Proportional/Linear Relationships
Percent Change
Expressions and Equations
Formulas
Integers
100
Is this equation proportional?
Y = 3x +5
NO. Equations that use addition and subtraction are not proportional.
100
There were 134 people in attendance at the school football game last Friday. This week there were 246 people in attendance at the school football game. What is the percent of change from last week to this week? (Round to the nearest whole number)
54% or increase of 54%
100
Simplify this expression:
12x + 6 - 2x - 5 + 3
10x + 4
100
Calculate the circumference of the circle.
A=pi*d
A=3.14 • 8
A=25.12 in2
100
Multiply the following fractions. Simplify your answer.
32/70 = 16/35
200
What is the proportional relationship in this table?
3
OR
1 minute per foot
OR
3 feet per minute
200
Today, the price of a new cell phone is $159. In 2000, the price of a similar cell phone was $240. What is the percent of change in the price of a cell phone from 2000 to today? (Round to the nearest whole number)
-66% (student must say negative 66% or decrease of 66%)
200
Solve this expression:
-2(10x - 8) + 4 = 18
x=1/10
200
Calculate the area of the circle.
A=pi*r2
A=3.14 • 32
A=3.14 • 92
A=3.14 • 32
A=28.26 in2
200
Multiply the following fraction.
7/2 or 3 1/2
300
Does this graph represent a proportional relationship?
Yes. Each x value is being multiplied by the same number to get each
y value
300
Last year, the 6th grade had 350 students. This year the number increased 8%. How many students are in this year’s 6th grade class?
378 6th grade students this year
300
Solve and graph this inequality:
6f + 2 > -10
f > -2. Number line- open circle on -2 with an arrow pointing to the right toward bigger numbers
300
What is the height of the triangle?
5 ft
300
Which of the following are equivalent to this expression: -2(3x - 9)?
A. -6x + 9
B. -6x - 9
C. -3(2x + -6)
D. 18 - 6x
E. -6x + 18
F. -18 - 6x
C, D, E
400
Solve the following proportion for x:
x = 7
400
The Game Stop is having a sale of 55% off. If a game is now $29.99, what was the original price?
$66.64
400
Which of the following values are solutions to the inequality x > -5 :
A. x = -10
B. x = 5
C. x = -3
D. x = -5
E. x = 0
F. x = 12
B, C, E, F
400
What is the volume of the triangular prism?
v = 210 in^3
400
What is 6 ¼ divided by -⅕ ? (Write answer as a mixed number)
-31 1/4
500
Solve the following proportion for x:
x = 3
500
You and 3 friends split a $41.50 restaurant bill evenly. How much will each of you pay after you add the 6.25% and then add a 15% tip? (For each step of your calculations, round to the nearest hundredth.)
$12.68 per person
500
Javier has $12 and makes $15 an hour for every hour he works. Write and solve an inequality to show how many hours he will need to work to be able to buy a new video game for $147.
Then graph the solution to the inequality on a number line.
Inequality: 12 + 15h > (greater than or equal to) 147
Solution to inequality: h > (greater than or equal to) 9 hours
Number Line: Closed circle on 9 with arrow pointing to the right towards bigger numbers
500
What is the surface area of the triangular prism?
276 in^2
500
Solve 2(4x - 9) = 6
x = 3