Adding/Subtracting +/- Numbers
-63 + (-24)
-87
What is the equation to find CoP?
CoP = DV ÷ IV
CoP = DV/IV
CoP = y ÷ x
CoP = y/x
What criteria must be met for a graph to be proportional?
1. Must be linear (straight line)
2. Must pass through the origin
In one inch, there are 3 centimeters. If a tree branch is 12 inches long, how many centimeters long is the branch?
36 centimeters
36 cm
Identify when your scale factor will be greater than 1, less than 1, and equal to 1?
SF > 1 if the shape enlarges (gets bigger)
SF < 1 if the shape is shrinks (gets smaller)
SF = 1 if the shape stays the same size
A roller coaster begins at 90 feet above ground level. Then it descends 105 feet. Find the height of the coaster after the first descent.
-15 feet
What equation is used to represent ANY proportional relationship?
Label each variable.
y = kx
y = DV, x = IV, k = CoP
Find the CoP
x y
3 30
8 80
10 100
6 60
7 70
CoP = 10
The girls’ soccer team scored 60 points in 10 games. How many points were scored in 15 games?
90 points
What equation can used to find the area of a scaled figure?
OA x SF2 = SA
17 + (-20) - (-3) + 9
9
There is a proportional relationship between the number of weeks Bryan spends on the planet, x, and the number of years he ages, y.
x (weeks) y (years)
3 1
6 2
9 3
12 4
Write an equation for the relationship between x and
y.
y=1/3x
y=0.33x
In her computer science class, Audrey is learning how to program computer games. For her final project, Audrey is creating her own multilevel game.There is a proportional relationship between the number of levels Audrey has created for her game, x, and how long (in weeks) it took her to program them, y.
What is the constant of proportionality? Write your answer as a whole number or decimal.
4 weeks per level
If 3 tickets to a certain show cost $13.20, what would 7 tickets cost?
$30.80
Eddie drew a scale drawing of a house and its lot. The scale of the drawing was 1 inch : 6 feet. If the actual width of the porch is 18 feet, how wide is the porch in the drawing?
3 inches
3 in
Steve has overdrawn his checking account by $27. His bank charged him $15 for an overdraft fee. Then he quickly deposited $100. What is his current balance?
$58
In The Tall Tales of Timothy Toad, a witch brews a magical invisibility potion. There is a proportional relationship between the amount of potion the witch drinks (in milliliters), x, and the amount of time she is invisible (in minutes), y. The equation that models this relationship is y=5x.
How much potion does the witch drink to be invisible for 20 minutes? Write your answer as a whole number or decimal.
4 milliliters
4 mL
Neil measures the lengths of some objects in both yards and feet. The graph shows the proportional relationship between the number of yards, x, and the number of feet, y. What does the point (3,9) represent?
An object that is 3 yards long is 9 feet long.
A train travels 90 miles in 1.5 hours. How many miles will the train go in 6 hours if it continues to travel at the same rate of speed?
360 miles
360 mi
The third floor of the White House in Washington, DC has an area of 242 square meters. A model of the White House has an area of 2 square centimeters. What scale factor was applied to the actual White House to create the model?
1/11
An elevator went up 15 floors, down 9 floors, up 11 floors, and down 19 floors. Find the net change.
54 floors
In his computer science class, Marshall is learning how to program computer games. For his final project, Marshall is creating his own multilevel game. Marshall has created 128 levels for his game after 6 weeks.
Write the equation for the relationship between the number of levels created per week.
y = 21 1/3 x or y = 21.333x
Identify all the graphs/tables the represent a proportional relationship.
Table A, Graph C
The scale distance on a map represents 3.5 inches. The actual distance is 175 kilometers. What is the actual distance if the scale distance is 5.7 inches?
285 kilometers
285 km
A square has a side of y inches. By applying a scale factor of 5, a new square is formed. Write an expression to represent the area of the new square.
SA = y * 52
SA = 25y