Rational Numbers
What is 2 2/3 - (-3 2/6)?
6
Simplify the expression -4(7 - 2m) + 11m
19m - 28
It has to have a straight line AND go through the origin. (0,0)
The price of a ticket to a play is $50 per person. On Monday afternoons, the theatre reduces the ticket price to $35 per person. Students receive an additional $5 discount on all tickets. What it the percent discount for a student ticket to a Monday afternoon performance?
40%
What is the approximate area of a circle that has a diameter of 20 cm? (Use 3.14 for π.)
314.0 cm2
A gopher is in a hole that is 6 1/4 inches below the surface of the ground. It then digs 71/2 inches deeper. What is the gopher's new elevation relative to the surface of the ground?
-13 3/4
Marisol buys 3 notebooks that each cost the same amount and 1 calculator that costs $9. The total cost is $21. How much does each notebook cost?
$4
The marching band walks 1/15 miles in 1.5 minute. At this rate, how many minutes will it take to complete 1 mile?
22.5 minutes
Stephanie deposits $730 in an account that pays 2.8% simple interest. She neither adds more money nor withdraws any money from her account. What amount will be in Stephanie's account after 5 years?
(Hint: Find the percent of increase and multiply that by the amount of years.)
$832.20
A cube has side lengths of 8 inches. What is the surface area of the cube?
384 in2
Michelle is scuba diving. Her position changes from -2.1 m to -38.6 m in 6 1/4 minutes. What is the average change in Michelle's position each minute?
-5.84 m
What is the value of x in the equation -5.4 = 4x - 1.8 ?
-0.9
A contractor is given a scale drawing of a rectangular patio. The scale from the patio to the drawing is 4 ft. to 1 in. In the scale photo, the width of the patio is 2.5 in and the length is 4.25 in. What is the actual area of the patio?
170 ft2
The temperature in an oven changes from 350˚ to 362˚. What is the percent of change in temperature, to the nearest tenth?
3.4% increase
Marisela has 10 markers. There are 2 red markers and 2 blue. The rest are either black or green. When selecting a marker at random, it is more likely to select a black marker than a green marker. What is the least number of black markers that Marisela could have?
4 black markers
A water pipe is 4 7/12 feet beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?
-4.58333... ft
A cargo plane can hold at most 38,000 lb. There are 35 boxes on the plane. Each box weighs 625 lb. Write an inequality statement to show how many additional boxes of the same weight that the cargo plane hold.
625(b + 35) ≤ 38,000 OR 625b + 21,875 ≤ 38,000
Bronte walks 1.5 miles on a trail. Then he jogs at a speed of 5 miles per hour. Bronte's total distance walking and jogging is 5.25 miles. How long does he jog?
0.75 hour
At a local grocery store, a bottle of water costs $1.25. At a baseball stadium the cost of a bottle of the same brand water increases by 80%. What is the cost of the bottle of water at the stadium in dollars and cents?
$2.25
The Ramirez family has a circular garden with a diameter of 22 ft. They cover the garden with mulch. The cost of mulch is $1.25 per square foot. To the nearest dollar, how much will it cost to cover the garden in mulch?
$475
Fawn, Joey, and Caleb play a board game. Fawn's score is -28 points. Joey's score is 4/7 of Fawn's score. Caleb scores 3/4 as many points as Joey. How many points do they score in all?
-56 points
The length of a rectangle is represented by the expression 6x + 5. The width of the rectangle is represented by the expression 3x. The perimeter is 100 centimeters. Write and solve an equation to find the length and width of the rectangle.
Equation: 2(6x + 5) + 2(3x) = 100
Length: 35 centimeters
Width: 15 centimeters
The Spirit Club buys shirts in bulk for $8 each. They mark up the shirts 75% to sell in the school store. At the end of the year, they sell the shirts for 25% off. How much profit does the Spirit Club make on each shirt sold at the end of the year?
$2.50 on each shirt
Bob has a recipe for salad dressing. The recipe says to mix 1/4 cups of lemon juice, 1/8 cup of mustard, and 1/4 cup of vinegar. How much lemon juice does Bob need to make 4 cups of salad dressing?
13/5 cups of lemon juice
A right square prism has a base area of 25 cm2 and a surface area of 220 cm2. What is the volume of the prism in cubic centimeters?
212.5 cm3