Geometry
In which quadrant/axis is (-7, 9)?
Quadrant 2
Solve:
3x + 2 = -19
x = -7
Which property is exemplified by: 6x + 0 = 6x
Identity Property
Find the LCM of 48 and 33.
528
Five more than the product of a number and negative six is -37. What is the number?
A sphere has a radius of 5 m. What is its surface area?
100pi " m"^2
Solve:
(2/3)/(4x) = 5/(3/11)
1/110
Which property guarantees that multiplication and addition can be done in any order?
Commutative Property
Give the prime factorization of 4200
2^3*3*5^2*7
The ratio of adults to children at an event was 3 to 8. There were 132 people total. How many were children?
96 children
What is the surface area of a cube whose volume is 512 m3?
384 m2
32
Which property is exemplified by:
4/3 * 3/4 = 1
Inverse Property
Write in scientific notation: 450,000,000,000
4.5 x 1011
Darnell bought a calculator that originally cost $23.00. The calculator was on sale for 30% off, and then Darnell used a coupon for $3 off. How much did he pay for the calculator?
$13.10
Find the surface area (in square feet) of a cone whose slant height is 20 ft and radius is 2 yards.
156pi "m"^2
Solve:
2x - 6 + 8x = -11(x + 1) - 12x - 11
-16/33
Use the distributive property to simplify:
3x(4x + 5y - 2) + 6x
12x2 + 15xy
Convert 350 mL to cubic miles. Simplify units but not the numerical portion of your answer.
350/((2.54)^3*(12)^3*(5280)^3)" miles"^3
Find 3x - 4 if the mean of x, x + 3, x + 7, and x + 10 is 20.
41
The slant height of a cone is 13 inches, and the base diameter is 10 inches. Find the volume.
400pi "in"^3
Solve:
3 1/3 + 3 1/4x = 1 1/2
1 14/39 or 53/39
What is the formula for the volume of a sphere?
Vsphere =4/3pi*r^3
Simplify:
root(3)(343/64)
7/4
The first period class with 40 students averaged 75% on their test. Then the second period class with 20 students averaged 90% on the same test. Find the overall average.
80%