Senior Math Summer Packet. A. f (x) = x B. f (x) = 2 x. C. f (x) = x 2 D. f (x) = sin x

Size: px

Start display at page:

Download "Senior Math Summer Packet. A. f (x) = x B. f (x) = 2 x. C. f (x) = x 2 D. f (x) = sin x"

Scott Hunter
5 years ago
Views:

1 Name: Date: 1. The set of scores on a mathematics test is 72, 80, 80, 82, 87, 89, and 91. The mean score is A. 8 B. 83 C. 82 D Which function is one-to-one? A. f (x) = x B. f (x) = 2 x C. f (x) = x 2 D. f (x) = sin x 2. Pat s grades on Course I tests were 90, 75, 98, 82, 90, and 87. The mode of her grades is A. 90 B. 89 C. 87 D If f (x) = x 1 3, then f (6) is equal to A. 1 B. 8 C. D. 3. The value of 2i 8 is equivalent to A. 2i B. 2 C. 2 D. 2i 7. The graph of the equation y = x 2 is a A. circle B. parabola. The expression i 0 i 1 i 2 i 3 i is equal to C. point D. straight line A. 1 B. 1 C. i D. i page 1

2 8. Which graph represents a one-to-one function? A. B. C. D. 9. Which graph could represent the equation y = x 2? A. B. 10. An equation of a hyperbola is A. x + y = 16 B. x 2 + y 2 = 16 C. x 2 y 2 = 16 D. 2x 2 + y 2 = 16 C. D. 11. Expressed in simplest form, i 16 + i 6 2i 5 + i 13 is equivalent to A. 1 B. 1 C. i D. i 12. A set of data consists of 3, 3, 6,, and 9. The median for these data is A. 6 B. 5 C. 3 D. page 2

3 13. The graph of the equation x y 2 = 25 is 17. The diagram below shows right triangle LMP. Which ratio represents the tangent of PLM? A. a circle B. a hyperbola C. an ellipse D. a parabola 1. The graph of xy = 10 is best described as A. 3 B. 3 5 C. 3 D. 5 A. an ellipse B. two intersecting lines C. a parabola D. a hyperbola 18. If the temperature in Buffalo is 23 Fahrenheit, what is the temperature in degrees Celsius? [Use the formula C = 5 9 (F 32).] A. 5 B. 5 C. 5 D In the accompanying diagram, m A = 2x 30, m B = x, and m C = x Find the number of degrees in B. 19. A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. 16. If two legs of a right triangle are 9 and 11, the hypotenuse is If the angle of elevation from the tip of the shadow to the top of the tree is 32, what is the height of the tree to the nearest tenth of a foot? A. 20 B. 2 C. 0 D. 202 A B C D. 0.0 page 3

4 20. The solution set of the equation x 2 x = 0 is A. {0, } B. {, } C. { } D. {} 25. What is an equation of the line whose graph is shown? A. y = x B. y = 2x C. y = x D. y = The hypotenuse of right triangle ABC is 10 and m A = 60. What is the measure, to the nearest tenth, of the leg opposite A? A. 5.0 B. 5.8 C. 7.1 D What are the values of x in the equation x 2 + x 1 = 0? A. ± 5 B. ± The solution set of x 2 6 = 0 is C. 2 ± 5 D. 2 ± 3 A. {8, 8} B. { 8} C. {8} D. {16, } 27. Write the equation for the line shown in the accompanying graph. Explain your answer. 23. What is the solution set of the equation x 2 3x 10 = 0? A. (5, 2) B. ( 5, 2) C. (5, 2) D. ( 5, 2) 2. The solution to the quadratic equation 2x 2 + 5x 1 = 0 is A. 5 ± 17 B. 5 ± 17 C. 5 ± 33 D. 5 ± Express as a monomial in terms of i. page

5 29. In the accompanying diagram, AB and CD intersect at E. If m BED = 25 and m AEC = 3x + 10, find the value of x. 3. Solve for x: 8x 5(x 1) = How many feet from the base of a house must a 39-foot ladder be placed so that the top of the ladder will reach a point on the house 36 feet from the ground? 30. Solve the following system of equations algebraically and check: x y = 16 y = 1 x 36. The expression is equivalent to A B C. 3 9 D Electrical circuits can be connected in series, one after another, or in parallel circuits that branch off a main line. If circuits are hooked up in parallel, the reciprocal of the total resistance in the series is found by adding the reciprocals of each resistance, as shown in the accompanying diagram. 37. Shana wants to buy a new bicycle that has a retail price of $ She knows that it will be on sale next week for 30% off the retail price. If the tax rate is 7%, find the total amount, to the nearest cent, that she will save by waiting until next week. 38. What is the distance, in radical form, between the points (, 6) and (8, 2)? If R 1 = x, R 2 = x + 3, and the total resistance, R T, is 2.25 ohms, find the positive value of R 1 to the nearest tenth of an ohm. 39. In a circle, the coordinates of the endpoints of a diameter are (, 5) and (10, 1). What are the coordinates of the center of the circle? 0. Factor: 25x The measures of the angles of a triangle are represented by x, x + 0, and 2x. Find the value of x. 1. Express x 2 + 5x 6 as the product of two binomials. 33. Express in simplest form in terms of i: If f (x) = x 0 + x 2 3, compute f (8). page 5

6 3. The expression (3x + )(2x 6) is equivalent to A. 6x 2 2 B. 6x 2 10x 2 9. In the right triangle shown in the diagram below, what is the value of x to the nearest whole number? C. 3x 2 12x 2 D. 2x 2 + 8x 2. Solve for x: 3(x 8) = x + A. 12 B. 1 C. 21 D Solve the following system of equations for x: 3x + y = 9 2x y = 6 6. If f (x) = 3x and g(x) = x 2, find the value of f (3) g(2). 7. In right triangle BCD, BD = 12, m C = 90, and m DBC = 7. Find DC to the nearest tenth. 50. Solve the following system of equations graphically and check: 3y = 2x + 12 y x = 8. Solve algebraically for x: 16 2x+3 = 6 x+2 page 6

My Math Plan Assessment #1 Study Guide

My Math Plan Assessment #1 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4. Use factoring to solve the quadratic equation. x + 9x + 1 = 17. Find the difference.