GEOMETRY
The perimeter of a square is 8 cm. What is the area?
4 cm squared
If you were to solve this equation x^2 - 10x=-12 by completing the square, what would need to be added to both sides?
25
Express the gross salary G of a person who earns $10 per hour as a function of the number x of hours worked.
G(x)=10x
A young adult may be defined as someone older than 21, but less than 30 years of age. Express this statement using inequalities.
21<age<30
Find the area of a triangle with height 4 inches and base 2 inches.
4in squared
The measure of one supplementary angle is twice the measure of the second. What is the measure of each angle?
60° and 120°
Rewrite the function f(x)=x^2 if it were shifted to the left 2 and moved down 5.
F(x)=(x+2)^2 -5
How many feet does a wheel with a diameter of 16 inches travel after four revolutions?
About 16.8ft
Solve for x.
x/3=(2x+3)/7
X=9
Find all points on the x-axis that are 5 units from the point (4,-3)
(0,0) and (8,0)
The hypotenuse of a right triangle measures 13 centimeters. Find the lengths of the legs if their sum is 17 centimeters.
5cm and 12cm
Rewrite log base 8 of 512 = 3 into exponential form.
8^3 = 512
A statue with a circular base of radius 3 ft is enclosed by a circular pond with a radius 2 ft more than the statue base. How much fence is required to enclose the pond?
10 pi ≈31.42
What part of the graph of the following function should be shaded f(x)>=-43x = 163
Above the line
If f(x)=(3x+8)/(2x-A) and f(0)=2, what is the value of A?
A=-4
The area of the opening of a window is to be 143 square feet. If the length is to be 2 feet more than the width, what are the dimensions?
11ft by 13ft
Which expression represents the quotient?
(8x^6 z^4 +4x^4 z^2)/(4x^2 z)
2x^4 z^3 +x^2 z
A bathroom tub will fill in 15 minutes with both faucets open and the stopper in place. With both faucets closed and the stopper removed, the tub will empty in 20 minutes. How long will it take to fill the tub if both faucets are open and the stopper is removed?
1hr
Carol is three times older than Andrew. Brad is two years older than Andrew. In six years, the sum of Andrew’s and Brad’s ages will be the same as Carol’s age. How old is Carol?
24 years old
How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 60% antifreeze?
Add 2/3 gal of water
The midpoint of a segment is (3,6). If one endpoint is (4,7), what is the other endpoint?
(2,5)
For f(x)=-2(x-340)^2 +123 state the vertex, maximum/minimum, and direction the parabola opens.
Vertex=(340,123)
maximum=123
opens downward
A coffee house has 20 pounds of a coffee that sells for $4 per pound. How many pounds of a coffee that sells for $8 per pound should be mixed with the 20 pounds of $4-per-pound-coffee to obtain a blend that will sell for $4 per pound?
6 1/2 pounds
4x+2y=-8 in slope intercept form, state the y-intercept(s), x-intercepts(s), and slope.
Y=-2x-4
y=-4 and x=-2
m=-2
A bank loaned out $12,000, part of it at the rate of 8% per year and the rest at the rate of 18% per year. If the interest rate received totaled $1000, how much was loaned at 8%?
$11,600 was loaned out at 8%