Work the Following Sets of Problems Over the Summer

Summer Math Practice – Algebra 1

This summer math worksheet is for all students entering a high school level Algebra 1 class. Work the following problems over the summer. Be sure to show ALL your work neatly on a separate sheet of paper. Your teacher will ask for this in August for a grade. NO Calculators should be used on this worksheet. 1 3  2 4 Set 1 Set 2 1. Multiply: 7 5 2. Divide: 2 7  0 . 3 1 2 2 1. 3 2  5 3 1. 8  4 7 5 ( 6  2 ) 3. Simplify: 2 4.6 3.98 2. ( 4 . 2 3 ) ( 1 . 6 ) 2 ( 4  3 ) 3. 3 4 6 4 2 3. 6 18 (3) 2 3  7  9 3 4. Simplify: 4. Evaluate: 5 k  1 4. Evaluate: 4 v when 5 6 v  5 5. Simplify: when k 11 5 8 4 3 6 5. Simplify: 5. Simplify: 3 0 6. At 60 mph a car travels 4 0 1 5 3 88 feet per second. n 3 6. Solve:  How many feet per 6. Solve:  1 0 k 6 8 5 second does a car 7. Write as a decimal 7 8 travel at 15 mph? 7. Write as a percent 8. Solve: u18.4 39 7. Write 6 0 % as a 1 0 d 8. Solve: 85 a 150 9. Solve:  2 0  1 6 fraction 9. Solve: 6x 8 50 1 0 m 8. Solve:  3 0 10. Find the GCF and 10. Find the GCF and 5 LCM of 8 and 20 5 x  1 . 5  0 LCM of 15 and 60 3 2 9. Solve: 11. Find the prime 11. Simplify: 2  3 5 10. Find the GCF and factorization of 56 12. Estimate (to the nearest LCM of 6 and 9 12. Estimate to the nearest dollar) : $7.91 $2.05 11. Write the prime whole number 13. Find the area and factorization of 120 31  9 9 perimeter of a right 12. Estimate 39.46 to the 5 10 triangle having legs of 13. Find the area and nearest integer 3 cm and 4 cm and a perimeter of a 13. Find the area and hypotenuse of 5 cm square with sides of 3 circumference of a 14. Write an algebraic inches circle with radius 5 cm. expression for “the 14. Write an algebraic (use   3 . 1 4 ) quotient of 5 and x” expression for: 14. Write an algebraic 15. 2 0 % of what is 1 4 ? “the sum of 32 and x” expression for “x 16. Simplify: 4 9  2 5 subtracted from 8”   15. What is 25% of 32? 2   17. Simplify: 2 5  2 ( 3 )  16. Simplify: 9  4 15. 6 is what percent of 4? 2 x  6 3 6   17. Simplify: 3 4(2 1) 18. Solve:  1 2 16. Simplify:  n 3 4  18. Solve: 3   9 19. Place the following 2  6 17. Simplify: 3  9  3  Real numbers in order 19. Place the following 18. Solve: 3n 7 19  from least to greatest. 19. Place the following  Real numbers in 3 4 3 order from least to {  , , 1 , , 0 } Real numbers in order  greatest 4 3 4 from least to greatest:  20. What is the “rule” to 4 1 6 {1,1,0.7,0,5,2} { 1 . 2 , 3 . 5 , , ,  }  3 2 see if a number is 5 2 3  20. How many factors does  20. List the first four (non- divisible by nine?  zero) multiples of 5 24 have?  

 Set 3

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