GEOMETRY
DOUBLE JEOPARDY! (200 POINTS!)
What is the perimeter of a square that has an area of 25?
What is:
20
Simplify.
(x^3)(x^4) = ?
What is:
x^7
(x^3)(x^4) = x^3+4 = x^7
if d = rt, where d is distance, r is rate, and t is time, how long, in hours, will it take Derron to drive 180 miles at an average rate of 45 miles per hour?
What is:
4 Hours
Solve for x:
3(4x - 2) - 3x = x + 3
What is:
x = 9/8
At Target, the hoodie was 30% off the original price. what is the sale price if the original was $22
What is:
$15.40
If Triangle ABC is congruent with Triangle DEF, then angle BAC is congruent with angle _____________?
What is:
Angle EDF
DOUBLE JEOPARDY! (400 POINTS!)
(7x - 5)(3x^2 + 4x - 1)
What is:
21x^3 + 13x^2 - 27x + 5
Susan weighs p pounds. If Susan gains 17 pounds, she will weigh as much as Carol, who weighs 8 pounds less than Judy. If Judy weighs x pounds, then Susan's weight, p, in terms of x is _________
(Hint: your answer will be an expression containing x!)
What is:
p = x-25
If f(x) = 5x^2 +13x - 2 , Then f(2)=?
What is:
f(2) = 44
Find the interest.
Savings Account Deposit: $1200
Interest Rate: 7%
Time: 2 Years
What is:
$168
The line segment AB is 15 inches long, where P is a point in the segment AB. If AP = 2x+1 and PB = 4(x - .25), whats the value of x?
(Hint: AP + PB = AB)
What is:
x = 2.5
Simplify.
Square root of -56
(Hint: i = Square root of -1)
What is:
2i Square root of 14
When the number of people who contribute equally to a gift decreases from four to three, each person must pay an additional $10. What is the cost of the gift?
(Hint: Make an equation!)
What is:
$120.
DOUBLE JEOPARDY! (600 POINTS!)
Simplify (x + 2)^2 - x^2
(FOIL and GCF)
What is:
4(x+1) or 4x+4
Note: x^2 + 4x + 4 - x^2
Aldo put $400 into a savings account that paid an interest rate of 5.4% per year. What was the total amount at the end of one year?
(Total amount = deposit plus interest)
What is:
$421.60
Triangle ABC is an Isosceles Triangle where AB is congruent to BC. if angle ABC is 80 degrees, find the measure of the remaining interior angles.
What is:
Both 50 Degrees
Factor.
x^2 + 18x + 81
What is:
(x + 9)^2
or
(x + 9)(x + 9)
DOUBLE JEOPARDY! (800 POINTS!)
Fruit for a dessert costs $1.20 a pound. If 5 pounds of fruit are needed to make a dessert that serves 12 people, what is the cost of the fruit needed to make enough of the same dessert to serve 24 people?
What is:
$12.00. If 5 pounds of fruit serve 12 people, then 5/12 pound serves one person, so 24 x 5/12 = 10 pounds. Since the fruit costs $1.20 a pound, the cost of the fruit needed to serve 24 people is 10 x $1.20 = $12.00.
For the system of equations: 3x-4y=7, 2x+4y=3, what is x and y?
What is:
x = 2
y = -1/4
Worker earned $1,263.80. F.I.C.A. is 6%. Federal tax is 28%. State tax is 4%. How much money total is being deducted from the worker's paycheck?
What is:
$480.24
Use the Pythagorean to solve for c:
a = 5, b = 12
(Hint: a^2 + b^2 = c^2)
What is:
c = 13
Solve for x.
2(x - 5) + 3x < 4(x - 6) + 3
What is:
x < -11
or
(-infinity, -11)
A baker produces 400 brownies a day at a production cost of $0.25 each per brownie. If all the brownies are sold each day, what is the minimum selling price per brownie to make a daily profit of AT LEAST $420?
(Hint: Production cost needs to be deducted from profit to find right answer!)
What is:
$1.30
400 x .25 = $100 production Cost
$1.30 x 400 = $520 Profit - $100 Production cost = $420
Solve for b:
b+3>0 and 1>2b-9
What is:
b>-3, and b<5. Since b is an integer, b may be equal to any of the following: -2, -1, 0, 1, 2, 3, or 4.
(-3, 5) or -3 < b < 5
Double Jeopardy! (1000 Points)
Employee worked 40 hours at $12.00 per hour. F.I.C.A. is 6%. Federal tax is 16%.State tax is 2%. What was the employee's Net Pay? (Hint: Gross - Deductions!)
What is:
$364.80