Elementary Algebra ~ Review for Exam 2

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1 Elementar Algebra ~ Review for Eam 2 Solve using the five-step problem-solving process. 1) The second angle of a triangle is 3 times as large as the first. The third angle is 3e more than the first. Find the measure of all three angles of the triangle. 2) A rectangular window has a perimeter of 22 inches. The length of the window is 30 inches more than the width. What are the dimensions of the window? 3) A triangular lake-front lot has a perimeter of 1,0 feet. One side is 200 feet longer than the shortest side, while the third side is 300 feet longer than the shortest side. Find the lengths of all three sides. 9) > 4 ) Solve using the addition and multiplication principles. 11) (6-8) < ) 3(2-3) > 21 13) In a surve of 60 students, the students showed these preferences for instructional materials. Answer the questions. 4) In New York Cit, tais charge $2.0 plus $2.00 per mile. How far can Ralph travel for $17.0? Determine whether the given number is a solution of the inequalit. ) a) < 11-1, 11, 1 b) -1 6, , -7.3 Graph the inequalit. 6) a) > b) 0 < 4 Describe the graph using set-builder notation. a) What percent of students prefer lecture? b) How man students prefer computers? c) How man more student prefer film than TV? Graph the equation. 14) = ) = -12 7) a) ) = 1 4 b) Solve using the addition and multiplication principles. Graph and write set-builder notation for the answer. 8) a) -7n + > -8n ) 9 = ) 4 + = 0 b) + 13a a

2 Review for Eam 2 Page 2 Find the coordinates of the -intercept and the coordinates of all -intercepts. 19) Find the - and -intercepts, then graph the equation. 20) -2 + = 21) = Write the equation of the line represented b the graph and state the slope. 22) a) 23) At :00 AM, Gavin rented a mountain bike. He biked for 32. miles and returned the bike at 3:00 PM. He paid $26.00 for the rental. Find the following rates: a) Gavin's average speed, in miles per hour; b) the rental rate, in dollars per hour; c) the rental rate, in dollars per mile. Use the graph to solve the problem. 24) The graph depicts a relationship between scores achieved on an unspecified standardized test and famil income. Find the rate of change of test scores with respect to famil income Income (in $00's) b) Find the slope of the line. If the slope is undefined, state so. 2)

3 Review for Eam 2 Page 3 Find the slope of the line containing the given pair of points. If the slope is undefined, state so. 26) a) (-6, ) and (, -9) b) (4, -4) and (7, 3) Provide the proper response. 38) Identif whether the slope is positive, negative, zero or undefined. a) 27) An old house has a basement stairwa that has steps with 7.2 inch risers and inch treads. What is the slope of the stairwa? 28) Over one particular stretch of road, the Whitepoint Highwa rises 47 ft over a horizontal distance of 3800 ft. Find the grade of the road. b) Draw a line that has the given slope and -intercept. 29) Slope - 1 ; -intercept (0, 6) 2 Find the slope and the -intercept of the line. 30) = ) = 8 c) 32) + 7 = 29 Find the slope-intercept equation for the line with the indicated slope and -intercept. 33) Slope - 4 ; -intercept (0, ) 7 Graph the linear equation. 34) = -4 d) 3) = ) A moving firm charges a flat fee of $30 plus $ 2 per hour. Let be the cost in dollars of using the moving firm for hours. Find the slope-intercept form of the equation. Determine whether the pair of equations represents parallel lines. 37) = = 29 Provide an appropriate response. 39) Eplain how ou would find the intercept of a line with an equation of the form A + B = C.

4 Review for Eam 2 Page 4 40) What can ou sa about the graph of A + B = C if B is equal to zero? 41) What can ou sa about a line if ever point on the line has the same coordinate? 42) Is it possible for the -intercept and the -intercept of a straight line to be at the same point? Eplain our answer. 43) What is the -intercept of the line = b? 44) Does ever straight line have an -intercept? If not, give an eample of an equation whose graph does not have an -intercept. Simplif. 4) a) 2 b) () 2 46) a) (-2m) 4 b) (n) 3 47) 4(-3) + 12(-8) Use the distributive law to factor the given epression. 48) w + 18 Solve the equation. 49) = ) = 4 1) = ) 9 - (4-1) = 2 3) Charlie purchased a digital camera. The cost of the camera, including 7. percent sales ta was $ What was the cost of the camera before ta? 4) In a local election, 24,138 people voted. This was an increase of 8% over the last election. How man people voted in the last election?

5 Answer Ke Testname: EAEXAM2REVIEWSP08 1) 29e, 87e, 64e 2) 48 in., 78 in. 3) 200 ft, 400 ft, 00 ft 4) 7. miles ) a) Yes, No, No b) No, Yes, Yes 1) 6) a) b) ) a) {v 4} b) {v > -3} 8) a) {n n > 11} b) {a a 6} ) { > 20} ) { 13} ) 17) 11) { < -4} 12) { > } 13) a) 18% b) 234 students c) 2 students 14)

6 Answer Ke Testname: EAEXAM2REVIEWSP08 18) 29) 19) (0, 2), (, 0) 20) (, 0), (0, 2) 21) (0, 8), (2, 0) 30) 1 ; (0, -4) 4 31) 3 ; (0, 1) 4 32) - 29 ; (0, 7 7 ) 33) = ) 22) a) = -4, Slope is undefined b) = 6, Slope is 0 23) a) 6. miles per hour b) $.20 per hour c) $0.80 per mile 24) 4 points per thousand dollars 3 2) ) a) b) ) ) 12.% 3) 36) = ) Yes

7 Answer Ke Testname: EAEXAM2REVIEWSP08 38) a) Positive b) Undefined c) Negative d) Zero 39) Let = 0 and solve for. 40) The graph is a vertical line. 41) The line is vertical. 42) Yes. If the line passes through the origin, then both the -intercept and the -intercept are at (0, 0). 43) (0, b) 44) The -intercept is the point where the line crosses the -ais. Lines parallel to the -ais do not intercept the -ais. Thus the graph of an equation of the form = b where b 0 has no -intercept. 4) a) -2 b) 2 46) a) 16m 4 b) -12n 3 47) 84 48) 3(8 + w + 6) 49) ) 60 1) 16 2) 1 3) $312 4) 22,30 people

Elementary Algebra FALL 2005 Review for Exam 2

Elementary Algebra FALL 2005 Review for Exam 2 Elementar Algebra FALL 200 Review for Eam 2 1) In a surve of 60 students, the students showed these preferences for instructional materials. Answer the questions. Graph the equation. 6) = 4 + 3 7) 3 +