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BASIC ALGEBRA MIDTERM EXAM REVIEW UNIT 3 SOLVING EQUATIONS (SALMON NOTES) Required Skills: 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) Solve equations by using addition. Solve equations by using subtraction. Solve word problems using addition and subtraction. Solve equations by using multiplication. Solve equations by using division. Solve word problems using multiplication and division. Solve equations involving more than one operation. Solve word problems using more than one operation. Solve equations with the variable on each side. Solve equations involving grouping symbols. Solve equations involving fractions. Identify equations that have no solution or all real numbers as the solution set. 13) Determine whether two ratios form a proportion. 14) Solve proportions. 15) To solve equations involving absolute value. Solve each of the following equations. 1) 5=x+3 2) c-7=9 3) 7=6+x 4) b - 11 = -8 5) 21 = 7k 6) -2m = -16 MCD/MPH/CVL 1/10 1 a 2 7) 14 9) 2x + 6 = 8 8) a 9 4 10) 3k - 7 = -22 11) -6y + 15 = -27 12) 2x - 4 - 3x - 7 = 8 13) 7x + 8 = 4x + 17 14) 9y - 7 = 5y + 21 15) 4y - 13 = -12 + 5y 16) 6x - 3 = 7x + 7 + 4x 17) 9y - 7 - 8y = 9 – y 18) 2 (5 + x) = 22 MCD/MPH/CVL 1/10 2 19) -5 (x + 4) = 15 20) 4 (5x – 8) = 7 (3x + 6) 21) 5a + 3 (2a + 1) = 25 22) 8y – 3 (4 - 2y) = 3 (y + 3) + 1 23) 8 1 6 11 x x 5 3 5 3 24) 9 25) 4 6 17 n 26) MCD/MPH/CVL 1/10 3 4 5 x x 2 5 3 2 b5 3 8 3 27) 3 9 4 x4 28) 5 3 8x x4 29) | 2x | = 20 30) | x + 4 | = 15 31) | 6x - 3 | = 19 32) | 1 – 5x | = 11 33) 3 | x – 2 | - 8 = 16 34) 4 | 2x + 7 | + 9 = -7 MCD/MPH/CVL 1/10 4