Chapter 4: Cumulative Review for Chapters 1–4 *Additional answers can be found in the Answers to Exercises appendix. Perform the operations and simplify. 1) 7 15 9 10 41 30 2) 4 1 5 9 20 9 1 3 3) 3(5 7)3 18 6 8 29 4) Find the area of the triangle. 30 in2 in in 2 in 5) Simplify 3(4x2 5x 1). 12x2 15x 3 6) Find the measure of each indicated angle. 80, 100 (3x 1 5)8 (4x)8 Solve each equation. 7) y 9 34 {25} 8) 8 w 6 {48} e 13 6 f 9) 16 6m 3 10) 0.04(3p 2) 0.02p 0.1(p 3) 11) 11 3(2k 1) 2(6 k) 1 e f 2 12) Solve. Write the answer in interval notation. 5 4v 9 15 (1, 6) 13) Write an equation and solve. During the fi rst week of the “Cash for Clunkers” program, the average increase in gas mileage for the new car purchased versus the car traded in was 61%. If the average gas mileage of the new cars was 25.4 miles per gallon, what was the average gas mileage of the cars traded in? Round the answer to the nearest tenth. (www.yahoo.com) 15.8 mpg 14) The area, A of a trapezoid is A 1 2 h(b1 b2), where h height of the trapezoid, b1 length of one base of the trapezoid, and b2 length of the second base of the trapezoid. 2A b1 b2 a) Solve the equation for h. h b) Find the height of the trapezoid that has an area of 39 cm2 and bases of length 8 cm and 5 cm. 6 cm 15) Graph 2x 3y 9. 16) Find the x- and y-intercepts of the graph of x 8y 16. x-int: (16, 0); y-int: (0, 2) 17) Write the slope-intercept form of the equation of the line containing (3, 2) and (9, 1). y 1 4 x 5 4 18) Determine whether the lines are parallel, perpendicular, or neither. 10x 18y 9 9x 5y 17 perpendicular Solve each system of equations. 19) 9x 3y 6 3x 2y 8 (4, 10) 20) 3(2x 1) (y 10) 2(2x 3) 2y 3x 13 4x 5(y 3) (3, 1) 21) x 2y 4 3x 6y 6 22) 1 4 x 3 4 y 1 6 infi nite number of solutions of the form {(x, y) 03x 9y 2} 1 2 x 3 2 y 1 3 23) y 4x 1 (2, 7) 2x y 3 Write a system of equations, and solve. 24) Dhaval used twice as many 6-foot boards as 4-foot boards when he made a treehouse for his children. If he used a total of 48 boards, how many of each size did he use? 4-foot boards: 16; 6-foot boards: 32 25) Graph the solution set of the system: y 2x 1 y 4 306 CHAPTER 4 Linear Equations and Inequalities in Two Variables www.mhhe.com/messersmith
messersmith_power_introductory_algebra_1e_ch4_7_10
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