Algebra
Name a value that would make the inequality 3b is greater than 12 true.
Any number that is greater than 4
A student claims that 4 is the greatest common factor of 24 and 40, because the two numbers are both multiples of 4. Is the student's claim correct?
No. The greatest common factor is 8.
What is the volume of a cube with a side length of 4.5
91.125 units3
There are 104 calories in an 8 ounce serving of soda. How many calories are in 1 ounce of soda?
15.5 calories
The number 4 is 16% of what number?
25
Represent x is greater than or equal to 3 on a number line.
Closed circle at 3 with a line that goes to the right.
Write the expression that is equivalent to 4(3m + 1)
12m + 4
What is the area of a trapezoid with bases of 10 cm and 16 cm and a height of 15 cm?
195 cm2
An artist uses a ratio of 6 gallons of orange paint to 8 gallons of blue paint. If the artist uses 1 gallon of blue paint, how many gallons of orange paint will they use?
.75 gallons of orange paint
Ben purchases 1 1/4 pounds of nuts and puts them into bags. Each bag holds 1/8 pound of nuts. He uses all the nuts to fill each bag completely. How many bags does he fill with nuts?
10 bags
What is the value of the expression 82 divided by 4 x 23
64
What is the value of the expression 5b + c3 when b = 7 and c = 4?
35 + 64 = 99
My rectangular yard is 9 ft by 5 ft. Brady's trampoline is a triangle with a base of 4 ft and a height of 7 feet. What is the area of my yard that is NOT covered by the trampoline.
31 feet
CVS sells 6 pool noodles for $12.00. Value Drug sells 8 pool noodles for $14.00. Which store sells the pool noodles for a lower unit rate?
Value Drug is cheaper - $1.75 vs $2.00
What is the opposite of - 2 1/2?
2 1/2
Tammy and Jacob collect stamps. Tammy has s stamps. Jacob has 4 fewer than 3 times the number of stamps Tammy has. Write an expression to represent the number of stamps Jacob has.
3s - 4
If something is described as being "at sea level", what number would that be on the number line?
0
A shipping container in the shape of a right rectangular prism has a base with an area of 42 square feet. The height of the container is 5 3/4 feet. What is the volume of the shipping container?
241.5 feet3
A tutoring company charges $25.00 per hour to tutor a student. How many hours of tutoring would cost $62.50?
2.5 hours
A container holds 6 gallons of liquid. How many pints of liquid does the container hold?
48 pints
A student claims that the expression 6 + 8x is equivalent to the expression 3(3 + 5x). What is incorrect about the student's claim? Be sure to include an equivalent expression to 3(3 + 5x) in your response.
They added instead of multiply when they did the distributive property. The correct expression should be 9 + 15x
Lee makes a rectangular-shaped tile pattern by placing three tiles side by side, with no space between the tiles. The list below describes the shape of each tile and the order in which they are placed.
* The first tile is in the shape of a square with side lengths of x inches.
* The middle tile is shaped like a rectangle with a width of x inches and a length of 3x inches
* The third tile is shaped like a square with side lengths of x inches.
* The perimeter of the tile pattern is 60 inches. What is the value of x in this tile pattern?
x = 5
A square pyramid has a square base with a side length of 8 inches. Each of the triangular sides have a base of 8 inches and a height of 10 inches. Find the surface area of the entire shape.
224 inches2
A machine produces chocolates at a constant rate. In 42 minutes, the machine produces 7 pounds of chocolates. How long, in minutes, will it take the machine to produce 9 pounds of chocolates?
54 minutes
A box contains 8 1/4 cups of cereal. One servicing of cereal is 3/4 cup. How many servings of cereal are in the box?
3 2/3 servings