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Prealgebra Course: MAT 0012 - Performance Standards and Sample Questions, Lab Reports of Algebra

State College of Florida, Manatee-Sarasota (SCF)Algebra

The course description and performance standards for a prealgebra course (mat 0012) including topics covered, student learning objectives, and sample questions. The course includes topics such as arithmetic and algebraic operations, fractions, decimals, percent, geometric figures, and equation solving techniques.

Typology: Lab Reports

Pre 2010

Uploaded on 08/16/2009

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Date of Last Revision: February 25, 2008
MAT 0012 -PREALGEBRA
Course Description: (5)(CC). Three hours lecture and a one-hour meeting with your assigned lab
instructor each week along with one hour each week studying, doing homework, receiving tutoring, etc. in
the Academic Resource Center. Student’s test scores and/or past performance indicate a need for training
in the basic skills of arithmetic and algebra. Topics include operations with integers, fractions, decimals,
and percent, geometric figures and their measures, and pre-algebra topics including properties of rational
numbers, operations of rational numbers, simplification of variable expressions and equation solving
techniques.
Performance Standards:
Upon successful completion of this course, the student should be able to:
1. Recognize place value and round to the nearest one, ten, thousand, tenths, hundredths or thousandths.
2. Find the absolute value of a real number.
3. Solve a problem involving addition, subtraction, multiplication or division of whole numbers.
4. Solve a problem involving addition, subtraction, multiplication or division of integers.
5. Evaluate exponential notation.
6. Simplify an expression using the rules for order of operations.
7. Find the prime factorization of a composite number.
8. Solve a problem involving addition, subtraction, multiplication, and division of fractions.
9. Test for equality of fractions.
10. Solve a problem involving addition, subtraction, multiplication, and division of mixed numbers.
11. Solve a problem involving addition, subtraction, multiplication, and division of decimals.
12. Solve a given proportion and set up and solve a proportion word problem.
13. Find unit prices and use them to determine which of two possible purchases has the lower unit price.
14. Solve simple interest problems.
15. Convert between fractional notation, percent notation and decimal notation.
16. Use < or > to make a statement true concerning numbers in integer, fraction or decimal form.
17. Solve a problem involving a % of b is c.
18. Solve a problem involving percent and sales tax.
19. Solve a problem involving percent increase or decrease.
20. Solve a problem involving discount and percent.
21. Find the mean, median and mode of a set of numbers.
22. Find the perimeter of squares, rectangles, triangles and polygons in general.
23. Find the circumference of a circle given the length of a diameter or radius.
24. Find the area of squares, rectangles, triangles, trapezoids, parallelograms and circles.
25. Use the Pythagorean Theorem to determine the third side of a right triangle given the other two sides.
26. Find the volume of rectangular solids, spheres, cylinders and cones.
27. Evaluate an algebraic expression by substitution.
28. Use the distributive law to simplify an expression.
29. Simplify an algebraic expression by collection of like terms.
30. Determine whether a given number is a solution to an equation.
31. Solve equations using the addition principle and the multiplication principle.
32. Translate a phrase to an algebraic expression.
pf2

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Download Prealgebra Course: MAT 0012 - Performance Standards and Sample Questions and more Lab Reports Algebra in PDF only on Docsity!

Date of Last Revision: February 25, 2008

MAT 0012 -PREALGEBRA

Course Description : (5)(CC). Three hours lecture and a one-hour meeting with your assigned lab instructor each week along with one hour each week studying, doing homework, receiving tutoring, etc. in the Academic Resource Center. Student’s test scores and/or past performance indicate a need for training in the basic skills of arithmetic and algebra. Topics include operations with integers, fractions, decimals, and percent, geometric figures and their measures, and pre-algebra topics including properties of rational numbers, operations of rational numbers, simplification of variable expressions and equation solving techniques.

Performance Standards: Upon successful completion of this course, the student should be able to:

  1. Recognize place value and round to the nearest one, ten, thousand, tenths, hundredths or thousandths.
  2. Find the absolute value of a real number.
  3. Solve a problem involving addition, subtraction, multiplication or division of whole numbers.
  4. Solve a problem involving addition, subtraction, multiplication or division of integers.
  5. Evaluate exponential notation.
  6. Simplify an expression using the rules for order of operations.
  7. Find the prime factorization of a composite number.
  8. Solve a problem involving addition, subtraction, multiplication, and division of fractions.
  9. Test for equality of fractions.
  10. Solve a problem involving addition, subtraction, multiplication, and division of mixed numbers.
  11. Solve a problem involving addition, subtraction, multiplication, and division of decimals.
  12. Solve a given proportion and set up and solve a proportion word problem.
  13. Find unit prices and use them to determine which of two possible purchases has the lower unit price.
  14. Solve simple interest problems.
  15. Convert between fractional notation, percent notation and decimal notation.
  16. Use < or > to make a statement true concerning numbers in integer, fraction or decimal form.
  17. Solve a problem involving a % of b is c.
  18. Solve a problem involving percent and sales tax.
  19. Solve a problem involving percent increase or decrease.
  20. Solve a problem involving discount and percent.
  21. Find the mean, median and mode of a set of numbers.
  22. Find the perimeter of squares, rectangles, triangles and polygons in general.
  23. Find the circumference of a circle given the length of a diameter or radius.
  24. Find the area of squares, rectangles, triangles, trapezoids, parallelograms and circles.
  25. Use the Pythagorean Theorem to determine the third side of a right triangle given the other two sides.
  26. Find the volume of rectangular solids, spheres, cylinders and cones.
  27. Evaluate an algebraic expression by substitution.
  28. Use the distributive law to simplify an expression.
  29. Simplify an algebraic expression by collection of like terms.
  30. Determine whether a given number is a solution to an equation.
  31. Solve equations using the addition principle and the multiplication principle.
  32. Translate a phrase to an algebraic expression.

Date of Last Revision: February 25, 2008

MAT 0012 – PREALGEBRA Performance Standards Sample Questions

  1. Write 45,267 in words.
  2. Find the quotient of 5232 ÷ 24

3. Simplify: 28 (^64 )^6

− −^3 +

  1. Round 357,381 to the nearest thousand.
  2. A music department ordered 3 clarinets that cost $650 each and 4 flutes that cost $520 each. Find the total cost.
  3. Evaluate

x

x

for x = 6.

  1. Is 3 a solution to 4 x + 7 = 19?
  2. Use <, > or = to make − | 12 |______|− 12 | a true statement.
  3. Solve: − 10 x + 2 =− 4 x − 22
  4. The product of a number and 3 is twice the sum of that number and 5. Find the number.
  5. Add: (^) ⎟ ⎠
  1. Write 8

as a decimal.

13. Insert < or > in the box to form a true statement:

  1. Find the perimeter and area of the rectangle if the length is 8.4 feet and the width is 3.62 feet.
  2. Find the mean, median and mode for the list of numbers: 3.7, 4.2, 1.6, 5.8, 3.7, 6.
  3. The standard dose of a certain medicine is 150 ml for every 25 pounds of weight. Find the dose for a 125-pound woman.
  4. 35% of 200 is what number?
  5. A flat screen monitor is on sale for 20% off. What is the discount if the original price is $450?
  6. A town’s population increased from 65,892 to 69,421. Find the percent increase.
  7. Find the simple interest earned on $6000 saved for 3 years at 8% interest.