The document provides definitions for various algebraic vocabulary terms, including algebraic expressions, binomials, common differences, and geometric sequences. It outlines key mathematical concepts such as direct variation, equivalent inequalities, and the relationships between terms in sequences. Additionally, it covers important properties and terms like the median, natural numbers, and intercepts of lines.

1. Algebra VocabularyBy: J SPleasant Valley Middle Mr. Gealand

2. Algebraic Expression:A Mathematical Phrase that can include numbers variables, and operation symbols.7 + x

3. Binomial:A polynomial of two terms. 3x + 7

4. Common Difference:The fixed number added to each term of an arithmetic sequence.The common difference is 3 in the arithmetic sequence 4, 7, 10, 13…

5. Direct Variation: A Linear function that can be expressed in the form y=kx , where k Doesn't equal 0.Y=18x

6. Equivalent Inequalities:Equivalent Inequalities have the same set of solution.x + 4<7 and x < 3

7. Function Rule:An equation that describes a function. Y = 4x + 1

8. Geometric Sequence:A number sequence formed by mult. A term in a sequence by a fixed number to find the next term.9, 3, 1, 1/3

9. Hypothesis:The part following if in a conditional. If the conditional “If an animal has four legs, Then it is a horse,” the hypothesis is “an animal has four legs”.

10. Integers:The whole numbers and their opposites.… -3, -2,-1, 0, 1, 2, 3,…..

11. Jump Point :Is a starting number in a mathematical sequence 1, 2, 3, 4, 5, 6, 7,…… The red number is the jump point.

12. Kilograms:The metric prefix for 1,000.For Example when the drug dealers bag up their drugs up. They use kilograms to see how much goes in each little baggie.

13. Like Terms:Terms with exactly the same variables factors in a variable expressions.4y and 16y

14. Median:The middle value in an ordered set of numbers.7, 10, 11, 12, 12, 12,13The median is 12.

15. Natural Numbers:The counting numbers.1, 2, 3, 4,……

16. Opposite:A number that is the same distance from zero on the number line as a given number, but lies in the opposite direction.-3 is the opposite is 3

17. Perfect square trinomial:Any trinomial of the form a2 + 2ab + b2 Or a 2 - 2ab + b2( x + 3)2 = x2 + 6x + 9

18. Quadratic Equation:An equation you can write in the standard form ax2 + bx + c = 0 , where a≠ 0.4x2 + 9x – 5 = 0

19. Relation:Any set of ordered pairs.{(0,0), (2,3), (2,-7)}

20. Sample Space:All possible outcomes of an event. When tossing two coins one at a time, the sample space is (H,H), (T,T), (H,T), (T,H).

21. Term of a Sequence: -4 is the first term of the sequence -4, 5, 14, 23.Any number in a sequence.

22. Unit Rate: A rate with a denominator of 1.The unit rate for 120 miles driven in 2 hours is 60 mi/h.

23. Variable: A symbol, usually a letter, that represents one or more numbers.X is a variable in the equation 9 – x = 3

24. Whole Numbers:The nonnegative integers. 0, 1, 2, 3,…..

25. X-InterceptThe x-coordinate of the point where a line crosses the x-axis.The x-intercept of 3x+4y = 12 is 3.

26. Y-InterceptThe y-coordinate of the point where a line crosses the y-axis.The y-intercept of y = 5x + 2 is 2.

27. Zero-Product PropertyFor all real numbers a and b, if ab + 0 or b = 0 0 * 0 = 0