Across
- 3. terms Like terms are terms that have the same variable raised to the same power. You can combine them by adding or subtracting their coefficients.
- 4. To simplify an expression means to rewrite it in its simplest form. This often involves combining like terms or reducing fractions.
- 10. A quadratic is a polynomial of degree 2. It typically has the form ax to the power of 2+ bx 2+bx+c, where aa,bb, and c c are constants.
- 11. Factorization is the process of breaking an expression into factors, or parts that can be multiplied together. For example, xto the power of 2 -9x factors to (x−3)(x+3)
- 12. An expression is a combination of numbers, variables, and operations. It does not contain an equal sign like an equation does.
- 14. An equation is a mathematical sentence that shows two expressions are equal. It contains an equal sign (=) between both sides.
- 16. A term is a single number, variable, or the product of numbers and variables. In the expression 3x+5 3x+5, both 3x3x and 5 5 are terms.
- 17. An inequality is a mathematical sentence that compares two expressions using symbols like <, >, ≤, or ≥. It shows that one side is greater or smaller than the other.
- 19. An exponent tells you how many times to multiply a base by itself. In 2 to the power of 3, the base is 2, and the exponent is 3, meaning 2×2x2
- 20. An intercept is the point where a graph crosses an axis. The x-intercept is where the graph crosses the x-axis, and the y-intercept is where it crosses the y-axis.
Down
- 1. A polynomial is an expression with more than one term. It can include constants, variables, and exponents, such as 3x2+2x+13x 2+2x+1.
- 2. A binomial is a polynomial with exactly two terms. An example of a binomial is x+5x+5.
- 5. A linear equation or function graphs as a straight line. It has the form y=mx+b y=mx+b, where m is the slope and b is the y-intercept.
- 6. A coefficient is a number that multiplies a variable. In the expression 4x, the coefficient is 4.
- 7. A variable is a symbol, usually a letter, that represents an unknown value. It can stand for different numbers in different situations.
- 8. To factor an expression means to break it down into simpler parts that can be multiplied together. For example, factoring x to the power of 5 +5x 2+5x gives x(x+5)x(x+5).
- 9. A root of an equation is a value that makes the equation true. For example, in x 2−4=0x 2−4=0, the roots are x=2x=2 and x=−2x=−2.
- 13. The slope of a line measures how steep it is. It is often denoted by m and is calculated as the change in y divided by the change in the x.
- 15. the absolute value of a number is its distance from zero on the number line. It is always positive or zero, regardless of whether the number is positive or negative.
- 18. A constant is a fixed value that does not change. In the equation 3x+5=113x+5=11, the number 5 is a constant.