1. This presentation will review different math skills that will help you with every day math problems. Each lesson takes approximately 15 minutes to do. Almost anyone can find an extra 15 minutes out of his or her day, whether it be during breakfast or right before bed. In just under 3 weeks, you can review all the TABE Computation Math sections. Look for the Professor. He has special hints to help make working the math problems faster and easier. Look for the Professor. He has special hints to help make working the math problems faster and easier. 15 Minute Math

2. Decimals Decimals o Lesson 1 – What Are Decimals? o Lesson 2 – Addition & Subtraction o Lesson 3 – Multiplication o Lesson 4 - Division Fractions Fractions o Lesson 5 – What Are Fractions? o Lesson 6 - Addition & Subtraction (no whole #s) o Lesson 7 – Addition & Subtraction (with whole #s) o Lesson 8 – Multiplication & Division Percentages Percentages o Lesson 9 – Converting Decimals to Fractions to Percents o Lesson 10 – Calculating the Part o Lesson 11 – Cross-Multiplication Method Integers Integers o Lesson 12 – Addition & Subtraction o Lesson 13 – Multiplication, Division, & Absolute Value Algebra Algebra o Lesson 14 – Adding & Subtracting Variables o Lesson 15 – Multiplying & Dividing Variables o Lesson 16 – Square Roots Order of Operations Order of Operations o Lesson 17 – Please Excuse My Dear Aunt Sally o Lesson 18 – Order of Operations with Variables Practice Tests Practice Tests o Lesson 19 – Practice Test #1 o Lesson 20 – Practice Test #2

3. This lesson explains how to add and subtract negative numbers. Problem: You want to buy a house that costs $100,000. You only have $5,000. If you buy the house, what will your debt be? 5,000 5,000 - 100,000 -95,000 -95,000 If you spend more money than you have, you go into debt. Debt is a good example of working with negative integers. 15 Minute Math – Integers Lesson # 12 - 15 Minute Math – Integers Lesson # 12 - Addition & Subtraction

4. Negative numbers are like a debt. Positive numbers move to the right on the number line. Negative numbers move to the left on the number line. If you have 8 dollars, and then you get 2 dollars, you have 10 dollars.  8 + 2 = 10 If you have 8 dollars, and then you lose 2 dollars, you have only 6 dollars.  8 - 2 = 6 If you are 8 dollars in debt, and then you get 2 dollars, you are only 6 dollars in debt.  -8 + 2 = -6 If you are 8 dollars in debt, and then you lose another 2 dollars, you are 10 dollars in debt.  -8 - 2 = -10 15 Minute Math – Integers Lesson # 12 - 15 Minute Math – Integers Lesson # 12 - Addition & Subtraction -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 2 3 4 5 6 7 8 9 10

5. Use these hints to help work problems. If both numbers are negative, add the numbers, then make the answer negative. -8 – 2  -(8 + 2) = -10 When one sign is positive and one sign is negative, subtract the numbers and take the sign of the larger. 8 – 2 = 6 (“8” is positive, so the answer is positive) 2 – 8 = -6 (think “8-2” and take the sign of the larger number, “8”) Examples: ++  9 + 2 = 11 --  -9 – 2 = -11 +-  9 – 2 = 7 -+  -9 + 2 = -7 15 Minute Math – Integers Lesson # 12 - 15 Minute Math – Integers Lesson # 12 - Addition & Subtraction Try using this chart: Integer Addition/Subtraction ++  Add --  Add +-  Subtract -+  Subtract Always use the sign of the largest number for the sign of the answer

6. Try it yourself 3 + 6 = 9-3 – 6 = -9 3 – 6 = -3-3 + 6 = 3 4 + 7 = -4 – 7 = 4 – 7 = -4 + 7 = 7 + 4 = -7 – 4 = 7 – 4 = -7 + 4 = 5 + 1 = -5 – 1 = 5 – 1 = -5 + 1 = 10 + 20 = -10 – 20 = 10 – 20 = -10 + 20 = 4 + 7 = 11-4 – 7 = -114 – 7 = -3-4 + 7 = 3 7 + 4 = 11-7 – 4 = -117 – 4 = 3-7 + 4 = -3 5 + 1 = 6-5 – 1 = -65 – 1 = 4-5 + 1 = -4 10 + 20 = 30-10 – 20 = -30 10 – 20 = -10 -10 + 20 = 10 15 Minute Math – Integers Lesson # 12 - 15 Minute Math – Integers Lesson # 12 - Addition & Subtraction Click for answers:

