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Exam 1 Review MAC 1105 Spring 2010 Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Plot the given point in a rectangular coordinate system. 1) (-1, 0) 1) A) B) C) D) Graph the equation. R1 2) y = x2 - 3 2) A) B) C) D) R2 Use the graph to determine the x- and y-intercepts. 3) 3) A) x-intercept: -1; y-intercept: 6 C) x-intercept: 1; y-intercept: 6 B) x-intercept: -1; y-intercept: -6 D) x-intercept: -6; y-intercept: 6 Find all values of x such that y = 0. x+7 x-1 4 + 4) y = 6 2 3 A) {16} 4) B) {1} C) {0} D) 5 Determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 5) 5(5x - 41) = 25x - 205 A) Identity B) Conditional equation C) Inconsistent equation Solve and check the linear equation. 6) -6[6x + 5 + 3(x + 1)] = -5x + 6 6 A) B) 9 49 C) - 1 54 D) 49 Solve the problem. 7) The equation V = -3000t + 24,000 describes the value in dollars of a certain model of car after it is t years old. If a car is worth $9000, substitute 9000 into the equation to find the age of the car. A) 6 years B) 7 years C) 4 years D) 5 years Add or subtract as indicated and write the result in standard form. 8) 5i + (-5 - i) A) 5 - 4i B) 5 - 6i C) -5 + 4i D) -5 + 6i Find the product and write the result in standard form. 9) (6 + 3i)(6 - 3i) A) 36 - 9i B) 27 D) 36 - 9i2 C) 45 R3 5) 6) 7) 8) 9) Divide and express the result in standard form. 7i 10) 5+i A) 7 35 + i 26 26 B) 10) 7 35 + i 24 24 C) - 7 35 + i 26 26 D) 7 35 i 26 26 Solve the equation. x x 11) 39 - = 4 9 11) D) 507 2 Perform the indicated operations and write the result in standard form. 12) -7 - -169 A) 7i - 13i B) i( 7 - 13) C) i( 7 + 13) D) 7i - 13 Solve the equation by factoring. 13) 15x2 + 22x + 8 = 0 4 2 , A) 5 3 4 2 D) - , 5 3 A) {3} B) {108} C) 4 2 ,B) 5 3 169 12 4 1 ,C) 15 4 Solve the equation by the square root property. 14) 4(x - 2)2 = 28 A) {2 ± 7} B) {-5, 9} 12) 13) 14) C) {-9, 5} D) {-2 ± 7} Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. 4 15) x2 + x 15) 3 8 4 8 4 2 2 4 2 2 2 A) ; x2 + x + = x + B) ; x2 + x + = x + 9 3 9 3 9 3 9 3 2 4 4 4 2 4 4 4 2 2 C) ; x2 + x + = x + D) ; x2 + x + = x + 9 3 9 3 3 3 3 3 Perform the indicated operations and write the result in standard form. -18 + -18 16) 3 A) -6 + i 2 B) -6 + i 3 C) 6 + i 2 Solve the equation by the method of your choice. 17) (x + 4)(x - 1) = 8 -3 ± 57 3 ± i 57 A) B) 2 2 16) D) -6 - i 2 17) C) -3 ± i 57 2 Find the x-intercept(s) of the graph of the equation. Graph the equation. R4 D) 3± 2 57 18) y = x2 + 3x + 2 18) A) x-intercepts: 1 and 2 B) x-intercepts: -1 and -2 C) x-intercepts: 1 and 2 D) x-intercepts: -1 and -2 R5 Answer Key Testname: EXAM1_REVIEW 1) C 2) B 3) A 4) B 5) A 6) D 7) D 8) C 9) C 10) A 11) B 12) B 13) D 14) A 15) C 16) A 17) A 18) B R6