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Algebra 2 Unit - 1
All real numbers, Terms and definitions
| Question | Answer |
|---|---|
| What is a variable? | A letter or symbol that represents an unknown quantity. Change |
| Operations | +,-,/,x^2,sin,cos, |
| Numerical Expression | An expression containing numbers and operations. (no equal sign) Evaluate |
| Algebraic Expression | An expression containing numbers, operations, and variables. (no equal sign) Simplify |
| Equation | A mathematical sentence stating that two expressions are equivalent. (3x + 2 =15) |
| Solution of an Equation in one variable | The value of the variable that makes the statement (equation, etc) true. x=6 |
| Commutative Property of Addition | a+b = b+a, same result no matter the order |
| Commutative Property of Multiplication | ab = ba, same result no matter the order |
| Associative Property of Addition | (a+b) + c = a + (b+c) when 3 or more numbers with parenthesis are present, how they're grouped with the parenthesis doesn't matter. |
| Associative Property of Multiplication | (ab)c = a(bc) when 3 or more numbers with parenthesis are present, how they're grouped with the parenthesis doesn't matter. |
| Identity Property of Addition | a+0=a, 0+a=a adding zero to any number results in the same number |
| Identity Property of Multiplication | a(1) = a, 1(a) = a multiplying one by any number results in the same number |
| Inverse Property of Addition | a+(-a) = 0 adding an opposite value to cancel out the value. |
| Inverse Property of Multiplication | a(1/a) = 1, ("a" doesn't equal zero) multiplying an opposite value to cancel out the value |
| Distributive Property | a(b+c) = ab+ac |
| Definition of Subtraction | adding the opposite (additive inverse) a-b = a + (-b) |
| Definition of Division | multiplying by the reciprocal (multiplicative inverse) a/b=a(1/b). ("b" doesn't equal zero.) |
| What is it defined as when a simplified equation is the same on both sides? | All real numbers |
| Distance Formula | d = √(x2- x1)^2 + (y2-y1)^2 |
| Area of a triangle | A=(1/2)(b)(h) |
| Area of a parallelogram | A=(b)(h) |
| Perimeter of a rectangle | (L)(w) |
| Area of a trapezoid | 2/(b1+b2)(h) |
| Area of a circle | πr^2 |
| Circumference of a circle | 2πr, C= 2π(√A/π) |
| Distance/Time | D = r(t) |
| What is the order for "all real numbers" beginning in the center of the venn diagram | whole numbers, integers, rational numbers |
| Which number group in the "all real number" system is not in the same diagram as the others? | Irrational numbers |
| Which number group(s) does 16 belong in? | Whole numbers, integers, rational numbers |
| Which number group(s) does -31 belong in? | Integers, rational numbers |
| Which number group(s) does 4.5 belong in? | Rational numbers |
| Which number group(s) does (-7/4) belong in? | Integers, rational numbers |
| Which number group(s) does (√3/2) belong in? | Irrational numbers |
| Which number group(s) does (-π/π) belong in? | Integers, rational numbers |
| Which number group(s) does -4.5 belong in? | Integers, rational numbers |
| How to find Manhattan distance? | x2-x1=horizontal value y2-y1=vertical value |
Created by:
av3r7
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