A.CED.A.3/4
The formula for the volume of a rectangular prism is:
V = L x W x H
What is the result if the equation is solved for H?
H = (V) / (L x W)
The area of a circle is given by the formula shown, where r is the radius of the circle.
A=πr2
If the area of a circle is 16π square units, what is the radius of the circle?
4 units
Consider the system of equations.
y = -2x - 7
x = -3What is the solution to the system of equations?
(-3, -1)
Write an equation of the line that passes through the points (2, -7) and (4, -9).
y = -x - 5
Write an equation to represent the following statement:
Two less than five times a number is nine
5n - 2 = 9
You are cutting an 11.5 inch by 14 inch sheet of poster board into strips that are 1 inch wide. If you place the strips end-to-end to form one long strip, what is the total length of the long strip?
161 inches
Given the equation 5 - y1 = m (x - x1), what is the resulting equation when solving for y?
x = (5 - y1 + mx1) / (m)
Kyra went to the grocery store on Monday and bought 5 apples and 2 oranges for a total of $3.45. On Thursday she bought 3 oranges and 7 apples for a total of $4.90..
$6.60
What is the solution to the following system of equations?
f(x) = |x + 4|
g(x) = -x + 5
(3, 2)
The square of the sum of a positive number and 2 is equal to 9. What is the number?
1
A phone company charges a monthly fee of $13 plus 12 cents per text message. Another company charges $20 each month plus 8 cents per text message for the same plan.
How many text messages will have to be sent for the cost of a phone plan from the first company to equal the cost of a phone plan from the second company?
175
For a science project, Joseph launches a model rocket. The function h(s)=-3s2+6s+45 represents the height in feet of the rocket after s seconds. How many second(s) will it take the rocket to hit the ground?
5 seconds
Felipe is solving this system of equations. He got (4, 7) as his solution.
1.5x + 2y = 202
5x - 5y = -25
Is Felipe correct?
Yes, because the solution checks for both equations.
How many times do the functions f(x) = x + 1 and g(x) = x2 intersect?
2
The sum of three consecutive odd integers is 153. What is the value of the largest of the integers?
53
A regular pentagon has a side length of (x + 6) units. The perimeter of the pentagon is represented by the equation P = 5(x + 6) units.
What is the equation when solved for x?
x = (P/5) - 6
What are the solution(s) to the quadratic equation (x + 3) = 36?
x={-9, 3}
John and Julia work at a zoo and have to carry food to the tiger cages. Each trip John carries 40 pounds of food, and Julia carries 15 pounds from the food truck to the tigers. Combined they took 17 trips to feed the tigers and carried a total of 505 pounds of food.
How many trips did John and Julia each take?
John took 10 trips, and Julia took 7 trips.
Is (3, 5) a point of intersection for f(x) = 2x - 1 and g(x) = (1/3)x + 4?
Yes
Selena wants to sell hot dogs at a local sports arena. She must pay a fee of $25 to sell hot dogs and estimates each hot dog will cost her $0.75. Selena plans on selling each hot dog for $2.00.
What is the minimum number of hot dogs (x) Selena needs to sell for the revenue to be greater than or equal to her cost?
20 hot dogs
The speed of Stephen's car is 14 mph slower than that of John's car. If the time taken by John's car to travel 660 miles is equal to the time taken by Stephen's car to travel 70 fewer miles, what is the speed of each of the cars?
The speed of Stephen's car is 118 mph and John's car is 132 mph.
Jonah threw a tennis ball straight up in the air. The ball traveled up to a maximum height, then fell back down to Earth. The height of the ball as a function of time is described by the function h = -16t2 + 50t + 6. At what time was the ball located exactly at height of 41 feet? (Round to the nearest hundredth.)
2.07 seconds
Danielle and her friends love the dinner combinations at Rosie's Restaurant. The specials and prices are as follows: Soup and Potato is $8.00, Salad and Potato is $7.75, and Soup and Salad is $7.25. What is the individual price of a salad?
$3.50
Homer's Newsstand has room for 100 newspapers. In his town, there are 2 newspapers: The Herald and The Daily News. Every day, Homer sells 20 Heralds and 25 Daily News to regular customers.
If he makes 5 cents for every Herald sold and 10 cents for every Daily News sold, how many Heralds and Daily News should Homer put on his stand to make the most money?
20 Heralds and 80 Daily News
A triangle has sides A, B and C with a perimeter of 85cm. If side A is 5 less than side B, and side C is twice the length of side A, what is the length of side A, in centimeters?
20cm