Question 1

Given the relation \{(1, -8), (-7, 8), (-3, 7), (-3, -5)\}, is this relation a function? What are the domain and range?

Accepted Answer

Not a function; domain = \{-3, -7, 1\}; range = \{7, 8, -8, -5\}

Question 2

Jenny is a software saleswoman. Let $$P be $$Jenny's total pay (in dollars) and $$N be $$the number of software copies sold. If $$P = 20N + 4200$$ for $$0 \leq N \leq 140$$, which set best describes the domain of this function?

Accepted Answer

$$\{0, 1, 2, \ldots, 140\}$$

Question 3

Evaluate $$f(-3)$$ for $$f(x) = x^2$ - 3x - 5.$$

Accepted Answer

$$13$$

Question 4

A plant is already 12.75 meters tall and grows 15 centimeters every month. If $$H(x) = 0.15x + 12.75$$ models the height in meters after $$x$$ months, what is the height after 30 months?

Accepted Answer

$$17.25$$ meters

Question 5

Solve the system by substitution: $$x = -8 - 6y$$, $$2x + 5y = -2. $$What is the value of $$y$$?

Accepted Answer

$$y = -2$$

Question 6

Solve the system by elimination: $$4x + 9y = 51$$, $$-2x + 4y = 34. $$What is the value of $$x$$?

Accepted Answer

$$x = 5$$

Question 7

Given the system $$x + y = 3$$ and $$4x + 4y = 12$$, what is the value of $$y$$?

Accepted Answer

$$y = 3$$

Question 8

A customer buys 5 hot dogs and 3 bags of chips for $$9.25. Another buys 4 hot dogs and 5 bags of chips for 10.00. $$What is the cost of one hot dog?

Accepted Answer

$$1.50$$

Question 9

For the inequality $$y \u003c -5x - 2$$, which of the following points is a solution?

Accepted Answer

$$(3, -16)$$

Question 10

Simplify: $$2x \cdot 3w^7$ \cdot 5x^3$ w^7$ (write with positive exponents only).

Accepted Answer

$$30x^4w$$^{14}$

Question 11

Simplify: $$\dfrac{45m^4$n^3$$}{$$10m^5n$$}$ (write with positive exponents only).

Accepted Answer

$$\dfrac{9n^2$}{2m}$$

Question 12

Multiply: $$-7x^7(-12x^4$ - 5x^2$ + 8)$

Accepted Answer

$$84x^{11}$$ + $$35x^9$$ - $$56x^7$$

Question 13

Divide: $$\dfrac{48x^2$ + 12x - 24}{6x}$$

Accepted Answer

$$8x + 2 - 4/x$$

Question 14

Subtract: $$(-2x^3 + 3x - 1$$) - $$(4x^3$$ - $$5x^2 - 6x + 8$$)$$

Accepted Answer

$$-6x^3$$ + $$5x^2 + 9x - 9$

Question 15

Multiply: $$(x^2 - 3x + 1)(7x - 1$$)$$

Accepted Answer

$$7x^3$$ - $$22x^2 + 10x - 1$

Question 16

Divide: $$\dfrac{4x^2$ - 11x + 20}{x - 3}$$

Accepted Answer

$$4x - 11 + \dfrac{13}{x-3}$$

Question 17

Given the graph of $$y = f(x) ($$see first image), what is the domain and range of the function in interval notation?

Accepted Answer

Domain: $$[-3, 1]$$, Range: $$[-4, 1]$$

Question 18

Given the graph of $$y = f(x) ($$see first image), is this graph a function? Why?

Accepted Answer

Yes, because each $$x-$$value has only one $$y-$$value.

Question 19

Given the graph of $$y = f(x) ($$see second image), what is the equation of the graph?

Accepted Answer

$$y = |x| - 2$$

Intermediate Algebra: Functions, Systems, and Polynomials Study Guide

Study Guide - Practice Questions

Study Guide - Flashcards