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# Life saving math notes and reminders for your blonde moments Math 038

San Diego Mesa College

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###### Class Notes

##### Biol 1020 - 001 (BIOL, Christine A. Sunderman, Principles of Biology (1020))

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This 9 page Class Notes was uploaded by Katherine Berry on Wednesday August 31, 2016. The Class Notes belongs to Math 038 at San Diego Mesa College taught by Nevarez in Fall 2016. Since its upload, it has received 7 views. For similar materials see Pre-Algebra and Study Skills in Mathematics at San Diego Mesa College.

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Date Created: 08/31/16

Week 1 and 2 of College Pre-algebra Life Saver notes! Order of operations Remember GEMDAS 1.G rouping 2.E xponents 3.M ultiply 4.D ivide 5.A dd 6.S ubtract NOTE: when multiplying, dividing, adding, and subtracting you do it as you are reading a book; you go left to right. Important things to remember!: When there are parenthesis ( ) inside of brackets [ ] be sure to do the parenthesis inside of the brackets first. Ex: 35- [3+(9-7)-2] The first step of the problem would be what is in the parenthesis, so (9-7) then you can solve for what remains left in the larger bracket. Don't be intimidated if you see fractions! Fractions just simply mean divide | | aka absolute value is considered a grouping symbol When you have to find the power of a number And grouping is involved if it's outside the parenthesis you solve what's in the parenthesis first then find the power of that solution. But if it's inside the parenthesis you find the power for ONLY the number its directly beside then use that new number to solve what's in the parenthesis. Weekly vocabulary words: Variables- x, y, a, b, t Algebraic expression- combination of letters and numbers Ex: 53+x , a+z+41+x, a+89 Algebraic equation- is two algebraic expressions with an equal sign in the middle Ex: x+5=2x+8, x+10=15, 153-x=100x+1 Solution- a number that makes the equation true Ex: 3x+9=12 x=1 , 3(1)+9=12 a solution to 3x+9=12 is x=1 Integers- whole numbers that are positive or negative Absolute value- the distance of a number to zero NOTE: distance is always positive < Greater than >Less than <bigger than >Smaller than Remember the crocodile wants more so he’s going to go for the larger amount!!!! How to solve an equation: 1. Identify variables 2. Identify action of variable 3. Preform opposite of step 2 on both sides 4. Done Goal- y=number To check your answer plug in what you came up with to see if it works! INTEGERS Adding integers- Adding 2 numbers with the same sign add them and keep the sign Adding 2 numbers with different signs 1. Take absolute value of both numbers 2. Subtract big-small number 3. Keep the sign of the number with the bigger absolute value Subtracting integers- formula: a-b=a+(-b) Multiplying/ Dividing integers-(same rule applies to both) + x + = + -x -=+ + x - = - -x+=- NOTE: For multiplying if you see a 0 you need to multiply by your answer is automatically going to be 0 0/n= 0 n/0=undefined When you have to find the power of a negative number if the power of the number is an even number the answer of the problem is going to be a positive number. But if you have to find a negative numbers power and it is an odd number the answer to the problem is going to be a negative number. Week 1 and 2 of College Pre-algebra Life Saver notes! Order of operations Remember GEMDAS 1.G rouping 2.E xponents 3.M ultiply 4.D ivide 5.A dd 6.S ubtract NOTE: when multiplying, dividing, adding, and subtracting you do it as you are reading a book; you go left to right. Important things to remember!: When there are parenthesis ( ) inside of brackets [ ] be sure to do the parenthesis inside of the brackets first. Ex: 35- [3+(9-7)-2] The first step of the problem would be what is in the parenthesis, so (9-7) then you can solve for what remains left in the larger bracket. Don't be intimidated if you see fractions! Fractions just simply mean divide | | aka absolute value is considered a grouping symbol When you have to find the power of a number And grouping is involved if it's outside the parenthesis you solve what's in the parenthesis first then find the power of that solution. But if it's inside the parenthesis you find the power for ONLY the number its directly beside then use