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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve each system of equations using Gauss-Jordan method. If the system has no solution, say that it is inconsistent. 1) Graph the line containing the point P and having slope m. 2) P = ( -6, 8); m = - Find the slope and y-intercept of the line. 3) y = 11 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the system of equations. 4) A) inconsistent (no solution) B) x = 2, y = -5, z = 1 C) x = 2, y = 1, z = -5 D) x = -5, y = 1, z = 2 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Write the augmented matrix for the system. 5) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write a system of equations associated with the augmented matrix. Do not solve. 6) B) C) A) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Perform in order (a), (b), and (c) on the augmented matrix. = 4 + (b) = -2 + 7) (a) (c) = 6 + Graph the inequality. 8) x > -7 9) y ≤ 4 10) -2x - 4y ≤ 8 11) x - y > -4 12) + > 36 Perform the indicated matrix operations. and B = . Find 4A - 4B. 13) Let A = MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the system using the inverse method. 14) A) x = 2, y = 5, z = 2 B) x = 5, y = 2, z = -2 C) x = 5, y = -2, z = 2 D) x = -5, y = -2, z = -2 Find the inverse of the matrix. 15) A = A) B) C) D) 16) A) B) No inverse C) D) Solve the system of equations. 17) A) x = 4, y = -2, z = -1 B) inconsistent (no solution) C) x = -1, y = -2, z = 4 D) x = -1, y = 4, z = -2 18) A) x = 1, y = 2, z = 4 B) x = 4, y = 2, z = 1 C) x = 1, y = 4, z = 2 D) x = 4, y = 1, z = 2 Find an equation for the line with the given properties. Express the answer using the slope-intercept form of the equation of a line. 19) Perpendicular to the line y = x + 3; containing the point ( 2, - 3) A) y = - 2x - 1 B) y = - 2x + 1 C) y = - x - D) y = 2x - 1 Find an equation for the line with the given properties. Express the answer using the general form of the equation of a line. 20) Containing the points ( -7, 0) and ( 0, 3) A) -7x - 3y = -9 B) 3x - 7y = -21 C) -3x - 7y = -21 D) 7x + 3y = -9 Find an equation for the line with the given properties. Express the answer using the slope-intercept form of the equation of a line. 21) Parallel to the line y = -4x; containing the point ( 6, 4) A) y = -4x + 28 B) y = -4x - 28 C) y = -4x D) y - 4 = -4x - 6 Find the slope and y-intercept of the line. 22) x = 3 A) slope undefined; y-intercept = 3 B) slope = 0; y-intercept = 3 C) slope undefined; no y-intercept D) slope = 3; y-intercept = 0 23) 5x - 9y = 45 A) slope = - ; y-intercept = 5 B) slope = C) slope = 5; y-intercept = 45 D) slope = ; y-intercept = -5 ; y-intercept = 9 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem using using Gauss-Jordan method. Show your work! 24) Lexie wants to have an income of $9000 per year from investments. To that end she is going to invest $90,000 in three different accounts. These accounts pay 7%, 10%, and 14% simple interest. If she wants to have $10,000 more in the account paying 7% simple interest than she has in the account paying 14% simple interest, how much should go into each account? 1) x = 6, y = 4, z = 6 2) 3) slope = 0; y-intercept = 11 4) D 5) 6) C 7) 8) 9) 10) 11) 12) 13) 14) C 15) C 16) B 17) B 18) A 19) B 20) B 21) A 22) C 23) B 24) $40,000 at 7%, $20,000 at 10%, $30,000 at 14%
