Math 10 Second Quarter Review Questions PDF

**Reviewer in Math 10 (Second Quarter)** 1. **If the Leading Coefficient Test is a test that uses the leading term of the polynomial function to determine the right-hand and the left-hand behaviors of the graph, then** what is the leading coefficient of the polynomial function f(x) = 4...

**Reviewer in Math 10 (Second Quarter)** 1. **If the Leading Coefficient Test is a test that uses the leading term of the polynomial function to determine the right-hand and the left-hand behaviors of the graph, then** what is the leading coefficient of the polynomial function f(x) = 4x + 2x^3^ +1? Ans. 2 2. A polynomial function of first degree is called \_\_\_\_\_\_\_\_. Ans. Linear Function 3. An example of a polynomial function in standard form. Ans. 𝑓(𝑥) = 5x^3^ − x ^2^ + 6x + 8 4. The coordinates of the midpoint of a segment whose endpoints are (x~1~, y~1~) and (x~2~, y~2~) is \_\_\_. Ans. [ ]{.math.inline} [\$(\\frac{x\_{1}\\ + \\ x\_{2}}{2},\\ \\frac{y\_{1\\ } + \\ y\_{2}}{2})\$]{.math.inline} 5. Which of the following equations describe a circle on the coordinate plane with center at point (h, k) and a radius of r ? Ans. (x -- h)^2^ + (y -- k)^2^ = 4^2^ 6. A rectangular box has a volume (V) of[ 6000 *cm*^3^]{.math.inline}. The measure of its length (L) is 30 cm, and the measure of its width (W) is 20 cm. How would you represent the measurement of its height (H) if the formula for the volume of a rectangular box is V = LWH? Ans. H = [\$\\frac{6000}{(30)(20)}\$]{.math.inline} For items 7 , refer to the figure at the right. Given: GL is a diameter of ʘD. 7. What kind of arc is GSL? Ans. semi-circle [**∠**]{.math.inline} GOL is inscribed in a circle that intercepts GL. If m[∠ ]{.math.inline}GOL=[\$\\frac{1}{2}\$]{.math.inline} GL, then what kind of angle is [∠ ]{.math.inline}GOL? Ans. inscribed angle 8. To graph a polynomial function, one of the important steps is to determine the x-intercepts. Given a polynomial function in factored form y = (x+4) (x+2) (x-1) (x-3), the x-intercepts are; Ans. -4, -2, 1 and 3 9. **Which of the following statements is TRUE about a tangent?** **Ans. A tangent intersects a circle at exactly one point.** 10. The first step in determining the figure formed when the points M(3, 7), N(11, 10), L(11, 5) and O(3, 2) are connected consecutively is to \_\_\_\_\_\_\_\_. Ans. Plot the given points accurately. 11. Which of the following formula represents the distance *d* between the two points ([*x*~1~]{.math.inline}, [*y*~1~]{.math.inline}) and ([*x*~2~]{.math.inline}, [*y*~2~]{.math.inline})? Ans. d = [\$\\sqrt{(x\_{2} - x\_{1})\\ ² + (y\_{2} - y\_{1})\\ ²}\$]{.math.inline} 12. What is the length of the radius of the circle in the equation **(x -- 7)^2^ + (y -- 8)^2^ = 100? Ans. 10** first step in graphing the circle on a coordinate plane with its equation written in general form x^2^ + y^2^ + Dx + Ey + F = 0 is to \_\_\_\_\_\_\_. Ans. Rewrite the equation in a center -- radius form 13. A cellphone tower located at a point with coordinates (3, 5) can send a signal up to 12km - radius. The house of Jerry is located at a point with coordinates (3, --8). Will Jerry receive a signal from the tower or not? Ans. No, because his house is beyond the signal reach of the tower. 14. Point R is the midpoint of QS. Which of the following is true about the distance among Q, R and S? Ans. The distance from Q to R is the same as the distance from R to S. For item numbers 15-16, refer to the figure. 15\. What kind of arc is AB if m AB = 100? Ans. minor arc 16\. Xian was asked to solve for the measure of [∠]{.math.inline}**ABD.** What must he do first to solve the problem? **Ans. Determine the measure of its intercepted arc which is AEB.** 17\. Your classmate Therwin encounters difficulties in showing the sketch of the graph of [ ]{.math.inline} [*y*= 2*x*^3^ + 3*x*^2^ − 4*x* − 6.]{.math.inline} You know that the quickest technique is the Leading Coefficient Test. You want to help Therwin in his problem. What hint/clue should you give? Ans. The graph falls to the left and rises to the right. 18\. A circle whose center is at the origin and with a radius r is represented by the equation [*x*^2^ + *y*^2^= *r*^2^]{.math.inline}. What then are the value of the coordinates of its center? Ans. ( 0, 0 ) 19\. Which of the following situations will best apply the concept of cubic polynomial equations/functions? Ans. Volume of a box 20\. If [**∠**]{.math.inline}CAT is inscribed in a circle and measured 40^O^, then how can the measure of its intercepted arc be obtained? Ans. multiply 40^O^ by 2 21\. There are four steps in solving problems involving polynomial functions. The first step is to \_\_\_\_\_\_\_. Ans. Transform the polynomial to its standard form. 22\. The graph of a polynomial function can have a maximum number of turning points that exceeds its degree. This statement is \_\_\_\_\_\_\_\_. Ans. False 23\. To determine whether a function is a polynomial, it must be evaluated against specific conditions related to the exponents of its variables. These conditions are correct EXCEPT \_\_\_. Ans. The variable should be in the denominator. 24\. Six points on a circle separate the circle into six congruent arcs. According to Paul, the degree measure of each arc is 60^O^. Is Pauls' claim correct? Ans. Yes 25\. Given the figure below, which figure illustrates a segment of a circle through the shaded portion? 26\. In circle O at the right, what is the m [∠]{.math.inline}LOE if the m LE = 140? Ans. 140 For numbers 27 and 28, refer to the graph of the polynomial function P(x) below: 27\. The turning points of a graph occur when the function changes from decreasing to increasing or from increasing to decreasing values. How many turning points does the graph have? Ans. 6  28\. How should the end behavior of the graph be described as? Ans. It rises to the left and rises to the right 29\. It is a line segment whose endpoints both lie on the circle. Ans. chord 30\. When you see a pie chart, the slice of each part resembles what concept in relation to circle? Ans. Sector of the circle Goodluck...........