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SJMS Math 7
Math 7 SJMS Semester Study Guide
| Question | Answer |
|---|---|
| Prime Number | A whole number greater than 1 that has exactly 2 factors, 1 and itself. |
| Prime factorization | Any whole number greater than one that has more than 2 factors. |
| Exponent | In a power, the number of times the base number is used as a factor. |
| Greatest common factor (GCF) | The greatest common factors of two or more numbers. |
| Least common factor (LCF) | The least common of the non-zero common multiples of two or more numbers. |
| Reciprocal | The multiplicitive inverse of a number |
| Term | Variables, 2 or more terms in one expression that are separated by operations signs such as +, -, /, etc. |
| x-coordinate | The first number of an ordered pair |
| y-coordinate | The second number of an ordered pair. |
| y-axis | Vertical number line in a coordinate plane |
| x-axis | Horizontal number line in a coordinate plane |
| Absolute value | The distance from zero on a number line. |
| Additive inverse | The integer and its opposite. The sum of an integer and its oppostive is zero. |
| Coefficient | The numerical part of an expression. |
| Inequality | A mathematical sentence that contains the symbols < or >. |
| Integer | The whole numbes and their opposites. For example... -3, -2, -1, 0, 1, 2, 3... |
| Negative integer | Interger less than zero. |
| Origin | The intersection of the x- and y-axis in a coordinate system.The zero point on a number line. |
| Positive integer | Integer greater than zero |
| Quadrant | One of the 4 regions into which the intersecting number lines divide the coordinate system. |
| Multiplying integers | The product of two integers with different signs is negative. |
| Subtracting integers | To subtract an integer, add its additive inverse. Ex. 6-3=6+(-3) |
| Variable Expression | An expression that contains one or more variables. Ex. 6a, a+b, 6a+ab |
| Variable | A letter or symbol used to represent one or more numbers. Any letter may be used. |
| Evaluate | To evaluate a variable expression you must substitute a given number for the variable. Ex. |
| Numerical expression | An expression that may contain one or more of the operations of addition, subtraction, multiplication or division, Ex. 3x5, 6+3, 8-9 |
| Algerbraic expression | An expression that contains both numerical and variable expressions |
| Real numbers | The set of numbers that contain all positive numbers, all negative numbers and zero. |
| Natural numbers | The set of counting numbers, (1, 2,3) |
| Whole numbers | (0, 1, 2, 3) |
| Rational number | A number that can be written in the form m/n where m and n are integers and cannot equal zero. |
| Twice as much as | 2x |
| Two less than | x - 2 |
| Five more than | x + 5 |
| Three more than twice the unknown | 2x + 3 |
| A number decreased by 7 | x - 7 |
| Ten decreased by the unknown | 10 - x |
| Sheri's age (x) 4 years from now | x + 4 |
| Dan's age (x) 10 years ago | x - 10 |
| Sum of a number and 20 | x + 20 |
| Product of a number and 3 | 3x |
| Quotient of a number and 8 | x/8 |
| Three is four more than a number | 3= x + 4 |
| Communative Property | States that two numbers may be added or multiplied in either order. |
| Equation | Two or more mathematical expressions separated by equal signs |
| Associative property | Allows you to add or multiply with different groupings. The final answer does not change |
| Distributive property | The product of a number and sum or difference of numbers. |