Ratios and Proportions
Rational Numbers
Equations
Percents
Miscellaneous
100
Which of the following is NOT a representation of k?
a. unit rate
b. constant of proportionality
c. y-value
d. scale factor
c. y-value
100
4 + (-9)
-5
100
Write the following expression in standard form:
3x - 8 + 2x - 6x + 10
-x + 2
100
What percent is the following statement describing?
Instead of the $1200 expected to be raised, $3600 was collected for the school’s fundraiser.
300%
100
Dr. Garber has lost his marbles. In the bag, there were 3 red marbles, 8 blue marbles, 7 yellow marbles, and 2 clear marbles. Find the probability of each drawing a red marble and write as fraction, decimal, and percent.
3/20
0.15
15%
200
Find the unit rate for the following scenario:
420 miles in 7 hours.
60 miles per hour.
200
What value of a will make the equation a true statement?
(− 8 + 10) + a = 0
a = -2
200
Find the result when 13v + 2 is subtracted from 5v + 4
-8v + 2
200
15 is what percent of 175? Round to the nearest tenth of a percent.
8.6%
200
What is the formula for finding the area of a circle?
A = π r2
300
Mrs. Kelly is helping the 7th grade make blankets for House of Hope. She realizes that the students can make 3 blankets every ½ of an hour. What is the unit rate?
6 blankets per hour.
300
(-6 x -11) + 5 - (-3)
74
300
Solve for x.
2/5(25x - 5) =-22
x = -2
300
Convert 0.625 to a fraction.
5/8
300
List the THREE different types of angles that refer to 90, 180, and 360 degrees.
Complementary angles
Supplementary angles
Full angles
400
List ALL the characteristics of a proportional relationship.
1. Constant unit rate
2. Straight line
3. Goes through the origin
400
Kay makes ornaments, so she rented a table at the fair for $30. Each ornament that she makes costs approximately $2.50 for materials. She sells each ornament for $6.00. Write an expression that represents the situation.
3.50x - 30
or
6x - 2.5x - 30
400
The longest side of a triangle is 12 more units than the shorter side. The third side is twice the length of the shortest side. If the perimeter of the triangle is 24 units, find the lengths of all three sides of the triangle (Write an equation to find the three sides).
side 1 =
side 2 =
side 3 =
side 1 = 3
side 2 = 15
side 3 = 6
x + x + 12 + 2x = 24
x = 3
400
This year, Benny is 12 years old, and his mom is 48 years old. What percent of his mom’s age is Benny’s age?
25%
400
Find the value of x and y.
x = 35 degrees
y = 125 degrees
500
Each school year, the 7th graders who study Life Science participate in a special field trip to the city zoo. In 2010, the school paid $1,260 for 84 students to enter the zoo. In 2011, the school paid $1,050 for 70 students to enter the zoo. In 2012, the school paid $1,395 for 93 students to enter the zoo.
Is the price the school pays each year in entrance fees proportional to the number of students entering the zoo? If yes, what is the unit rate?
Yes - the unit rate is $15 per student.
500
Represent the following expression as a single rational number:
5 + (-4 4/7)
3/7
500
Ben wants to have his birthday at the bowling alley with a few of his friends, but he has to spend less than $60. The bowling alley charges a flat fee of $25 for a private party and $5.00 per person for shoe rentals and unlimited bowling. Write and solve an inequality to represent how many people Ben can have at his party.
5x + 25 < 60
x < 7
Ben can only have up to 6 people at his party.
500
Creator Delights is having a Back to School sale where all t-shirts are discounted by 15%. Joshua wants to buy five shirts: the first shirt costs $8.99, two of the shirts cost $12.99 each, and the last two cost $19.00 each. What is the total cost of the shirts including the discount?
$62.02
500
Find the perimeter of the semicircle. Label your answer!!
P = 21.41 cm