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# Vocabulary2

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### Vocabulary2

1. 1. Warm Up
2. 2. Vocabulary Variables Solve One-step equation Distributive property Solution term Like terms infinitely many solutions Algebraic expression inverse operation two-step equations constants no solution unique solution coefficients Linear equations in one variable Addition property of Equality additive inverse Cube root Decimal expansion exponent Exponential notation irrational Multiplication Property of Equality multiplicative inverses perfect square radical rational scientific notation significant digits Square Root
3. 3. Learning Targets EQ: What vocabulary words will we learn during Unit 2? Today I will receive vocabulary words and definitions for Unit 2 because this will allow me to speak and understand the language of the standards. I can: Define one vocabulary word using my own terms.
4. 4. Variable: A letter or symbol used to represent a number. Define Memory Cue X + 3= 10
5. 5. Define Solve: Identify the value that when substituted for the variable makes the equation a true statement. Memory Cue X + 6 = 16 - 6 - 6 x = 10
6. 6. Define One Step equation: equations that can be solved in one step Memory Cue x + 3= 10 -3 = -3 x = 7
7. 7. Define Two Step equation: equations that can be solved in two steps Memory Cue 7x + 3= 10 - 3 = -3 7x = 7 7 7 x = 1
8. 8. Define Distributive Property: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products Memory Cue
9. 9. Term: Parts of an expression or equation separated by +, =, or – signs Define Memory Cue 3x + 6x – 2 = 75
10. 10. Define Solution - the set of all values which, when substituted for unknowns, make an equation true. Memory Cue x2 = 16 x= 4 or x=-4
11. 11. Define Like Terms: Monomials that have the same variable raised to the same power. Only the coefficients of like terms can be different. Memory Cue 3x + 6x – 2 = 75
12. 12. Infinitely many solutions: This occurs when expressions on both sides of the equation are the same. Define Memory Cue -18a + 3 = 3 – 18a
13. 13. Define Algebraic Expression: A mathematical phrase involving at least one variable. Expressions can contain numbers and operation symbols. Memory Cue 4x+10
14. 14. Inverse Operation: Pairs of operations that undo each other, for example, addition and subtraction are inverse operations and multiplication and division are inverse operations. Define Memory Cue +6 -6 0 3x 3
15. 15. Define Constant- a number on its own Memory Cue 4x+10
16. 16. No solution: an equation in which the variable will cancel out and the constants are not equal Define Memory Cue -7x + 7 = 19 – 7x
17. 17. Unique solution: an equation in which the variable will not cancel out and the constants are not equal Define Memory Cue 6x + 9 = 19 – 7x
18. 18. Define Coefficient: A number used to multiply a variable. Memory Cue 8x
19. 19. Linear Equation in One Variable: An equation that can be written in the form ax + b = c where a, b, and c are real numbers and a ≠ 0 Define Memory Cue 6x + 9 = 19 – 7x
20. 20. Define Addition Property of Equality: For real numbers a, b, and c, if a = b, then a + c = b + c. In other words, adding the same number to each side of an equation produces an equivalent equation. Memory Cue x + 19 = 19 + x
21. 21. Additive Inverses: Two numbers whose sum is 0 are additive inverses of one another. Define Memory Cue 3/4 and – 3/4 are additive inverses of one another because 3/4 + (– 3/4) = (– 3/4) + 3/4 = 0.
22. 22. Define Exponent: The number of times a base is used as a factor of repeated multiplication. Memory Cue x2
23. 23. Define Memory Cue 2 휋 8.9876098……………… Irrational: A real number whose decimal form is non-terminating and non-repeating that cannot be written as the ratio of two integers
24. 24. Define Memory Cue 16 1/2 8.98989898… 8 Rational: A number that can be written as the ratio of two integers with a nonzero denominator.
25. 25. Define Memory Cue 5.86 x 10 Scientific Notation: A representation of real numbers as the product of a number between 1 and 10 and a power of 10, used primarily for very large or very small numbers.
26. 26. Define Perfect Square: A number that has a rational number as its square root. Memory Cue 16 100 -9 36
27. 27. Define Square Root: One of two equal factors of a nonnegative number. Memory Cue For example, 5 is a square root of 25 because 5 • 5 = 25. Another square root of 25 is -5 because (-5) • (-5) = 25. The +5 is called the principle square root of 25 and is always assumed when the radical symbol (√) is used.