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Garnet Valley High School Practice Set of Required Math Skills For Algebra M1 Students should practice each of the following skills to prepare for your next math class. Students should bring the Math Packet on the first day of class. Students will take a graded assessment about the skills on the summer math packet. Skill 1: All students should be able to complete 30 single digit multiplication and division problems within one minute. Use flash cards to practice. Skill 2: All students should be able to complete 30 single digit addition and subtraction problems within one minute. Use flash cards to practice. Skill 3: All students should be able to add, subtract, multiply and divide double and triple digit problems. Do not use a calculator. 23 1) x 34 923 x 324 2) 23 5) 24 123 3) 73 34 6) x 32 923 4) 923 7) 324 324 23 8) 24 29 9) 22 1232 10) 25 300 11) 6 1440 12) 28 Skill 4: All students should be able to add, subtract, multiply and divide signed numbers. Do not use a calculator 1) 8+(-18) 5) –7+(-7) 2) 3-(-5) 6) –7 - (-22) 9) –10(-46) 10) 81 9 7) 90 (10) 4) 48 8 8) –5 - 12 11) 54 3 12) –22 - 38 3) –6(-5) Skill 5: All students should be able to add, subtract, multiply and divide integers and decimal numbers. Do not use a calculator. 1) 93.3 - 24.6 2) 5) 9) 0.0483 (2.1) 6) 10) 68.14 - (-32.48) 34-(-11) 873 13) 30 (6) –6(-5) 7 ( 7 ) 3) 7) 75.2 x (-100) 11) –33.5 x (-0.1) 4) –9(0) 8) 12) 131.58 (8.6) 4.1 – 11.2 923 318 14) 23 324 15) 6 1440 16) x 34 Skill 6: All students should be able to simplify problems with fractions. Do not use a calculator. 1) 5) 9) 13) 105 126 5 3 6 4 5 7 6 10 2) 6) 10) 5 7 8 8 14) 3 5 8 5 3 18 6 5 2 6 5 3 1 2 2 4 2 11) 1 1 6 10 12) 4 4 4 7 5 25 2 3 5 4 5 10 2 15) 7 7 6 10 1 2 6 4 8 3 3) 7) 3 1 4 5 3 4 4 7 4) 8) 16) Skill 7: All students should be able to determine the prime factors and factors of numbers. Prime Factors Factors Prime Factors 10 12 20 36 Factors 48 100 105 126 Skill 8: All students should be able to compare and order numbers. 1) 2 2 2 , , 3 5 4 2) 2, 7, 10, 3 3) 3 7 5 , , 4 8 9 4) 3, 4 , 2, 5 5) 0.5, 0.9, 7 8 6) 6 , 0.7, 0.75 7 Skill 9: All students should be able to simplify arithmetic expressions using the order of operations. 5) 23 (2) 4 9) 6 5 98 7 2 10) 1) 2) 6) 27 (6 3) 34 3) 963 7) (5 4) 7 48 (32 26) 58 11) 4) (2)3 8) 20 8 95 7 633 Skill 10: All students should be able to evaluate algebraic expressions. Evaluate each expression if a = 2, b = -3, c = -2, and d=12. 1) 5) abc (a d ) (b c) 2) b2 3) 6) d a 7) cd ab 4) c 2b a 8) 3a 2 d cd ab bc d a Skill 11: All students should be able to simplify expressions by adding like terms and using the distributive property. 1) 6y + 3z – 3y 2) -5(y – 4) 5) 2.1(-1.2x + 2.3y – 1.1) 6) 2 (6 x 9 y ) 3 3) 3(x – 2y) 7) 6(3x – 4y + 8z) 4) 17a + 18b – 20b + a 8) 5 1 ( x y 12) 6 2 Skill 12: All students should be able to solve one-step equations with positive and negative numbers. 1) 5) 9) 75 = 19a y – 28 = -28 a - 5.05 = -3.3 2) 6) 10) –317 = y - 97 –8c = -272 b 3 2 20 5 3) 7) A – 76 = 695 M + 1.5 = 36.6 4) 8) 288 = 16w –32 = -m 11) x 9 23 12) y 26 8 Skill 13: All students should be able to solve multi-step equations involving combining like terms, proportions, and the distributive property 1) 5) 9) 7y – 13 = 50 0.3p - 0.6 = -0.9 x 13 10 8 2) 6) 42 = 8(m - 2) -3(x + 3) = -9 10) 1 1 3 m m 12 2 4 4 3) 7) 11) 3(x + 4) = 66 49 = 7(y - 7) m 4 4 6 4) 8) 12) 4 - 8m = 20 12 = 19x - 13x –6y – 18 = -84 Skill 14: All students should be able to write and simplify ratio problems. Simplify the ratio. 1) 16 : 36 2) 1 week to 35 days 4) 7 1 : 8 4 5) 1 :2 2 3) 6) 18 out of 26 60 to 200 Skill 15: All students should be able to translate and solve math word problems. 1) 13 increased by 5 is what number? 2) x decreased by 11 is –12. Determine the number. 3) 2 more than 5 times a number is 16. Determine the number. 4) 16 less than twice a number is –48. Determine the number. 5) 0 is 18 more than half a number. Determine the number. 6) A basketball team won 33 1 % of its 45 games, how many games did the team win? 3 7) Louis had 105 correct answers on a 120 question true/false test, what percent of the answers were correct? 8) Jonathan is permitted to watch 3 hours of TV on Saturday, if he watched TV for 1 1 hours in the 4 morning and ½ hour in the afternoon, how many hours can he watch TV on Saturday evening? 9) Heather spent 2/3 of her $7.50 allowance at a movie. How much money does she have left? 10) Which is a better buy, one 40 oz can of soup for $1.89 or two 16 oz cans for $1.29? 11) A chicken farmer lost 1/3 as many chickens to coyote attacks as he did to diseases. If he lost a total of 80 chickens, how many chickens were killed by coyotes? 12) Gina has 3 times as many dimes as quarters, the dollar amount of her dimes and quarters is $6.05. How many quarters does she have? Selected Answers: Skill 3 Skill 4 1) 782 1) -10 Skill 5 Skill 6 Skill 7 1) 68.7 1) 5/6 12-Prime 223 Skill 8 Skill 9 Skill 10 Skill 11 3) 5/9,3/4,7/8 1) 8 1) 12 1) 3y + 3z Skill 12 Skill 13 Skill 14 Skill 15 1) 75/19=a 1) y = 9 1) 4/9 1) 18 5) -1 5) –14 9) 56 9) 460 5) -.023 5) 1/12 12-Factors 1,12,2,6,3,4 9) 100.62 9) 23/15 5) 16 5) 19 5) -2.52x+4.83y –2.31 5) y = 0 5) p = - 1 4) 7/2 5) -36 9) 28 9) a = 1.67 9) x = 24 9) $2.50 13) 555 13) 5/7