Worksheets5-1 to 5-3 Review
Total questions: 76
Worksheet time: 6hrs 14mins
is the unit rate
Identify the constant of proportionality.
k = 2
k = 4
k = 1/2
k = 1/4
none (not proportional)
The graph shows the distance a train travels over time. How fast is the train traveling?
25 miles per hour
90 miles per hour
50 miles per hour
45 miles per hour
Select ALL equations that are proportional.
y = 3x
y = 25x
y = 7x
y = 2x - 1
y = 4000x
What is the unit rate for this graph?
(a)
In the equation y = 14x, what is the constant of proportionality?
(a)
Which company charges the lowest price per hour to rent a raft?
Water's Edge Rafts
Ryan's Rafts
They charge the same rate per hour
Who can type more words per minute?
Braden
Omar
They both have the same rate of change
The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Compare their rates.
Brandi's luggage weighs more because it weighs 40 lbs per bag.
Javier's luggage weighs more because it weighs 40lbs per bag.
Brandi's luggage weighs more because it weighs 30 lbs per bag.
Javier's luggage weighs more because it weighs 30 lbs per bag.
Who spends more per day?
Kameron
Myriah
They have spend the same amount each day.
The graph shows the number of headphones produced by Soundtech. NewSounds produces 175 headphones per hour.
Which statement is true?
NewSounds produces headphones at a faster rate.
Soundtech produces headphones at a faster rate.
Both companies produce headphones at the same rate.
Neither company is producing headphones at a constant rate.
Who uses fewer gallons of gas per mile?
Troy
Lucy
They use the same amount of gas per mile
Which company has the cheaper price per pound?
There is not enough information to determine the price per pound.
Carmine's Candy
Both candy stores have the same price per pound.
Sam's Candy Shoppe
Carla and Brandon are members of two different magazine programs where any magazine ordered is the same price, regardless of the magazine ordered.
Carla pays $17.76 for 8 magazines.
The equation below represents the amount of money Brandon pays for x magazines.
y = $2.88x
Who pays more per magazine?
Brandon pays more per magazine.
There is not enough information to determine the price per magazine.
Brandon and Carla pay the same price per magazine.
Carla pays more per magazine.
The equation below represents the amount of a discount for an item that costs x dollars at store A. y = 0.2x
The graph represents the amount of a discount for an item that costs x dollars at store B.
Which store is offering the greater discount?
Store A is offering the greater discount.
Store A and store B are offering the same discount.
Store B is offering the greater discount.
There is not enough information to determine the amount of the discount.
Compare the constant of proportionality of the following equation and graph by determining which line is steeper.
The line represented by the equation has the same steepness as the line shown in the graph.
There is not enough information to determine the steepness of the lines.
The line represented by the equation is steeper than the line shown in the graph.
The line shown in the graph is steeper than the line represented by the equation.
Mr. Berry recorded the amount of water he used per minute in the graph. Mrs. Hendren wrote the equation y = 4.5x to represent her water use. Mrs. Lewis used 66 gallons in 12 minutes. Which statement is true?
Mrs. Lewis used 0.5 gallons per minute more water than Mr. Berry.
Mr. Berry used 0.5 gallons per minute more water than Mrs. Lewis.
Mrs. Hendren used 0.5 gallons per minute more water than Mrs. Lewis.
Mrs. Lewis used 0.5 gallons per minute more water than Mrs. Hendren.
Store A
Store B
Store C
Johnathan saves $25 per month. Who saves more, Miguel or Johnathan?
Johnathan
Miguel
They save the same amount.
The graph shows the proportional relationship between the number of days, x, Restaurant T is open and how many people they served, y. The equation y = 82x represents the relationship for Restaurant S. Which restaurant served more people?
Restaurant S
Restaurant T
They both served the same amount of people
The equation y = 11.5x represents the price of beef jerky in Store A. The table shows the price for Store B. Which store has the better price?
Store A
Store B
They both have the same price
Find the slope-intercept equation
y = 4x + 6
y = -4x - 6
y = 1/4x - 6
y = -1/4x + 6
Find the slope-intercept equation
y = 2x + 3
y = -2x +3
y = 1/2 x+3
y = -1/2 x+3
Find the slope-intercept equation
y = 3x + 5
y = -3x + 5
y = -1/3 x + 5
y = -1/3 x - 5
The equation below shows the cost (y) of a hamburger with different number of toppings (x).
y = 1.40x + 1.90
What is the meaning of the y-intercept?
The hamburger will cost $1.90 without any toppings.
The hamburger will cost $1.40 without any toppings.
The cost of the hamburger is $1.90 with one topping
The cost of the hamburger doesn't change no matter how many toppings there are.
