Decimals and Fractions
A wooden flooring strip is 20 1/2 inches long. If you cut off 4 3/4 inches from one end, what will be the new length of the strip in inches?
15 3/4
In my garage is a basket of tools. The ratio of garden tools to hardware tools is 6 to 2. If there are 18 garden tools in the basket, how many hardware tools are there? How many total tools are in the basket?
6, 24
Find the mean, median, mode, and range for the following data set.
1, 1, 3, 2, 6, 2, 5, 7, 2, 5, 4, 1, 3, 1, 7
Mean - 13.3333
Median - 3
Mode - 1
Range - 6
What is the product of 700 and 180,000 written in scientific notation?
1.26 x 108
Two trees are for sale. The second tree is 4 feet less than twice as tall as the first tree. Together the trees are 40 feet tall. How tall is the first tree? (Round to the nearest hundredth)
14.67
Luis bought 20 shares of stock, priced at $26.38 per share. He also paid an $8 transaction fee. How much did he pay?
$535.60
In July, there were 1,449 registered Democrats and 5,954 registered Republicans in Logan county. What is the approximate ratio of Republicans to Democrats in our county? (Hint: Try rounding the numbers to the nearest hundred to make them easier to deal with)
4:1
At a local event, my family each bought 3 raffle tickets hoping to win a cruise to the Bahamas. Including myself, there are 8 members of my family. If 4,000 tickets were sold that day, what is the probability that I or one of my family members will win the cruise?
3/500 or .006 or .6%
If Barb has 9x pencils, and Cathy has 13 more than Barb and Dalia has 2y pencils, together they would have how many pencils?
18x + 2y + 13
What is the solution set of the inequality -7x - 4 > x - 28?
x<3
Jerry makes $1356.71 after taxes each month. Of his take-home pay each month, Jerry spends 1/6 on a car payment and 1/4 on food. How much of his take-home pay is left after paying for these two items?
$791.41
Suddeth Travel estimates that 80% of its employees have more than 12 days of unused sick leave. If 140 employees have more than 12 days of unused sick leave, how many employees work at the agency?
112
Solve #17 on page 311
What would be the best predictions for company B?
B
2500-2800
What is the value of the expression 6(x - y) - 8x + 3y2 -10x if x = -2 and y = 5
69
What are the 2 solutions for 2x2 - 7x -30 =0
6, -2.5
A mat board is 60 inches wide. How many strips measuring .75 inches wide can be cut from the board? Assume there is no waste from the cuts.
80
Six months ago, Sandra had 55 regular customers. After an ad campaign, her customers increased by 120%. How many regular customers does she have now?
121
Roll a dice 25 times and record your results. Based on your results, what is the experimental probability that the next dice roll will be a 6?
Answers will vary
Divide 56x4 + 49x3y3 - 84x3 - 7x2
7x2
8x2 - 7xy3 - 12x - 1
A line goes through the points (0, 2) and (1, 3). What is the equation of the line?
y = x + 2
Put these numbers in order from least to greatest:
7/8, -.375, .2, 4/5, 9/10, -1/4, .6666, -1/3
-.375, -1/3 (-.333), -1/4 (-.25), .2, .6666, 4/5 (.8), 7/8 (.875), 9/10 (.9)
Convert 3/8 into a decimal, percent, part to part ratio, and part to whole ratio.
Convert .65 into a fraction, percent, part to part ratio, and part to whole ratio.
Convert 32% into a fraction, decimal, part to part ratio and part to whole ratio.
Convert 5:6 into a fraction, decimal, percent, and part to whole ratio.
Convert 7:8 into a fraction, decimal, percent, and part to part ratio.
.375, 37.5%, 3:5, 3:8
13/20, 65%, 13:7, 13:20
8/25, .32, 8:17, 8:25
5/11, .45, 45%, 5:11
7/8, .875, 87.5%, 7:1
There are 5 players in the Jeopardy game. How many possible sequences for the winning results could there be?
120
Which of the following is equivalent to x2 - 25?
A. x(x-25)
B. (x - 5)2
C. (x + 5) (x - 5)
D. (x - 25)2
C
Where does the line with the equation x - 2y = 4 intersect with the line with the equation 6y + 5x = 4?
(2,-1)