1. A movie-theater concession stand generates $1.25 for each large drink, d, sold and $2.50 for each large box of candy, c, sold. Write an expression to represent the total amount of money generated for an evening of sales.
The length of an alligator's body on average is 1.1 times the length of the tail. A large alligator at a zoo is 14 feet long. Which equation could be used to find, x, the length of the alligator's tail?
Callie is saving money to buy a new cell phone that costs $295. She saved $128 so far and is planning to save an additional $35 a week. Which equation could be used to find, x, the number of weeks she needs to save in order to have enough money to buy the phone?
Which expression can be used to determine the number of square tiles in stage n?
The table shows the value of a term in a given position in a sequence of numbers that follow a pattern.
Position | Value of Term |
---|---|
1 | three-halves 3 2 |
2 | 3 |
3 | eleven-halves 11 2 |
4 | 9 |
5 | twenty-seven-halves 27 2 |
6 | 19 |
n | ? |
Which expression best represents the value of the nth term?
In the function f(x) = 10x + 3, what is the value of f(-2)?
If f(-2) = -5, which of the following best represents f(n)?
If a function is described by f(x) = x2 − 10x + 10 and input values of {-2, 0, 3, 6}, which of the following is a corresponding output value?
Given the function f(x) = 2x2 + 5x - 20, what is the value of f(3)?
Which expression is equivalent to 4(1 - x) + 3x + 2(x + 4)?
Which expression is equivalent to 2x(3x − 8) + 3 − (4x + 3x2)?
Which expression is equivalent to -10x + 4?
Write an expression for the perimeter of the triangle shown below.
Solve the equation 4(-2x + 3) + 5 = -5(2x − 1) + 6 for x.
If (4, y) is a solution to the equation 2x + 3y = 2, what is the value of y?
Which of the following is equivalent to 2x - 3y ≥ - 18?
Which of the following is equivalent to 5x + 3y > -9?
A rectangle has a length of (3x + 2) and an area of 6x2 − 5x − 6 square units. Which expression represents the width of the rectangle?
A large rectangular coffee table has an area of 2x2 + 11x + 12 square units. Which expression represents the dimensions of the rectangular coffee table?
Simplify the algebraic expression 4(x + 3) − 2(3x − 1).
Which expression is equivalent to 3x(4x − 5) + 3x − 5(2x − 3x2)?
Simplify the algebraic expression -3x(2x − 4y) + 2(-5xy + 7y2).
How would the equation y = -4x + 7 be expressed in function notation?
Rebecca is saving money to buy a new computer. The rate she is saving is represented by f(x) = 250 + 45x; where x is the number of months she saves money. How much money will she have at the end of 24 months?
Allison has a babysitting business. She uses the function f(x) = 8.50x to determine the fee she charges a customer. If she earned a total of $46.75, f(x) = 46.75 in one evening, how many hours, x, did she babysit?