Percent Problems
A hand-held digital music player was marked down 25% of the original price. If the sales price is $128.00, what was the original price?
$170.67
Tina likes to go skiing. She travels 60 feet in 12 seconds. What is the rate of change?
5 feet per second
On a set of architectural drawings for a new bathroom, the scale is 1⁄2 inch = 2 feet. Find the drawing length and width if the actual length and width is 9ft x 12ft.
2.25 in x 3 in
Name four angle pairs that are always congruent when formed by a transversal drawn through parallel lines.
Alternate Interior, Alternate Exterior, Corresponding, Vertical
The circumference of a frisbee is 37.68 inches. Using 3.14 for
113.04 square inches
At the beginning of the month you open a savings account at “Bank USA.” You deposit $750 knowing you will earn 5% interest on the amount each month. How much money is in your account at the end of the first month?
$787.50
What is the rate of change formula?
m = y2 - y1/x2 - x1
A garage is 90 feet long by 40 feet wide. Make a scale drawing of the garage that has a scale of 1⁄2 inch = 10 feet.
4.5 in long by 2 in wide
Is is possible to construct a triangle with angles measuring 60º, 60º, and 30º? Explain your answer.
No, because the angles add up to 150º
A soccer ball has a circumference of about 28 inches. If you try to kick it into a cylindrical garbage can with a diameter of 10 inches, will the soccer ball fit?
Yes, because the circumference of the soccer ball is smaller than the garbage can.
Jerry purchases a used sofa for $275. He cleans and reupholsters the sofa to make it look brand new. After all the improvements, Jerry sells the sofa for 40% more than what he originally purchased it for. What was the profit Jerry made after selling the sofa?
$110
What does a proportional relationship look like on a graph?
1) Intersects the origin
2) Line is straight
Sarah made a scale drawing of her bedroom. She used a scale factor of 2 centimeters = 11⁄2 feet. If her drawing measures 10 cm x 15 cm, what are the actual dimensions of her room?
7.5 ft x 11.5 ft
Can you make a triangle with one right angle, one obtuse angle, and one acute angle? Why or why not? Draw a picture to justify your answer.
No, you cannot create a triangle with that includes a right and obtuse angle, because the sum of the angles would exceed 180 degrees.
Mr. King is creating an area for a flower garden in his yard. The length across the garden is 8 feet. If Mr. King splits his garden where 50% of the space is for tulips and the other 50% is for daisies, how much space will be filled with daisies?
25.12 square feet
Atreyu goes to Olive Garden to have dinner. His total bill was $42.50. However, Atreyu wants to leave a tip that’s 20% of his total bill. How much money does Atreyu leave for the waitress? How much money did Atreyu end up spending at Olive Garden?
$8.50 tip; and $51.00 total bill
The constant rate of change of a family traveling is 60 miles per hour. If the rate remains constant, how many miles would the family travel in 12 hours?
720 miles
Sally wants to make a scale drawing of her backyard. The actual dimensions measure 30 feet in length and 20 feet in width. If she uses a scale factor of .5 inch = 2 feet, what will the dimensions of her scale drawing be?
Length = 7.5 inches
Width = 5 inches
In a given triangle, two sides measure 5 inches and 8 inches. Between which two measurements would the third side fall? Represent your answer as an inequality.
3 < x < 13
Kelsey bought a circular rug that is ten feet in diameter. The rug has a blue border, and red circular center that is 6 feet in diameter. What is the area of the blue border in terms of pi?
16π ft2
The hat you want to buy at the store just went on sale. The original price was $12, and the sale price is $5. What percent is the original price marked down?
58.3%
Diego likes to skate. The roller rink charges per hour. Diego skated for 4 hours and was charged a total of $32. What is the rate of change?
$8 per hour
A blueprint has a scale of 2 inches to 5 feet. How wide will a room be if it is only 5 inches on the drawing?
12.5 feet
What is the sum of complementary angles?
90 degrees
The world largest cookie is 70 yards in diameter. In order to move the cookie from state to state, they need to cut it in half. What is the area of one half of that cookie needing transport?
1923.25 yd2