Numerical Representations & Integer Operations
A water park offers a 5% discount on student tickets. What decimal & fraction are equivalent to 5%?
0.05 & 1/20
The weight of one serving of trail mix is 2.5 ounces. How many servings are there in 22.5 ounces of trail mix?
9
An inequality is shown.
w/5 < -13
What is the solution to this inequality?
w > -65
The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir.
How many boys are in the choir?
75
What is the area of a trapezoid with base measurements of 6 and 12, and a height of 7.5?
67.5
Students in Mrs. Guerro's class must complete at least 40 math problems for homework every week:
Katie - 0.4
D'Angelo - 45/40
Grace- 100%
Jonah - 2/3
Order the students from least to greatest.
Katie, Jonah, Grace, D'Angelo
A numerical expression is shown.
52 + 2(43 - 10) - 3
What value is equivalent to the expression shown?
130
A right triangle has an angle that measures 43 degrees. Find the missing angle.
47 degrees
The wingspan of an adult bald eagle can be 7 feet. What is this wingspan in inches?
84 inches
The list shows the number of employees in the nine departments at a company.
14, 23, 6, 53, 30, 26, 17, 3, 26
What is the mean, median, mode and range of the numbers of employees in these departments?
**QUINTUPLE JEOPARDY**
Mean - 22
Median - 23
Mode - 26
Range - 50
Susie paid 2/5 of the price of her movie ticket. Her parents paid the remining proportion of the movie ticket price. What decimal and percent is equivalent to the fraction of the price of the movie ticket her parents paid?
0.6 and 60%
Write an expression equivalent to 38(251m - 45).
38 x 251m - 38 x 45
OR
9538m - 1710
A company uses a total of y gallons of water at a rate of 74 gallons per hour for x hours. Write an equation to represent this situation.
y = 74x
During a 90 minute school play, the main character was on stage 80% of the time.
What amount of time in minutes was the main character NOT on stage?
18 minutes
A chemistry teacher has 18 boxes of baking soda for students to use in an experiment. If each student will use 3/5 of a box of baking soda, how many students can perform the experiment?
30
What is the value of the expression shown?
3 - (-100) / 5 x 2
43
Lorie earns $7.75 for each hour of work as a babysitter. How much will she earn for working 5 1/2 hours as a baby sitter?
$42.63
Point Q is located on the coordinate grid at (-9.73, 3.32). In which quadrant is point Q located?
Quadrant II
The ratio of the number of boys to the number of girls in a 6th grade class is 2 to 3. There are 18 girls in the class.
How many children are in the class?
30
A dot plot's data of the lengths of 12 trailers is listed below:
9, 13, 17, 6, 6, 9, 6, 13, 13, 17, 13, 6
What is the IQR (interquartile range) of the dot plot?
7
What is the value of the expression shown?
4(-2) + (-10) + 3(-8)
-42
Write an expression equivalent to 53p + (16p + 7p).
(53p + 16p) + 7p
OR
(16p + 53p) + 7p
OR
53p + (7p + 16p)
The perimeter of a triangle is 104 units. The combined length of two of the sides of the triangle is 64 units.
What is the length of the third side of the triangle in units?
40 units
Avery and Mason are both swimming laps in the same swimming pool. Avery can swim 3 laps in 2 minutes, and Mason can swim 5 laps in 4 minutes.
Based on these rates, which statement is NOT true?
A. Avery can swim 6 laps in 4 minutes.
B. Mason can swim 2.5 laps in 2 minutes.
C. Avery can swim 2 laps farther than Mason in 8 minutes.
D. Mason can swim 0.5 lap farther than Avery in 2 minutes.
D
Mr. Estrada's car can travel no more than 510 miles on one full tank of gasoline. After filling up the tank with gasoline, he traveled 194 miles in the car.
Write the solution that represents all possible values of m, the number of miles Mr. Estrada can travel in the car with the remaining gasoline in the tank.
m ≤ 316