The equation below shows the cost (y) of a hamburger with different number of toppings (x).
y = 1.40x + 1.90
If Dexter pays $8.90 for his hamburger, how many toppings did he get?
3
4
5
6
The equation below shows the cost (y) to attend the fair if you ride (x) amount of rides.
y = 5 + 1.75x.
What is the meaning of the slope?
The cost to get into the fair is $5
The total cost for the day will increase by $1.75 for every ride you go on.
The cost to get into the fair is $1.75
The total cost for the day will increase by $5 for every ride you go on.
The equation below shows the cost (y) to attend the fair if you ride (x) amount of rides.
y = 1.75x+5
What is the meaning of the
y-intercept?
The cost per ride is $1.75
The cost per ride is $5
The cost to get into the fair is $5
The cost to get into the fair is $1.75
The equation below shows the cost (y) to attend the fair if you ride (x) amount of rides.
y = 5 + 1.75x.
How much will you spend in one day if you go on 7 rides?
$7.25
$10.50
$17.25
$22.50
The function y = 2.25 + 0.75x represents the total cost (y) you have to pay to take a cab (x) miles. What is the meaning of the slope/rate of change?
The cost of the trip will increase by $0.75 per mile.
You will have to pay $2.25 before you travel any miles.
You will have to pay $0.75 before you travel any miles.
The cost of the trip will increase by $2.25 per mile.
The function y = 2.25 + 0.75x represents the total cost (y) you have to pay to take a cab (x) miles. What is the meaning of the y-intercept?
The cost of the trip will increase by $0.75 per mile.
You will have to pay $2.25 before you travel any miles.
You will have to pay $0.75 before you travel any miles.
The cost of the trip will increase by $2.25 per mile.
Each day, a local cat shelter spends an average of $2.00 on food per cat. The manager estimates the shelter’s daily expenses, assuming there is at least one cat in the shelter, using the function y = 25 + 2.00x.
Select all the statements below that are true.
y is the input
25 represents the shelter's daily nonfood expenses
x represents the number of cats at the shelter
25 is the slope
25 is the constant term
What can you conclude about the triangles on the line shown on the graph?
The triangles are congruent and therefore have the same slope.
The triangles are similar and therefore have the same slope.
The triangles are similar but do not have the same slope.
The triangles are unrelated to one another.
What is the rise over run for these triangles?
-6
6
1/6
-1/6
Which of these triangles would not be on the same line as the others.
Triangle 8
Triangle 9
Triangle 10
Triangles that are different sizes but have the same slope are called what?
Congruent
Similar
Perpendicular
Parallel
Identify the slope (AC) of triangle ABC.
2
1/2
-2
-1/2
Identify the slope of EF in triangle DEF.
1
-1
3
-3
Identify the slope (CA) of triangle ABC.
1/3
3
-3
-1/3
Triangles ABC and DEF are similar. The slope of triangle ABC is...
1 which is the same as the slope of triangle DEF.
3/4 which is the slope of hypotenuse of triangle DEF.
4/3 which is the slope of triangle DEF.
-1 which is the same as the slope of triangle DEF.
The slope of line AC is equal to BCAB . What is the measure of the slope?
2/3
3/4
3/2
1/3
Which statement is not true?
A and B
D only
C only
A, B and D
Choose all that apply
Blue
Green
Red
Choose all that apply
Blue
Green
Red
Triangle MNP and JKL are similar right triangles.
Between which pairs of points are the slopes the same?
Choose all that apply.
N and P; K and J
M and P; J and L
M and N; K and L
N and P; J and L
Which of the following is a true statement?
EDBC=EFBA
DEDF=ABAC
EDEF=BABC
EFED=BCBA
Which of the following statements is true about the triangles shown on the graph?
The slope of the two triangles are the same.
The triangles are congruent triangles.
The slope of the larger triangle is larger than the slope of the smaller triangle.
The slope of the smaller triangle is smaller than the slope of the larger triangle.
Which of the following is a true statement?
ACFD=ECBC
BABC=EDEC
ECED=BCBA
BAEC=EDBC
Which statement is true?
DFDE=ACAB
The slopes of the triangles are not the same.
BCEF= DFAC
DEDF=ABAC
Which statement is FALSE?
DF=AC
EFED=BCBA
The triangles have the same slope.
The triangles have different slopes.
What is the slope of line B?
2
0.5
3
1
What is the slope that can be made from this slope triangle?
1/3
3
20
1/20
What is the slope of the line?
3/4
4/3
1
6
What is the slope of line C?
2
0.5
3
1
A
B
C
D
A
B
C
D
