← Grade 6: Expressions and Equations
Flashcards
Grade 6: Expressions and Equations
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Grade 6: Expressions and Equations — Flashcards
| Front | Back |
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| Numeric Expression | An expression made up of numbers and operations, without any variables. |
| Algebraic Expression | An expression that includes letters (variables) standing for numbers, along with numbers and operations. |
| Equivalent Expressions | Two expressions that name the same number regardless of which value is substituted for the variable. |
| Simplify | To rewrite an expression in a shorter or more basic equivalent form. |
| Evaluate | To find the value of an expression by substituting given numbers for the variables. |
| Order of Operations | The conventional order for performing arithmetic operations (grouping symbols, exponents, multiplication/division, addition/subtraction) when there are no parentheses to specify otherwise. |
| Term | A part of an expression separated by addition or subtraction. |
| Like Terms | Terms that have the same variable(s) raised to the same power, which can be combined by adding or subtracting their coefficients. |
| Coefficient | The number that multiplies a variable in a term. |
| Constant | A term in an expression that is just a number, with no variable attached. |
| Variable | A letter used to represent an unknown number or any number in a specified set. |
| Distributive Property | A property used to multiply a sum by expressing it as the sum of two products; e.g., 3(2 + x) = 6 + 3x. |
| Factoring (Backwards Distribution) | Rewriting a sum as a product by pulling out a common factor; e.g., express 36 + 8 as 4(9 + 2). |
| Greatest Common Factor (GCF) | The largest whole number that divides evenly into two given numbers. |
| Least Common Multiple (LCM) | The smallest whole number that is a multiple of two given numbers. |
| Exponent | A number that shows how many times a base is used as a repeated factor (e.g., in s³, the exponent 3 means s × s × s). |
| Equation | A mathematical statement that two expressions are equal, often used to find the value of a variable that makes it true. |
| Solution (to an Equation/Inequality) | A value from a specified set that makes an equation or inequality true. |
| Inequality | A mathematical statement comparing two expressions using symbols like > or <, showing that one is greater than or less than the other, often with infinitely many solutions. |
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