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Algebra I Summer Review Packet This packet is a review of the entering objectives for Algebra 1 and is due on the first day back to school. It is great summer. I. to be done NEATLY and on a SEPARATE sheet of paper. Factors: Write the factor pairs for each number. a) Example: Give the factor pairs of 12: Answer: 1 x 12 2x6 3x4 II. Have a 48 b) 72 c) 126 d) 39 e) 53 f) 121 Find the Greatest Common Factor a) 12 and 20 b) 54 and 81 c) d) 27 and 72 e) f) 169 and 39 18 and 63 15 and 70 III. Order of Operations and Integer Operations Evaluate each expression. IV. a) 3 – 4 b) -14 – 8 c) - 7 + 3 d) -4 + 9 e) -1 – -7 f) -2 + -9 g) -4 -2 h) -54 9 i) 15 -2 j) -32 - 4 k) 27 3 + 42 l) 2[5 + 3(14 – 6)] m) 24 8 + 5 6 n) o) 30 – 4 5 + 7 p) 18 [(8)(2) – 7] Fractions. Perform the indicated operation. Make sure final answer is simplified. 2 1 5 5 a) e) V. a) (5 2) 2 9 6 5 4 8 10 b) f) 3 2 4 3 3 8 4 c) 1 5 2 7 d) 12 3 7 14 g) 1 1 3 2 h) 2 5 9 3 Combining Like Terms and Distributive Property. Simplify: 2 + 3y – 5y b) 9x + 6 – 5x c) 15n + 2n – 8n d) 4x2 – 5x2 + 7x e) 3p – 7p2 + 4p – 2p2 f) -9 – 8x – 4 – 7x g) 3(y + 6) h) -4(2x + 7y) i) (4r – 5)(-2) j) 3x + 7(x – 4) k) 2 – 7(3 – 5x) l) -3(x + 1) – 2 m) -2(x + 5) + 3(4x – 9) n) 9(3x + 4) – 5(3 – 2x) o) 7(w + 3y) – 6(2w + 3y) Algebra I VI. Summer Review Packet Solving one-step equations. Solve: a) z –7 = -3 b) p + - 7 = 9 e) -5y = 23 f) c) 8 + q = -4 w 8 3 g) d) 3a = -27 x 9 -6 h) 1 x 12 5 VII. Solving two-step equations. Solve: a) - 3x + 4 = 4 e) 1 x 5 10 3 b) 5x - 7 = - 22 c.) -x-4=3 f) 4x + 10 = 14 d) - 2x + 6 = 0 g) 6 – r = 9 VIII. Translating Verbal Phrases Hint: More, sum, plus = addition Difference, less, minus = subtraction Quotient, divided by = division Product, time, multiplied = multiplication is = Equal to a) c) e) g) i) j) The difference of 7 and 10 times a number b) 11 plus the quotient of a number and 7 Two less than the sum of six and a number d) Half of a given number The sum of 6 and a number f) 3 less than 4 times a given number The sum of 6 and a number is 18. h) Sixteen more than a number is 36. 12 more than a number One number decreased by the sum of 10 and the square of another number IX. Inequalities. Graph the inequality on a number line. < less than, open circle less than or equal to, closed circle > greater than, open circle greater than or equal to, closed circle a) x 3 b) y -8 d) k < -0.5 e) X. c) 5 > w 1 q 3 f) - Rounding Round each number to the nearest hundredth. a) 15.7895 e) 4.99762 b) -2.5654 f) 1 1 6 c) 2 3 d) g) 4 2 7 -3.89254 13 w 4