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# SJMS Math 7

### Math 7 SJMS Semester Study Guide

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.
Created by: ecrumrin