FC: Amanda's & Jessica's Math Lessons
1: Table of Contents | Algebraic Expressions | Combining like Terms | Solving Equations | Solving Word Problems
2: Algebraic Expressions | An algebraic expression is a number sentence that can not be solved.
3: Clue Words | In order to get the equation you have to find the clue words in the number sentence.
4: Clue | Addition | Subtraction | - combined - sum - plus - more - total | - minus - less - remain - deduct - loss
5: Multiplication | Words | Division | - product - times - area - per - each | - quotient - half - dividend - per - each
6: Clue | Answer | Switch the Order | - solve - find - solution - calculate - express | - than - from
7: Words | Equal | - is - was - have - has - were
8: Order of Clue Words | When you look for clue words in a number sentence, you have to look for them in a specific order. | 1 : Is 2 : than or from 3 : per or each 4 : other clue words
9: Examples | The product of 4 and n plus 8 | = | 4n + 8 | The quotient of 5 and n taken from 9 | = | 9 - 5/n | Half of 4 increased by n | = | 4/2 + n
10: Combining Like Terms : | Adding, subtracting, or multiplying numbers and variables. | When combining like terms you have to put the same variables (families) and the numbers (orphans) together.
11: Commutative Property | Commutative Property is the order in which you multiply, add, subtract, or divide. | Distributive Property | You will get the same answer in Distributive Property whether a sum is multiplied by a factor or each number is multiplied by the factor and then added.
12: Combining Like Terms Examples | 6n + 2 (4n - 3) + 7 | ^^^6n + 8n - 6 + 7 | 14n - 13
13: Combining Like Terms Examples | 3(5 - 2) + 4y | 3( 3 ) + 4y | 9 + 4y
14: Solving Equations | Solving Equations includes a variable in the problem, but unlike an expression, it has an equal sign and can be solved.
15: Six Steps To Solving Equations | 1. What is the variable? 2.. What is attached? 3. How is it attached? 4. Do the opposite operation to both sides of the equation. 5. Solve by isolating the variable. 6. Plug in the variable and check.
16: Examples | 9 + n = 19 | - 9 | - 9 | = | ------------ | n = 10
17: Check | 9 + n = 19 9 + 10 = 19 19 = 19
18: More Examples | 3n = 18 | 3 = 3 | --------- | n = 6
19: Check | 3n = 18 3 x 6 = 18 18 = 18
20: Solving Word Problems | 5 Strategies | #1. Finding Clue Words #2. Making a table #3. Making an equation #4. Writing an expression #5. Combining Like Terms
21: Strategy # 1 Finding CLue Words | Look for the clue words in the word problem to figure out the order you have to figure out the
22: Strategy # 2 Making a Table | You can make a table according to the information you have in the word problem. After you make the table you can make what ever you want to figure out the answer.
23: Strategy #3 Making an Equation | While you read the word problem you need to find the quantities. Then try to figure out the relationship between them. Finally, determine the equation of operation from the relationships.
24: Strategy # 4 Making an Expression
25: Strategy # 5 Combining like Terms