MAT1033 -Intermediate Algebra -Final Exam ReviewTextbook: Beginning & Intermediate Algebra, 5th Ed., by Martin-GaySection 2.3Solve the equation.1) 9x -(3x -1) =22)13x +2 =16x +433)-0.07y +0.12(6000 -y) =0.06ySection 2.4Solve.4) Four times the sum of some number plus 2 isequal to 8 times the number minus 20. Findthe number.5) The length of a rectangular room is 9 feetlonger than twice the width. If the room'sperimeter is 210 feet, what are the room'sdimensions?Section 2.5Solve the formula for the specified variable.6) P =2L +2Wfor L7) V =13Ahfor ASection 2.6Solve. If needed, round to two decimal places.8) Robin got a 4% raise in her salary from last
year. This year she is earning $37,440. Howmuch did she make last year?9) How much pure acid should be mixed with 6gallons of a 50% acid solution in order to getan 80% acid solution?10) If $2000 is invested at 10% simple annualinterest, how much should be invested at 12%annual simple interest so that the total yearlyincome from both investments is $5000?11)-21x -9 ≤-3(6x -5)12) 3 ≤3x -3 ≤18Section 3.1Complete the ordered pair so that it is a solution of thegiven linear equation.13) 6x +y =-22;(-5, ), (0, ), (1, )Section 3.2Find three ordered pair solutions by completing the table.Then use the ordered pairs to graph the equation.14) y =-3x +2xy01-1Section 3.3Graph the linear equation by finding and plotting itsintercepts.15)-6x -12y =12Graph the linear equation.16) x =-217) y =-2Section 3.4Find the slope of the line that passes through the givenpoints.18) (9, 0) and (0, -1)19) (-8, 10) and (-8, 4)1
Determine whether the pair of lines is parallel,perpendicular, or neither.20) 3x -4y =168x +6y =1Find the slope of the line and write the slope as a rate ofchange with proper units.