# fr1033.pdf - MAT1033 Intermediate Algebra Final Exam Review...

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MAT1033 - Intermediate Algebra - Final Exam Review Textbook: Beginning & Intermediate Algebra, 5th Ed., by Martin - Gay Section 2.3 Solve the equation. 1) 9x - (3x - 1) = 2 2) 1 3 x + 2 = 1 6 x + 4 3 3) - 0.07y + 0.12(6000 - y) = 0.06y Section 2.4 Solve. 4) Four times the sum of some number plus 2 is equal to 8 times the number minus 20. Find the number. 5) The length of a rectangular room is 9 feet longer than twice the width. If the room's perimeter is 210 feet, what are the room's dimensions? Section 2.5 Solve the formula for the specified variable. 6) P = 2L + 2W for L 7) V = 1 3 Ah for A Section 2.6 Solve. 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 18 Section 3.1 Complete the ordered pair so that it is a solution of the given linear equation. 13) 6x + y = - 22; ( - 5, ), (0, ), (1, ) Section 3.2 Find three ordered pair solutions by completing the table. Then use the ordered pairs to graph the equation. 14) y = - 3x + 2 x y 0 1 - 1 Section 3.3 Graph the linear equation by finding and plotting its intercepts. 15) - 6x - 12y = 12 Graph the linear equation. 16) x = - 2 17) y = - 2 Section 3.4 Find the slope of the line that passes through the given points. 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 = 16 8x + 6y = 1 Find the slope of the line and write the slope as a rate of change with proper units.