Question | Answer |
What is the associative property? | The grouping does not matter.
Example: a+(b+c)=(a+b)+c |
What is the commutative property? | The order does not matter.
Example: a+b=b+a |
What is the distributive property? | States that the product of a number and a sum is equal to the sum of the individual products of the addends and the number.
Example: a(b + c) = ab + ac. |
What is the identity property? | The number multiplied or added which allows me to get the number back again.
Example: 9+0=9
1a=a |
What is a term? | Any number or variable connected by the addition or subtracting symbol.
Example: 4x+9
4x, 9 |
What are like terms? | Terms that contain the same variable(s). |
What is a variable term? | Any term that contains a variable.
Example: 4x |
What is a numeric term? | Any term made up of only numbers.
Example: 9 |
What is a constant? | The numeric term is also called the constant, and a numeric term is any term made up of only numbers.
Example: 9 |
What is an open sentence? | An equation that contains [a] variable(s). |
What is an inequality? | A mathematical statement that contains greater or less than symbols; <, >. |
What does an open circle mean? | The number is not included in our solution.
Not equal to - <, > |
What does a closed circle mean? | Means the number is included in our solution.
= to - ≤, ≥ |
What are the steps for solving equations? | 1. Identify variable
2. Write equation
3. Solve
4. Sentence |
What are the steps for solving inequalities? | When we multiply or divide by a negative number, you need to reverse the inequality sign. |
What does -x mean? | -x means -1. |
What does x mean? | x means 1. |
Solve 2x-3y+5-5x+2y-8 | -3x-1y-3 |
Solve 3(2x-4) | 6x-12 |
Solve -(2x-4) | -2x+4 |
Solve 3(2x-4)-3(x-2) | 3x-6 |