Exponents
x4 * x7 =
x11
Triangle ABC is dilated by a scale factor of 1.5 to create triangle A’B’C’. Is the following statement true or false?
Segment AB is congruent to segment A’B’.
True
The area of a rectangle is 36 square units. The length is 4 and the width is 2.5x+1.5. Set up and solve an equation to find the value of x.
x = 3
Find r, the length of the ramp to the nearest tenth if the two base of the ramp is 14 inches and the height is 7 inches.
15.7 inches
Write the expression for the volume of a cone with a height of 14.25 inches and a radius of 4.5 inches?
⅓(π)(4.5²)(14.25)
(y3)2 =
y6
Andrew is at an airport where the largest airplane weighs 3 × 10⁵ pounds, and the smallest airplane weighs 12,500 pounds. How many times heavier is the largest airplane than the smallest airplane?
24 times
Solve the system of equations.
y=x-5
5x+2y=4
(2, -3)
Titus is building a triangular frame with three pieces of wood that measure 5 inches, 8 inches and 10 inches. Does this make a right angle? EXPLAIN why or why not.
The frame will not be a right triangle because 5² + 8² ≠ 10².
A cylinder has a volume of 8,792 cubic units. If the height of the cylinder is 7 units, which of the following represents the radius of the cylinder? Use 3.14 for pi.
20 units
(x2yz3)6 =
x12y6z18
Kameron has a combination of quarters and nickels in his wallet. The number of nickels is three times the number of quarters he has. If the total value of the coins is $2.00, how many quarters does Kameron have in his wallet?
5
At Sunrise Donuts you can buy 6 donuts and 2 kolaches for $8.84. One kolache and 4 donuts would cost $5.36. What is the price of one donut at Sunrise Donuts?
$0.94
Shantel read that the distance between the sun and Mercury is about 36,000,000 miles. Which of the following correctly represents this distance in scientific notation?
3.6 x 10⁷
Oscar needs to fill a sphere-shaped balloon with helium. If the balloon has a diameter of 8 inches, what is the total amount of helium that the balloon will hold to the nearest tenth?
268.1 in³
(z2 * z6) / z4 =
z4
In Triangle JKL, angle J is 7x+2, angle K is 8x, and angle L is 4x+7. What does x equal?
x=9
What type of solution does this equation have?
4(12-3x)=-12x+48
Infinitely many
The base of the square pyramid shown has an area of 576 units². If the slant height of the pyramid is 20 units, what is the height of the pyramid?
16 units
Joyce has a cone shaped planter hanging on her back porch. If the planter has a radius of 6.8 inches and a height of 12.2 inches, what is the total amount of soil that the planter will hold to the nearest tenth?
590.8 in³
A professional basketball stadium can hold 21,000 people. A motor racing venue can hold 8.5 × 10⁴ people. How many more people can the motor racing venue hold than the basketball stadium? Express your answer in scientific notation.
6.4 × 10⁴
In Triangle JKL, angle J is 7x+2, angle K is 8x, and angle L is 4x+7. What is the measure of angle K
72 degrees
What type of solution does this equation have?
-4(12-3x)=-12x+48
x=4
Greta takes a cab ride along Avenue F and Avenue G. Jack takes a cab ride along Avenue H. Avenue G is 35 miles and Avenue H is 37 miles. How many miles shorter is Jack’s cab ride than Greta’s?
10 miles
Stan is serving lemonade at the school’s dance from a cylindrical container with a diameter of 20 inches and a height of 36 inches. If the lemonade is poured into cone-shaped cups with a radius of 2 inches and a height of 5 inches, how many full cups can be filled from the cylindrical container?
540 cups