SOLVE
Mike and his three friends go out to eat and split the bill evenly. If each person paid $13, what was the total bill?
The total bill was 52 dollars.
= 13(1+3)
= 13(4)
= 52
The amount Mike gets paid weekly can be represented by the expression 2.50a + 290, where a is the number of cell phone accessories he sells that week. What is the constant term in this expression and what does it represent?
290, the amount he is guaranteed to be paid each week
The expression 1350(1.017)t represents the value in dollars of a comic book t years after its purchase. What is the yearly rate of appreciation of the comic book?
1.7%
1.017 - 1.00 = 0.017
0.017 * 100 = 1.7%
Is 5x - x2 + 16 a quadratic function?
Yes
What are zeros of the function f(x) = 3x2 – 3x – 6?
x = -1 and 2
= 3x2 - 3x - 6
= 3(x2 - x - 2)
= 3(x + 1)(x - 2)
x = -1 and x = +2
Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She decides to keep two boxes for herself. She brings 60 cookies to the party. Write out an equation can be used to find the number of boxes, x, Kendal bought.
12x - 60 = 60
Rhonda deposited $3,000 in an account in the Merrick National Bank, earning 4.2% interest. She made no deposits or withdrawals. Write an equation that can be used to find B, her account balance after t years.
B = 3000(1.042)t
What is an expression equivalent to x2 + 5x - 36?
(x + 9) (x - 4)
Kendal bought x boxes of cookies to bring to a party, each box containing 12 cookies. If she brings 60 cookies to the party, but decides to keep two boxes for herself. How many boxes of cookies did Kendal buy?
x = 7
7 boxes of cookies
60 = 12x - 24
84 = 12x
7 = x
To watch a varsity basketball game, spectators must buy a ticket at the door. The cost of an adult ticket is $3.00 and the cost of a student ticket is $1.50. If the number of adult tickets sold is represented by a and student tickets sold by s - write an expression represents the amount of money collected at the door from ticket sales.
3.00a + 1.50s
Krystal was given $350 when she turned 2 years old. Her parents invested it at a 2% interest rate compounded annually. No deposits or withdrawals were made. Which expression can be used to determine how much money Krystal had in the account when she turned 18?
350(1 + 0.02)16
The expression –4.9t2 + 50t + 2 represents the height, in meters, of a toy rocket t seconds after launch. What was the initial height of the rocket, in meters?
2 meters
Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, x, which can be represented by g(x) = 185 + 0.03x. Jim is paid $275 per week plus 2.5% of his total sales in dollars, x, which can be represented by f(x) = 275 + 0.025x. Determine the value of x, in dollars, that will make their weekly pay the same.
x = 18,000
185 + 0.03x = 275 + 0.025x
0.005x = 90
x = 18,000
Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bags of popcorn and three drinks. Zachary spends a total of $27.50 for four bags of popcorn and two drinks. Determine and state the price of a bag of popcorn and the price of a drink, to the nearest cent.
A bag of popcorn costs $5.75 and each drink costs $2.25.
18.25 = 2P + 3D
27.50 = 4P + 2D
The height, f(x), of a bouncing ball after x bounces is represented by f(x) = 80(0.5)x. How many times higher is the first bounce to the fourth bounce?
8
80(0.5)1 = 40
80(0.5)4 = 5
40/5 = 8
In the equation x2 + 3x – 18 = (x + a)(x + b), a is an integer. Find algebraically all possible values of a.
a = 3 or -6
x2 + 3x – 18
6 * -3 = -18 and 6 + -3 = 3