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Algebra
| Question | Answer |
|---|---|
| What is a set? | A collection of distinct objects or numbers |
| What are numbers? | Values used for counting |
| What are Natural numbers (N)? | Counting numbers starting at 1 |
| What are Whole numbers (W)? | Natural numbers plus 0 |
| What are Integers (Z)? | Whole numbers and their opposites |
| What are Rational numbers (Q)? | Numbers that can be written as a fraction |
| What are Irrational numbers (Ir)? | Numbers that cannot be written as a fraction |
| What are Real numbers (R)? | All rational and irrational numbers |
| What is the Commutative Property of Addition? | a+b=b+a |
| What is the Commutative Property of Multiplication? | ab=ba |
| What is the Associative Property of Addition? | (a+b)+c=a+(b+c) |
| What is the Associative Property of Multiplication? | (ab)c=a(bc) |
| What is the Inverse Property of Addition? | a+(-a)=0 |
| What is the Inverse Property of Multiplication? | a*(1/a)=1 |
| What is the Identity Property of Addition? | a+0=a |
| What is the Identity Property of Multiplication? | a*1=a |
| What does simplify mean? | Reduce an expression to its simplest form |
| What does solve mean? | Find the value of the variable that makes the statement true |
| What is an equation? | A statement showing two expressions are equal |
| What is an inequality? | A statement comparing two expressions using > < ≥ ≤ |
| What is a variable? | A symbol representing a value that can change |
| What is an average? | Sum of values divided by the number of values |
| What is a line? | A straight one-dimensional figure extending infinitely |
| What is standard form? | Ax+By=C |
| What is a graph? | A visual representation of relationships between variables |
| What is a reflection? | A flip of a graph across an axis or line |
| What is a vertical stretch? | A graph stretched away from the x-axis |
| What is a factor? | A number that multiplies with another to form a product |
| What is a unit? | A single whole quantity |
| What is a vertex? | The highest or lowest point of a graph |
| What is an axis? | A reference line such as the x-axis or y-axis |
| What is slope (m)? | The rate of change or steepness of a line |
| What are points? | Specific locations represented by coordinates |
| What is a system? | Two or more equations solved together |
| What does graphing mean? | Plotting points to find solutions visually |
| What is a solution? | A value or point that satisfies the equation or system |
| What is substitution? | Solving by replacing one variable with an expression |
| What is elimination? | Solving by adding or subtracting equations to remove a variable |
| What does x represent? | A variable |
| What does y represent? | A variable |
| What does w represent? | A variable |
| What does + mean? | Addition |
| What does − mean? | Subtraction |
| What does = mean? | Equality |
| What does × mean? | Multiplication |
| What does ÷ mean? | Division |
| What does ± mean? | Plus or minus |
| What does √ mean? | Square root |
| What does factor mean? | Break an expression into multiplied parts |
| What is factoring? | Writing an expression as a product |
| What is completing the square? | Rewriting a quadratic into vertex form |
| What does using square roots mean? | Solving by isolating and rooting |
| What does round mean? | Adjusting to the nearest place value |
| What is a function? | A relationship where each input has one output |
| What is the axis of symmetry? | A vertical line dividing a graph evenly |
| What is the y-intercept? | Where a graph crosses the y-axis |
| What is the minimum value? | The lowest output of a function |
| What are square roots? | Values that produce a number when squared |
| What does squared mean? | Raised to the power of 2 |
| What does cubed mean? | Raised to the power of 3 |
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