SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

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1 Spring 0 Math 08 Eam Preparation Ch Dressler Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the quadratic equation b the square root propert. If possible, simplif radicals. 1) = 1 1) ) = ) Solve the quadratic equation b the square root propert. If possible, simplif radicals or rationalize denominators. 3) 6 = 4 3) 4) = 1 4) ) 7 = ) Solve the quadratic equation b the square root propert. If possible, simplif radicals. 6) = 6 6) Solve the quadratic equation b the square root propert. If possible, simplif radicals or rationalize denominators. 7) ( - ) = 49 7) Solve the quadratic equation b first factoring the perfect square trinomial on the left side. Then appl the square root propert. Simplif radicals, if possible. 8) = 64 8) 9) = 4 9) ) - + = 3 ) Solve the quadratic equation b the square root propert. If possible, simplif radicals or rationalize denominators. 11) ( + 6) = 11 11) 1) ( + ) = 49 1) Solve the problem. 13) The product of and the square of a number is 3. Find the number(s). 13) 1

2 Use the Pthagorean Theorem to find the missing length in the right triangle. Epress the answer in radical form and simplif, if possible. 14) 14) 1 cm c 0 cm 1) m 1) b 8 m 16) 16) c 0 m 6 m Use the Pthagorean Theorem to solve the problem. Epress the answer in radical form and simplif, if possible. 17) A square sheet of paper measures 3 centimeters on each side. What is the length of the 17) diagonal of this paper? 18) A ladder that is feet long is 6 feet from the base of a wall. How far up the wall does the ladder reach? 18) 19) In a 31-inch square television set, the length of the screen's diagonal is 31 inches, Find the measure of the side of the screen. 19) Find the distance between the pair of points. Epress our answer in simplest radical form. 0) (, 3) and (13, 9) 0) 1) (3, -3) and (-, -) 1) ) (-, ) and (-, 3) ) 3) (, 1) and (8, 3) 3) Complete the square for the binomial. Then factor the resulting perfect square trinomial. 4) + 4)

3 ) - 16 ) 6) ) 7) - 7) 8) + 8) Solve the quadratic equation b completing the square. 9) = 0 9) 30) + 14 = ) 31) + 14 = ) 3) + - = 0 3) 33) = 0 33) Solve the equation using the quadratic formula. Simplif irrational solutions, if possible. 34) = 0 34) 3) - 1 = 3) 36) - - = 0 36) 37) = 0 37) 38) = 0 38) Solve the quadratic equation using the square root propert. Epress imaginar solutions in a + bi form. 39) ( - ) = -1 39) 40) ( + ) = ) 41) ( - 1) = - 41) 4) ( + 3) = -4 4) 3

4 Solve the quadratic equation using the quadratic formula. 43) = 0 43) 44) = 0 44) 4) = 0 4) 46) + 8 = ) 47) = 0 47) 48) = 7 48) Determine if the parabola whose equation is given opens upward or downward. 49) = ) 0) = ) 1) = ) ) = ) Find the -intercepts and the -intercept for the parabola whose equation is given. If an intercept is an irrational number, round it to the nearest tenth. 3) = - 4 3) 4) = + 0 4) ) = ) 6) = ) Find the verte for the parabola whose equation is given. 7) = + 9 7) 8) = ) 9) = ) 60) = ) 4

5 61) = ) 6) = ) Graph the parabola whose equation is given. 63) = ) ) = ) ) = - 4-6)

6 66) = ) Use the coordinates of the verte to solve the problem. Round our answer to the nearest tenth, if necessar. 67) The cost, in millions of dollars, for a compan to manufacture thousand automobiles is 67) given b the function C() = Find the number of automobiles that must be produced to minimize cost. 68) The cost, in millions of dollars, for a compan to manufacture thousand automobiles is given b the function C() = Find the number of automobiles that must be produced to minimize cost. 69) The profit that the vendor makes per da b selling pretzels is given b the function P() = Find the number of pretzels that must be sold to maimize profit. 70) A projectile is fired from a cliff 00 feet above the water. The height h of the projectile above the water is given b h = , where is the horizontal distance of the (170) projectile from the base of the cliff. Find the maimum height of the projectile. 68) 69) 70) 6

7 Answer Ke Testname: EXAM CH PREP V01 1) {± 1} ) {± } 3) {±} 4) {± 3} ) ± 7 7 6) {± 13} 7) {-, 9} 8) {-6, } 9) {-8, -4} ) { ± 3} 11) {-6 ± 11} 1) {-6, 1} 13) -4 and 4 14) cm 1) 3 m 16) 9 m 17) 3 cm 18) 8 ft 19) 31 0) units in. 1) 6 units ) 7 units 3) 7 units 4) + + = ( + ) ) = (- 8) 6) = ) = - 1 8) = + 1 9) {1, 11} 30) {-8, -6} 31) {-7 ± 11} 3) - ± 3 33) {-4 ± 3} 34) {7, 1} 3) {6 ± 41} 36) ± 33 37) {-6 ± 3} 7 38),-1 7

8 Answer Ke Testname: EXAM CH PREP V01 39) { ± i} 40) {- ± i 14} 41) {1 ± i} 4) {-3 ± 3i 6} 43) {-6 ± i} 44) {4 ± i} 4) -1 ± i 1 46) {-4 ± 7i 7} 47) 48) - ± i ± i ) Upward 0) Downward 1) Upward ) Downward 3) -intercepts: and -; -intercept: -4 4) -intercepts: 0 and -0; -intercept: 0 ) -intercepts: 4 and ; -intercept: -0 6) -intercepts: - and -; -intercept: 0 7) (0, 9) 8) (4,-) 9) (3, 14) 60) (-1, 1) 61) - 11, ) - 9, )

9 Answer Ke Testname: EXAM CH PREP V01 64) ) ) ) 3 thousand automobiles 68) 4 thousand automobiles 69) 30 pretzels 70) 7.8 ft 9

Additional Exercises 10.1 Form I Solving Quadratic Equations by the Square Root Property

Additional Exercises 10.1 Form I Solving Quadratic Equations by the Square Root Property Solve the quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators.