introduction to algebra
Across
- 4. The number multiplied by the variable in an algebraic expression. In the expression 3x+5, 3 is the coefficient of x.
- 5. A symbol that indicates a mathematical operation, such as addition (+), subtraction (-), multiplication ( or *), or division ( or /).
- 7. An expression that contains at least one variable. For example, 5x+2
- 9. To find the value of an expression by substituting numbers for variables and simplifying. It's like solving the puzzle to see what the expression is really worth when x=2.
- 10. A property that lets you multiply a sum by multiplying each addend separately and then adding the products. It's like sharing the love (or the multiplication!) For example, a(b+c)=ab+ac.
- 11. The specific order in which mathematical operations should be performed (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) to get the correct answer.
- 13. To rewrite an expression in its simplest form by combining like terms and performing operations. For instance, 2x+3x can be simplified to 5x.
Down
- 1. A symbol, usually a letter, that represents a number. For example, in the expression 3x+5, x is the variable.
- 2. A term in an algebraic expression that is a constant. It doesn't contain any variables. In the expression 2x+7, the constant term is 7.
- 3. A combination of variables, numbers, and at least one operation. For instance, 4x−7 is an expression.
- 4. A number that doesn't change its value. In the expression 3x+5, 5 is the constant because it's just a plain number without any variables attached.
- 6. An expression that contains variables, numbers, and operations. For example, 2x+3y−8 is an algebraic expression.
- 8. A single number or variable, or numbers and variables multiplied together. Terms are separated by + or – signs in an expression. For example, in the expression 3x+5y−2, the terms are 3x, 5y, and −2.
- 12. A statement that two expressions are equal. Equations have an equals sign (=). For example, 2x+5=11 is an equation.