs 6 feet in 1 minute.
What is the equation of this line?
m = 0
m = undefined
y = 5
x = 5
What is the equation of this line?
m = 0
m = undefined
x = 3
y = 3
Write down the coordinate of the y-intercept of the blue graph
(0, 1)
(1, 0)
(0, -1)
(-1, 0)
What is the x-value for any point on the Y-axis?
1
2
0
any value
The location where the line crosses the y-axis is called the...
slant
slope
y-intercept
x-intercept
The change in rise over run in a graph is called the...
slant
slope
y-intercept
x-intercept
The axis that runs horizontally on a coordinate plane is called the...
x-axis
y-axis
flat line
straight line
The axis that runs vertically on a coordinate plane is called the...
x-axis
y-axis
flat line
straight line
Vertical lines have
Negative slopes
Zero slopes
Positive Slopes
Undefined Slopes
Horizontal lines have
Undefined slopes
Zero slopes
Negative slopes
Positive Slopes
What is the slope of the line 3y = 12x + 15
27
12
4
15
The slopes of parallel lines are...
the same
opposite
always different
y = -1/3x - 5
y = 1/3x + 2
Are these two lines parallel, perpendicular or neither?
y = -1/4 x - 5
y = 4x + 2
Parallel
Perpendicular
Neither
Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?
y-8=5(x-3)
y=5x+8
y-3=5(x-8)
y-y1= m(x-x1)
Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?
y-10 = -2(x+7)
y-10 = -2(x-7)
y+10 = -2(x+10)
y -10 = -2x+2
(4, -7); m = -1/4
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?
What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?
y = -3x - 23
y = -3x -13
y = -3x - 11
y = -3x+13
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
Given y + 6 = 10( x - 9) , what is the point used to write this equation?
(10, 9)
(6, -9)
(-6, 9)
(9, -6)
Identify the slope and the coordinate the following equation passes through: y+8=2(x-1)
m:2 (1,-8)
m:-2 (1,-8)
m: 2 (-1,8)
m: -2 (-1,8)
Which equation in standard form represents this graph?
-3x +2y = -6
3x + 2y = 6
-3x - 2y= 12
-3x + 2y = -12
Write the standard form equation that passes through (0, -1) and (-6, -9)
-4x +3y = -4
-4x +3y = -3
-4x +3y = 5
-4x +3y = 10
3x + 8y = 24
5x - 3y = 15
Which graph represents 2x + 4y = 12?
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.
Mrs. Harris is going to the movies. She spends $10 per ticket and $5 per bucket of popcorn. She only wants to spend $50.
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20.
Luke wants to make 80 dollars doing yardwork. He earns $10 per lawn he mows and $20 per garden he weeds.
Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?
4x + 3y = 8.10
4x + 5y = 10.80
4x - 5y = 10.80
4x + 10.80y = 5
4x - 5y = 40
y intercept is 8
y intercept is 20
y intercept is 10
y intercept is -8
Write the equation below in standard form
y = 2/3 x + 5.
-2/3x+y=5
2x - 3y= -15
-6/3x + 3y= 15
-2x+y=15
You are buying the hamburgers and chicken for a party. The hamburgers cost $2.75 per pound and the chicken is $3.50 per pound. If you have $75 to spend, write and solve a linear equation to find how many pounds of chicken you can afford if you buy 12 pounds of hamburger.
Choose the best answer below.
Slope intercept
Standard form
Point slope form (slope and a point)
Two Points
Jake spent a three-day weekend on the lake. On Saturday, he rented a pontoon boat for three hours and paid $435. On Sunday, he rented the same boat for five hours and it cost him $190 more than it did the day before. If he rented the same boat on Monday for just two hours, find the the total cost to rent the boat for the three days.
Choose the best answer below.
slope intercept form
standard form
point slope form (slope and a point)
two points
An airplane at 30,100 feet above the ground begins descending at the rate of 2,150 feet per minute. Write and solve a linear equation to find how many minutes it will take the plane to reach the ground.
Choose the best answer below.
slope intercept form
standard form
point slope form (slope and a point)
two points
A candlestick burns at a rate of 0.2 inches per hour. After eight straight hours of burning, the candlestick is 13.4 inches tall. Write and solve a linear equation to find the original height of the candle.
Choose the best answer below.
slope intercept form
standard form
point slope form (slope and a point)
two points
A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a total of 12 pounds of food per day. Write and solve a linear equation to find the number of days their food will last.
