QUESTION 1

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.

  1. 1.25d + 2.50c
  2. 3.75cd
  3. d + c
  4. 2.50d + 1.25c
QUESTION 2

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?

  1. 1.1x = 14
  2. 2.1x = 14
  3. x + 14 = 1.1x
  4. 1.1x + x = 14
QUESTION 3

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?

  1. 163x = 295
  2. 128 + 35x = 295
  3. 35x = 295
  4. 35x - 128 = 295
QUESTION 4

Which expression can be used to determine the number of square tiles in stage n?

  1. n + 5
  2. 5n
  3. 2n + 5
  4. 5n + 2
QUESTION 5

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 3 2
2 3
3 11 2
4 9
5 27 2
6 19
n ?

Which expression best represents the value of the nth term?

  1. n2 2
  2. n2 + 1 2
  3. n2 + 1
  4. n2 + 2 2
QUESTION 6

In the function f(x) = 10x + 3, what is the value of f(-2)?

  1. 23
  2. -23
  3. -17
  4. 17
QUESTION 7

If f(-2) = -5, which of the following best represents f(n)?

  1. x2 − 5
  2. x2 + 2x − 5
  3. 2x − 5
  4. x2 + 2x
QUESTION 8

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?

  1. {4, 10, -11, -14}
  2. {-34, 10, -14, 38}
  3. {34, 10, -11, -14}
  4. {4, 10, -14, 38}
QUESTION 9

Given the function f(x) = 2x2 + 5x - 20, what is the value of f(3)?

  1. 31
  2. 53
  3. 7
  4. 13
QUESTION 10

Which expression is equivalent to 4(1 - x) + 3x + 2(x + 4)?

  1. x + 12
  2. x + 8
  3. 4x + 8
  4. 9x + 12
QUESTION 11

Which expression is equivalent to 2x(3x − 8) + 3 − (4x + 3x2)?

  1. 9x2 − 4x − 5
  2. 9x2 − 20x + 3
  3. 3x2 − 4x − 5
  4. 3x2 − 20x + 3
QUESTION 12

Which expression is equivalent to -10x + 4?

  1. 2(3x + 4) + 4(-x + 3)
  2. 2(3x + 4) + 4(x + 3)
  3. -2(3x + 4) + 4(-x + 3)
  4. -2(3x + 4) + 4(-x − 3)
QUESTION 13

Write an expression for the perimeter of the triangle shown below.
triangle

  1. 10x − 1
  2. 9x
  3. 10x − 5
  4. 10x + 5
QUESTION 14

Solve the equation 4(-2x + 3) + 5 = -5(2x − 1) + 6 for x.

  1. x = 3
  2. x = -3
  3. x = 3 2
  4. x = -8
QUESTION 15

If (4, y) is a solution to the equation 2x + 3y = 2, what is the value of y?

  1. y = -2
  2. y = 2
  3. y = -5
  4. y = 5
QUESTION 16

Which of the following is equivalent to 2x - 3y ≥ - 18?

  1. y 2 3 x + 6
  2. y 2 3 x + 6
  3. y ≥- 2 3 x − 6
  4. y ≤- 2 3 x − 6
QUESTION 17

Which of the following is equivalent to 5x + 3y > -9?

  1. y > - 5 3 x − 9
  2. y > - 14 3 x
  3. y > - 5 3 x − 3
  4. y > -5x − 3
QUESTION 18

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?

  1. (3x − 1)
  2. (3x + 1)
  3. (2x − 3)
  4. (2x + 3)
QUESTION 19

A large rectangular coffee table has an area of 2x2 + 11x + 12 square units. Which expression represents the dimensions of the rectangular coffee table?

  1. (2x + 3)(x + 4)
  2. (2x + 4)(x + 3)
  3. (2x + 6)(x + 2)
  4. (2x + 2)(x + 6)
QUESTION 20

Simplify the algebraic expression 4(x + 3) − 2(3x − 1).

  1. -2x + 2
  2. -2x + 10
  3. 10x + 11
  4. -2x + 14
QUESTION 21

Which expression is equivalent to 3x(4x − 5) + 3x − 5(2x − 3x2)?

  1. 27x2 − 22x
  2. 9x2 − 7x − 5
  3. 5x2
  4. 5x
QUESTION 22

Simplify the algebraic expression -3x(2x − 4y) + 2(-5xy + 7y2).

  1. -6x2 − 10xy − 4y + 7y2
  2. -6x2 + 2xy + 14y2
  3. 10x2y2
  4. 13x2y2
QUESTION 23

How would the equation y = -4x + 7 be expressed in function notation?

  1. y = -4(f(x)) + 7
  2. f(x) = -4(f(x)) + 7
  3. f = -4x + 7
  4. f(x) = -4x + 7
QUESTION 24

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?

  1. $1080.00
  2. $1330.00
  3. $319.00
  4. $7080.00
QUESTION 25

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?

  1. 5.5 hours
  2. 4.5 hours
  3. 6 hours
  4. 5 hours