that new number to solve what's in the parenthesis. Weekly vocabulary words: Variables- x, y, a, b, t Algebraic expression- combination of letters and numbers Ex: 53+x , a+z+41+x, a+89 Algebraic equation- is two algebraic expressions with an equal sign in the middle Ex: x+5=2x+8, x+10=15, 153-x=100x+1 Solution- a number that makes the equation true Ex: 3x+9=12 x=1 , 3(1)+9=12 a solution to 3x+9=12 is x=1 Integers- whole numbers that are positive or negative Absolute value- the distance of a number to zero NOTE: distance is always positive < Greater than >Less than <bigger than >Smaller than Remember the crocodile wants more so he’s going to go for the larger amount!!!! How to solve an equation: 1. Identify variables 2. Identify action of variable 3. Preform opposite of step 2 on both sides 4. Done Goal- y=number To check your answer plug in what you came up with to see if it works! INTEGERS Adding integers- Adding 2 numbers with the same sign add them and keep the sign Adding 2 numbers with different signs 1. Take absolute value of both numbers 2. Subtract big-small number 3. Keep the sign of the number with the bigger absolute value Subtracting integers- formula: a-b=a+(-b) Multiplying/ Dividing integers-(same rule applies to both) + x + = + -x -=+ + x - = - -x+=- NOTE: For multiplying if you see a 0 you need to multiply by your answer is automatically going to be 0 0/n= 0 n/0=undefined When you have to find the power of a negative number if the power of the number is an even number the answer of the problem is going to be a positive number. But if you have to find a negative numbers power and it is an odd number the answer to the problem is going to be a negative number. Week 1 and 2 of College Pre-algebra Life Saver notes! Order of operations Remember GEMDAS 1.G rouping 2.E xponents 3.M ultiply 4.D ivide 5.A dd 6.S ubtract NOTE: when multiplying, dividing, adding, and subtracting you do it as you are reading a book; you go left to right. Important things to remember!: When there are parenthesis ( ) inside of brackets [ ] be sure to do the parenthesis inside of the brackets first. Ex: 35- [3+(9-7)-2] The first step of the problem would be what is in the parenthesis, so (9-7) then you can solve for what remains left in the larger bracket. Don't be intimidated if you see fractions! Fractions just simply mean divide | | aka absolute value is considered a grouping symbol When you have to find the power of a number And grouping is involved if it's outside the parenthesis you solve what's in the parenthesis first then find the power of that solution. But if it's inside the parenthesis you find the power for ONLY the number its directly beside then use that new number to solve what's in the parenthesis. Weekly vocabulary words: Variables- x, y, a, b, t Algebraic expression- combination of letters and numbers Ex: 53+x , a+z+41+x, a+89 Algebraic equation- is two algebraic expressions with an equal sign in the middle Ex: x+5=2x+8, x+10=15, 153-x=100x+1 Solution- a number that makes the equation true Ex: 3x+9=12 x=1 , 3(1)+9=12 a solution to 3x+9=12 is x=1 Integers- whole numbers that are positive or negative Absolute value- the distance of a number to zero NOTE: distance is always positive < Greater than >Less than <bigger than >Smaller than Remember the crocodile wants more so he’s going to go for the larger amount!!!! How to solve an equation: 1. Identify variables 2. Identify action of variable 3. Preform opposite of step 2 on both sides 4. Done Goal- y=number To check your answer plug in what you came up with to see if it works! INTEGERS Adding integers- Adding 2 numbers with the same sign add them and keep the sign Adding 2 numbers with different signs 1. Take absolute value of both numbers 2. Subtract big-small number 3. Keep the sign of the number with the bigger absolute value Subtracting integers- formula: a-b=a+(-b) Multiplying/ Dividing integers-(same rule applies to both) + x + = + -x -=+ + x - = - -x+=- NOTE: For multiplying if you see a 0 you need to multiply by your answer is automatically going to be 0 0/n= 0 n/0=undefined When you have to find the power of a negative number if the power of the number is an even number the answer of the problem is going to be a positive number. But if you have to find a negative numbers power and it is an odd number the answer to the problem is going to be a negative number.

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