Questions

For all of the problems in this unit, state the answer or the letter of the correct answer, whichever is appropriate.

For the first two problems, find the slope of a line containing the indicated points.

1) (4, 6) and (1, –3)

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2) (–3.5, 2) and (4.2, 7)

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For the next four problems, write an equation in slope-intercept form for each line.

3) a line passing through (2, 7) with a slope of 3

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4) a line passing through (4, 2) and (5, 4)

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5) a line containing (2, 5) and parallel to “y = x + 6”

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6) a line containing (8, 16) and perpendicular to “y = 2x + 12”

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7) Solve for “y”.

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8) Simplify.

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9) Solve the absolute value equation for “x”.

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10) Solve the absolute value inequality for “x”.

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11) Evaluate the function for g(–2).

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12) Find the value of 4 + 5[14 – (8 + 3)].

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13) Find the value of the determinant.

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14) Perform the indicated operations.

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15) Perform the indicated operations.

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16) Simplify.

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17) Simplify.

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18) Solve for “x and y” using elimination or substitution. Write the answer as an ordered pair.

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19) Factor.

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20) Factor.

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21) Factor.

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22) Factor.

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23) Solve.

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24) Solve for “x”.

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25) Solve for “x”.

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26) Multiply and simplify.

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27) Multiply and simplify.

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28) Compute and simplify.

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29) Rationalize the denominator and simplify.

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30) Rationalize the denominator and simplify.

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31) Multiply.

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32) Divide.

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33) Multiply.

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34) Divide.

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35) If two fractions have the denominators shown below, what is the least common denominator?

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36) Find the difference.

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37) Find the difference.

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38) Divide.

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39) Solve for “x”.

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40) What is the equation of the parabola shown below?

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41) Find the distance between the points (2, 5) and (–4, 1).

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42) Find the radius of the circle whose equation is:

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43) Which equation is graphed below?

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44) Which is the graph of the given equation?

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45) Which is the graph of the given equation?

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46) Which is the graph of the given system?

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47) Which of these is the equation of a parabola that has the following properties: focus (1, –2) and directrix x = 3?

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For the next fifteen questions, match the terms listed below with the correct phrase or expression. State the letter of the correct term.

48) the slope of “y = 2x + 3”

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49) the slope of a line through (3, 4) and (4, 1)

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50) a monomial with degree 2

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51) an imaginary number

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52) the range of {(1, 5), (–2, 3), (0, 2)}

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53) Complete the phrase given below.

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54) Complete the phrase given below.

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55) Complete the phrase given below.

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56) Complete the phrase given below.

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57) Identify the general expression given below.

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58) Identify the general expression given below.

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59) Identify the general expression given below.

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60) Identify the general expression given below.

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61) The equation below is an example of which conic?

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62) is used to determine if a relation is a function

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In the next three problems, find the probability of each event happening.

63) A spinner is evenly divided into 10 equal areas and numbered from 1 through 10. What is the probability of spinning a number less than 4 in a single spin?

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64) A box contains 4 yellow balls, 5 green balls, and 3 blue balls. Find the probability of obtaining a yellow ball in a single random draw.

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65) Determine the probability that you will roll the number 7 on a die.

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66) A dinner menu consists of 6 different kinds of sandwiches, 2 kinds of soup, and 6 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?

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67) Evaluate.

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68) Evaluate.

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69) Mary, Bozo, Lee, Jan, Jay, and Nelly are on the academic challenge team. The club advisor will assign students to 3-person teams at the next competition. How many different 3-person teams can be formed from these six students?

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70) The state lottery consists of drawing 6 numbers from the first 49 positive integers. Find the probability of winning the lottery.

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71) A spinner is numbered from 1 to 8 with each number equally likely to occur. What is the probability of obtaining a number less than 4 or greater than 6 with a single spin?

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72) A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the die shows a 4 or 5?

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