Work the following sets of problems over the summer
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.
Set 1
1. [pic]
2 [pic]
3. [pic]
4. Evaluate: [pic]
when [pic]
5. Simplify: [pic]
6. Solve: [pic]
7. Write [pic] as a percent
8. Solve: [pic]
9. Solve: [pic]
10. Find the GCF and LCM of 15 and 60
11. Find the prime factorization of 56
12. Estimate to the nearest whole number
[pic]
13. Find the area and perimeter of a
square with sides of 3 inches
14. Write an algebraic expression for:
“the sum of 32 and x”
15. What is 25% of 32?
16. Simplify: [pic]
17. Simplify: [pic]
18. Solve: [pic]
19. Place the following Real numbers in
order from least to greatest
[pic]
20. List the first four (non-zero) multiples of 5
Set 2
1. [pic]
2. [pic]
3. [pic]
4. Evaluate: [pic] when [pic]
5. Simplify: [pic]
6. Solve: [pic]
7. Write [pic] as a decimal
8. Solve: [pic]
9. Solve: [pic]
10. Find the GCF and LCM of 8 and 20
11. Simplify: [pic]
12. Estimate (to the nearest dollar) : [pic]
13. Find the area and perimeter of a right triangle having legs of 3 cm and 4 cm and a hypotenuse of 5 cm
14. Write an algebraic expression for “the quotient of 5 and x”
15. [pic] of what is [pic]?
16. Simplify: [pic]
17. Simplify: [pic]
18. Solve: [pic]
19. Place the following Real numbers in order from least to greatest.
[pic]
20. What is the “rule” to see if a number is divisible by nine?
Set 3
1. Multiply: [pic]
2. Divide: [pic]
3. Simplify: [pic]
4. Simplify: [pic]
5. Simplify: [pic]
6. At 60 mph a car travels 88 feet per second. How many feet per second does a car travel at 15 mph?
7. Write [pic] as a fraction
8. Solve: [pic]
9. Solve: [pic]
10. Find the GCF and LCM of 6 and 9
11. Write the prime factorization of 120
12. Estimate 39.46 to the nearest integer
13. Find the area and circumference of a circle with radius 5 cm. (use [pic])
14. Write an algebraic expression for “x subtracted from 8”
15. 6 is what percent of 4?
16. Simplify: [pic]
17. Simplify: [pic]
18. Solve: [pic]
19. Place the following Real numbers in order from least to greatest: [pic]
20. How many factors does 24 have?
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