Equations
Solve the equation:
3x + 2 = -7
x = -3
Wendy is knitting a scarf for a birthday gift. She has made a scarf previously from this same pattern and it took her 21 hours of knitting to complete it. If she has three days to complete it and she is planning to work an equal number of hours each day, how many hours must she work on the project each day?
7 hours
9 is 45% of what number?
20
A map is designed with a scale of 1 inch for every 5 miles. If the distance between two towns is 3 inches on the map, how far apart are they?
15 miles
The chances of rain is 0.91. What is the likeness of rain?
likely
The sum of a number, n, and 8 is multiplied by –4, and the result is –12. What is the number?
-5
If the ratio of the length of a rectangle to its width is 3 to 2, what is the length of a rectangle whose width is 4 inches?
6 inches
A local bakery sold 50 loaves of bread in one day. If 70% of these were sold in the afternoon, how many loaves were sold in the afternoon?
35
What is the volume of a cube whose sides measure 8 inches?
V = l * w * h
512 in3
Felix flipped a coin 8 times and got the following results: H, H, T, H, H, T, T, H. What is the experimental probability of flipping a heads?
5/8 or 62.5%
What is the value of x:
6(x + 18) = 192
x = 14
3 hats cost a total of $18. Which equation describes the total cost, y, in terms of the number of hats, x?
y = 6x
Bob, the plumber, charges 25% the cost of materials as his labor fee. If his current job has a material cost of $130, how much will Bob charge his client (including his labor fee)?
$162.50
What is the area of a circle with diameter 8 cm? Round your answer to the nearest tenth. Use π = 3.14.
A = πr2
50.2 cm²
Mary has 3 red marbles and 7 yellow marbles in a bag. If she were to remove 2 red and 1 yellow marble and set them aside, what is the probability of her pulling a yellow marble as her next marble?
6/7
Kate is one year and six months younger than her sister. If her sister is 14 years and 2 months old, how old is Kate in months?
18 months
The average rate of hair growth is 2.5 centimeters every 2 months. At that rate, how many months will it take to grow 22.5 centimeters of hair?
18 months
If 20% of applicants for a job are women, how many would you expect to be women out of 45 total applicants?
9
What is the area of a triangle with a height of 10 and a base of 12?
60
Jim has 2 pair of pants, 5 shirts and 2 pair of shoes.
What is the total amount of different outfits he can make?
20
Students can figure out their grade, g, on the test based upon how many questions they miss, n. The formula for their grade is G = 100 – 4n. If Tim wants to make at least an 83, what is the maximum number of questions he can miss?
4
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
$20
During cooking, the chicken loses 10% of its weight due to water loss. In order to obtain 1,170 grams of cooked chicken, how many grams of uncooked chicken must be used?
1,300 grams
A bicycle training wheel has a radius of 3 inches. The bicycle wheel has a radius of 10 inches. Approximately how much smaller, in square inches and rounded to the nearest hundredth, is the area of the training wheel than the area of the regular wheel?
A = 3.14(r)2
285.74
Sara rolls two dice, one black and one yellow. What is the probability that she will roll a 3 on the black die and a 5 on the yellow die?
1/36