7. If there are 2 signs next to each other, rewrite the problem with just one sign. To subtract a negative number, the 2 negatives make a positive. 8 – (-2)  8 - -2  8 + 2 = 10 Adding a negative number is the same as subtraction. 8 + (-2)  8 + -2  8 – 2 = 6 We don’t usually write the positive sign, but you could if you wanted to: 8 + 2  (+8) + (+2) 8 – 2  (+8) – (+2) or (+8) + (-2) 8 – 2  (+8) – (+2) or (+8) + (-2) The parentheses are only there to keep the signs separate. You can remove them if you want to. 15 Minute Math – Integers Lesson # 12 - 15 Minute Math – Integers Lesson # 12 - Addition & Subtraction

8. Try it yourself 3 – (+6)  3 – 6 = -3-2 – (-4)  -2 + 4 = 2 4 – (-2) = -8 + (-3) = -10 + (-3) = 10 – (+2) = 9 + (+2) = -7 – (-3) = 4 – (-2) = 6-8 + (-3) = -11 -10 + (-3) = 7 10 – (+2) = 8 9 + (+2) = 11-7 – (-3) = -4 15 Minute Math – Integers Lesson # 12 - 15 Minute Math – Integers Lesson # 12 - Addition & Subtraction End of Lesson 12 Click for answers:

9. This lesson explains how to multiply and divide negative numbers, plus the absolute value sign,||. Problem: You are $30 in debt. If your debt is increased 2 times, how much is your debt? -30 2 = -60 -30 x 2 = -60 Multiplying by a negative number is multiplying your debt. 15 Minute Math – Integers Lesson # 13 – 15 Minute Math – Integers Lesson # 13 – Multiplication, Division, & Absolute Value

10. Some simple rules will help you when multiplying negative numbers. The rules are the same for division. If there is one negative number, then the answer is negative. If there is one negative number, then the answer is negative. If two numbers are negative, then the answer is positive. If two numbers are negative, then the answer is positive. 8 x 5 = 40 40 ÷ 8 = 5 8 x 5 = 40 40 ÷ 8 = 5 -8 x 5 = -40-40 ÷ -8 = 5 8 x -5 = -40-40 ÷ 8 = -5 8 x -5 = -40-40 ÷ 8 = -5 -8 x -5 = 40 40 ÷ -8 = -5 If you have more than 2 numbers, the rule is: If you have more than 2 numbers, the rule is: An odd number of negative #s = negative answer An odd number of negative #s = negative answer An even number of negative #s = positive answer An even number of negative #s = positive answer (-1 )x (-2) x (-3) x (4) = -24 (3 negative #s) (-1) x (-2) x (-3) x (-4) = 24 (4 negative #s) 15 Minute Math – Integers Lesson # 13 – 15 Minute Math – Integers Lesson # 13 – Multiplication, Division, & Absolute Value If the signs are the same = positive answer. If the signs are different = negative answer. Integer Mult./Division ++  Answer is + --  Answer is + +-  Answer is - -+  Answer is -

11. The absolute value symbols “| |” make everything positive. To work an absolute value problem, first work everything inside the absolute value symbols. Then, make it positive. | -10 | = 10 | 10 | = 10 | 6 x -3 | = 18 Work inside the symbols  | 3 – 7 |= | -4 | Now, make it positive  | -4 | = +4 | 3 – 7 |= | -4 |= 4 15 Minute Math – Integers Lesson # 13 – 15 Minute Math – Integers Lesson # 13 – Multiplication, Division, & Absolute Value

12. Try it yourself 2 2 x 3 = 6-2 x 3 = -62 x -3 = -6-2 x -3 = 6 6 6 6 -6 6 x 8 =- 6 x 8 =6 x -8 =-6 x -8 = 7 7 7 7 7 x 4 =-7 x 4 =7 x -4 =-7 x -4 = 54  6 = -54  6 =54  -6 = -54  -6 = |-8 |5  -4| = |-8 x 3| = |5 x (-2) – 1| = 2 x |3 – 9| = |-12  -4| = 6 6 6 -6 6 x 8 = 48- 6 x 8 = -48 6 x -8 = -48 -6 x -8 = 48 7 7 7 7 7 x 4 = 28-7 x 4 = -28 7 x -4 = -28 -7 x -4 = 28 54  6 = 9 -54  6 = -9 54  -6 = -9 -54  -6 = 9 |-8 |5  -4| = 3 |-8 x 3| = 24|5 x (-2) – 1| = 11 2 x |3 – 9| = 12 |-12  -4| = 3 15 Minute Math – Integers Lesson # 13 – 15 Minute Math – Integers Lesson # 13 – Multiplication, Division, & Absolute Value Click for answers: