TAILIEUCHUNG - SAT math essentials part 12

Tham khảo tài liệu 'sat math essentials part 12', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | PRACTICE TEST 2 Answer Key Section 1 Answers 1. b. Substitute 6 for m y--4 6 10 -y- 24 10 12 - 14 -2. 2. b. The midpoint of a line is equal to the average of the x- and -coordinates of its endpoints. The average of the x-coordinates -22 8 6 3. The average of the -coordinates -82 0 -y -4. The midpoint of this line is at 3 -4 . 3. e. If4x 5 15 then 4x 10 and x . Substi- tute for x in the second equation 10 5 25 5 30. 4. e. To find the total number of different guitars that are offered multiply the number of neck choices by the number of body choices by the number of color choices 4 2 6 48 different guitars. 5. c. The set of positive factors of 12 is 1 2 3 4 6 12 . All of the even numbers 2 4 6 and 12 are multiples of 2. The only positive factors of 12 that are not multiples of 2 are 1 and 3. 6. b. Be careful the question asks you for the num- ber of values off 3 not f x 3. In other words how many values can be generated when x 3 If the line x 3 is drawn on the graph it passes through only one point. There is only one value for f 3 . 7. d. Factor the numerator and denominator of the fraction x2 5x x x 5 x3 - 25x x x 5 x - 5 There is an x term and an x 5 term in both the numerator and denominator. Cancel those terms leaving the fraction x s. 8. c. The equation of a parabola with its turning point c units to the left of the -axis is written as x c 2. The equation of a parabola with its turning point d units above the x-axis is written as x2 d. The vertex of the parabola formed by the equation x 1 2 2 is found one unit to the left of the -axis and two units above the x-axis at the point -1 2 . Alternatively test each answer choice by plugging the x value of the choice into the equation and solving for . Only the coordinates in choice c -1 2 represent a point on the parabola x 1 2 2 2 -1 1 2 2 2 02 2 2 2 so it is the only point of the choices given that could be the vertex of the parabola. 9. a. When a base is raised to a fractional exponent raise the base to .

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