NUMBER SYSTEM
Add and Subtract the following fractions. Write the answer as a mixed number.
-3 2/5 + 5 - 2 3/4
-1 3/20
2 1/10
Simplify the following expression: 4(2x−3)−3(x+5)+2x
7x - 27
A circle has a radius of 9 in. Find the area and circumference of the circle.
Hint: A=πr2 C=πd
Area: 254.34 square inches
Circumference: 56.52 inches
What is the mean and the median for the following set of data?
34, 85, 21, 32, 69, 34, 90, 112, 85, 96
Mean: 65.8
Median: 77
Jan has a drink that contains 48 ounces. She spills 2/3 of the drink. How many ounces does she have remaining?
16 ounces
Marty uses 8/5 gallons of gas to drive 42 miles. Calculate his unit rate in miles per gallon.
26.25 or 26 1/4
Simplify the following expression:
3 - 5(8x−4)−2x
-42x + 23
A trapezoid has the following dimensions:
Base One is 8 in.
Base Two is 3 times the length of Base One.
The height is 10 inches.
What is the area of the trapezoid?
160 square inches
A company plans to ship 2, 000 packages of chocolate. The company randomly selects 100 packages and finds that five packages have an incorrect weight. Based on this data, how many packages out of the 2, 000 should be predicted to have an incorrect weight?
100
Write an expression to represent 9 deposits of $15 into a bank account.
9(15)
Joseph earns $320 dollars. He spends 30% of it on groceries for the week. He spend 3/8 of the remaining amount on a video game. How much money does he have left?
$140
Last year, the number of runs scored by a baseball team was x. This year, the number of runs can be represented by 0.85x. Which of the following is an explanation of the number of runs scored this year?
A.) The number of runs increased by 85%.
B.) The number of runs decreased by 85%.
C.) The number of runs increased by 15%.
D.) The number of runs decreased by 15%.
An architect creates a scale drawing of a house using the scale 2 in = 5ft. If the house is actually 24 feet tall, how tall is the house in his drawing?
9.6 inches
See picture. Which is greater, the interquartile range of Music Player X or half the median of Music Player Y?
half the median of Music Player Y
Mike earns an 8% commission of the final selling price of a house. A house he is selling has a listed price of $250,000. The house actually sells for 4% less than the listed price. How much money does Mike earn in commission?
$19,200
The price of a meal is $65. There is a sales tax of 9%. You will also add a 20% tip to the price of the meal before tax. What is the final price of the meal?
$83.85
Which expression is equivalent? (5y-16) + (40-11y)
a. 6(y-4)
b. 6(4-y)
c. 9(5y-3)
d. 9(5-3y)
b
How many unique triangles can be constructed using the following measurements: 26 in, 27 in, 44 in
Exactly One
Todd has 4 chocolate chip cookies, 5 sugar cookies, 6 peanut butter cookies, and 15 oatmeal raisin cookies. What is the probability of randomly selecting to eat a peanut butter cookie?
0.2
|-12 + 3| + |-4|
13
Create a table for x and y that shows a proportional relationship, AND write an equation to represent the table.
x | y y = -5x
-2 10
-1 5
0 0
1 -5
2 -10
Jeff earns 15 points for signing up to become a rewards member at a movie theater. He also earns an additional 3 points every time he watches a movie at theater. When he reaches 55 points, he earns a reward for a free movie and popcorn. How many times must he go to the movies in order to earn the reward?
14
Angle X and Angle Y are supplementary angles. The measure of Angle X is (4x + 12). The measure of Angle Y is (6x - 9). What is the actual measure of Angle X?
82.8 degrees
Jane spins a wheel and lands on the following colors.
Red- 20 times Blue- 25 times Green- 15 times
Based on the data, if she conducts the experiment 2 more times, what is the probability of landing on blue and then landing on red? Write your answer as a decimal rounded to the nearest hundredth.
0.14