Choose the best answer below.
slope intercept form
standard form
point slope form (slope and a point)
two points
A tire dealer sells all-season tires for $68 each and all-terrain tires for $125 each. In one day, the sales both tires totaled $3,926. If 14 all-terrain tires were sold, write and solve a linear equation to find the number of all-season tires sold.
Choose the best answer below.
slope intercept form
standard form
point slope form (slope and a point)
two points
An international calling plan charges a rate per minute plus a flat fee. A 10-minute call to France costs $3.19. A 15-minute call to France costs $4.29. Write and solve a linear equation to find the cost of a 12-minute call to France.
Choose the best answer below.
slope intercept form
standard form
point slope form (slope and a point)
two points
To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $174.45. The cost for 8 tickets is $271.95. Write and solve a linear equation to find the total cost to order 12 tickets.
Choose the best answer below.
slope intercept form
standard form
point slope form (slope and a point)
two points
To lease a new car, you must make a down payment when you sign the lease, then pay $199 per month. Six months after signing his lease, Mr. Scott had paid $2,694. Write and solve an equation to find the total amount he will have paid after 3 years.
Choose the best answer below.
slope intercept form
standard form
point slope form (slope and a point)
two points
y ≥
Y ≥
Y <
2x -3y ≥ 12
What is the equation of the line graphed below?
y = -2
Zero
x = -2
y = 0
(a)
1) A caterer charges $100 to cater a party for 10 people and $175 for 25 people. Write an equation for the given situation.
y = 25x + 100
y - 100 = 5(x - 10)
y - 175 = 10(x - 25)
100x + 175y = 35
1) A caterer charges $100 to cater a party for 10 people and $175 for 25 people. Write an equation for the given situation.
y = 25x + 100
y - 100 = 5(x - 10)
y - 175 = 10(x - 25)
100x + 175y = 35
When 4 people attend the movie theater, it costs $23.96. When 7 people attend the movie theater, it costs $41.93. What information is given and which equation should you use?
A slope and y - intercept are given, use y = mx + b.
A slope and y - intercept are given, use y - y1 = m(x - x1).
Two points are given; use y - y1 = m(x - x1).
Two different items that add to a total are given; use Ax + By = C.
You took a standardized test on which all of the questions had to be answered. Your received 2 points for each correct answer but lost ½ point for each incorrect answer. Your score was 85 points. What information is given and what equation should you use?
A slope and a y - intercept is given; use y = mx + b.
A slope and a y - intercept is given; use y - y1 = m(x - x1).
Two points are given; use y - y1 = m(x - x1).
Two different items that add to a total are given; use Ax + By = C
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. What information is given and what equation should you use?
A slope and a y - intercept is given; use y = mx + b.
A slope and a y - intercept is given; use y - y1 = m(x - x1).
Two points are given; use y - y1 = m(x - x1).
Two different items that add to a total are given; Ax + By = C
1) A plumber charges $25 for a service call plus $50 per hour of service. What information is given and what equation should you use?
A slope and a y - intercept are given; use y = mx + b.
A slope and a y - intercept are given; use y - y1 = m(x - x1).
Two points are given; use y - y1 = m(x - x1).
Two different items that add to a total are given; use Ax + By = C
To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $102.00 The cost for 8 tickets is $150. What are the two points that we could use to find a linear equation for cost, C, of t tickets?
(5,8) & (102, 150)
(8,5) & (150,102)
(5,102) & (8,150)
(102,5) & (150,8)
To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $102.00 The cost for 8 tickets is $150. Which linear equations represents the cost, C, of t tickets?
C=5t+102
C=8t+150
C=.0625t+145.5
C=16t+22
A garbage pickup service charges a flat weekly rate plus an amount per pound of garbage collected. If Jayden has 30 pounds of garbage and is charged $13 and Shay has 50 pounds of garbage and is charged $19, How much will Haeley have to pay for her 23 pounds of garbage?
(a)
This problem:
gives you a rate of change (slope) and a starting point (y-intercept)
relates two different objects
gives you a rate of change (slope) and a sample point (x,y)
gives you two sample points
(x1, y1) and (x2, y2)This problem:
gives you a rate of change (slope) and a starting point (y-intercept)
relates two different objects
gives you a rate of change (slope) and a sample point (x,y)
gives you two sample points
(x1, y1) and (x2, y2)This problem:
gives you a rate of change (slope) and a starting point (y-intercept)
relates two different objects
gives you a rate of change (slope) and a sample point (x,y)
gives you two sample points
(x1, y1) and (x2, y2)How many rats will there be in 67 days?
