Percentages
Volume and Surface Area
Inequalities
Expressions
Random
100
Bill bought a shirt for $35.80 plus he paid an additional 7% in sales tax.
What was the final cost?
$38.31
100
The surface area of a cube is 486 square inches.
What is the volume, in cubic inches, of the cube?
729 in3
100
Jeff plays a game with 18 rounds. His goal is to keep his score under 104 points. He scores a combined total of 14 points in the first 3 rounds.
What is the average number of points that Jeff has to score less than in each remaining round to meet his goal?
6
100
Solve the expression
8.1(4c+2)-3(6.2c+5)
13.8c+1.2
100
A car is traveling down a highway at a constant speed, described by the equation d=65t, where d represents the distance, in miles, that the car travels at this speed in t hours.
What does the 65 tell us in this situation?
The car travels 65 miles in 1 hour. Or, the car is traveling 65 miles per hour.
200
Kathy bought a pair of jeans on sale for 30% off of the regular price. If the jeans regularly cost $75.00.
How much did she pay?
$52.50
200
A company sells a snow globe in a cubic box. The box has side lengths of 4.5 inches. The volume of the snow globe is 38.5 cubic inches. The remaining volume of the box is filled with packing foam to protect the snow globe.
What is the volume, in cubic inches, of the packing foam?
52.625 in3
200
Stella buys cupcakes for a party with 26 guests. She buys 10 vanilla cupcakes and there are 4 chocolate cupcakes in each box. She wants to make sure she has enough for each guest to have at least one cupcake.
What inequality can Stella use to determine the number of boxes of chocolate cupcakes, c, she should buy?
4c+10 <=26
200
Solve
-4x-10-5x-11
-9x-21
200
A student argues that y=x/9 does not represent a proportional relationship between x and y because we need to multiply one variable by the same constant to get the other one and not divide it by a constant.
Do you agree or disagree with this student?
Disagree. Dividing by 9 is the same as multiplying by 1/9.
300
A music store marks up the instruments it sells by 30%.
If the store paid $75 for a clarinet and sold it for $100, did the store mark up the price by 30%? Explain
No. The store marked the price up by or about 33.3% (rounded to the nearest tenth of a percent). The store needed to sell it for $97.50 to have a 30% markup.
300
Find the volume
707.25 ft3
300
Solve
Hannah buys a notebook for $6.50 and x pens for $2.25 each. She spends less than $20.00 in all
x<6
300
Solve the expression
2/5k+1/5(k+3) +3/5
3/5k+1 1/5
300
Circle A has area 500 in2. The diameter of circle B is three times the diameter of circle A.
Estimate the area of circle B.
About 4,500 in2. If the diameter is 3 times greater, the area must be 32, or 9 times greater.
400
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
How much was the tip in dollars?
$7.77
400
A cube has a surface area of 37.5 cubic inches.
What is the length of one edge of the cube?
2.5 inches
400
Nick’s band earns $250 for every show, s, it performs. The band has earned $1500 so far this summer.
Create an inequality that shows how many shows, s, the band needs to perform to have earned more than $2000 this summer.
250s+1500>2000
400
Solve
7.2n +3.4 +5.5n
12.7n + 3.4
400
A bank charges a service fee of $7.50 per month for a checking account.
A bank account has $85.00. If no money is deposited or withdrawn except the service charge, how many months until the account balance is negative?
12 months
500
Find each amount:
- 3.8% of 25
- 0.2% of 50
- 180.5% of 99
- 0.95
- 0.1
- 178.695
500
Find the surface area
302 cm2
500
Sawyer is participating in a fundraiser by swimming laps. He has raised $120 and will raise an additional $8 for each lap he swims. His goal is to raise more than $200.
What is the least number of whole laps Sawyer can swim to reach his goal?
11 laps
500
The side lengths of a triangle are represented by the expressions shown.
Side 1: 8 1/4x-1 5/8y
Side 2: 1/4x + 9y +5
Side 3: -1 3/4x +1 1/8y-2
What is the perimeter of the triangle?
6 3/4x + 8 1/2y +3
500
In order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint, 2 cups of green paint, and 1/2 gallon of white paint.
How much of each color is needed to make 100 cups of this shade of green paint?
Blue: 37 1/2 cups, green: 12 1/2 cups, white: 50 cups.