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Identify coefficients a, b, and c. Use quadratic formula to solve. Write ordered pair. Change division to multiplication by reciprocal. Write in simplest radical form. Reduce coefficients. Determine LCD. Take square root of perfecrms. Multiply both sides of the equation by LCD. Factor as a difference of squares. Factor the radicand using a perfect square. Write as a single radical. Rationalize the denominator. Combine like radicals. Set each factor equal to zero and solve. Write inE to isolate a variable. Rewrite equation to isolate variable. To divide, subtract exponents. Multiply numerators, multiply denominators. Combine fractions with common denominators. Multiply by factors needed to create LCD. Raise each fraction to higher tea,b so a*b = constant, a+b = linear coefficient. Determine separation of linear term. Factor GCF out of each binomial. Add equations. Determine remaining variable by substitution. Multiply equation(s) by a constant. Substitute variable expressions. Use APOes to indicated powers. Use Distributive Property of Multiplication. Use Addition Property of Equations. Use Multiplication Property of Equations. Use the FOIL method. Combine like terms. Use APOE to collect variables on one side. Factor out the GCF. Find ficients of like terms. Combine coefficients. Distribute negative sign. Regroup coefficients and variables. Multiply where indicated. Multiply coefficients and add exponents of like terms. Raise monomials to indicated powers. Raise coefficients and variablermine sign and subtract. Determine sign and multiply. Determine sign and divide. Express meaning of exponent(s). Evaluate inside parentheses. Evaluate using exponent(s). Multiply or divide from left to right. Add or subtract from left to right. Group coefSolve. Factor. Reduce. Simplify. Find the sum. Find the difference. Find the product. Find the quotient. Find the solution set. Subtract smaller absolute value from larger. Determine sign. To subtract a number, add its opposite. Determine sign and add. Det:;<=           Addition Prop. of Eq. (APOE)Additive inverse Assoc. Prop. of Addition Assoc. Prop. of Multiplication Axes Base Binomial Coefficient Commutative Prop. of Add. Commutative Prop. of Mult. Consecutive integers Constant Coordinate Denominator Difference Difference of two squares Diminished Distributive Prop. of Mult. Division Property of Eq. Equation Exponent Expression Factoring Factors FOIL method Greatest Common Factor (GCF) Improper fraction Integer Inverse Inverse operation roduct. For example, 12 could be factored as 12*1, 6*2, or 3*4. Any numbers or variables multiplied to form a product. In the equation 3x(12) = 36x, 3x and 12 are factors of 36x.The method for multiplying binomial terms. For example: (2x + 3)(x - 4)by itself. In the example 5^4, 4 is the exponent. The expression is an equivalent, but shorter, way of writing 5 * 5 * 5 * 5. Any group of terms connected by operation signs. 8x - 2 is an expression. The process of separating the factors of a pqual to zero without making the equation an inequality. If 6x = 7, then 6x/6 = 7/6. A mathematical sentence that uses the symbol of equality. 9x - 3 = 15 is an equation. The small raised number which indicates how many times the base is multiplied s 5 - 3, or 2. The product of a term and a polynomial can be written as the sum of several products. For all real numbers x, y, and z, x(y + z) = xy + xz, and xy + xz = x(y + z). Both sides of an equation can be divided by any real number not ethe result of subtraction. In 10 - 4 = 6, 6 is the difference. An expression of the form a^2 - b^2, which can be factored to (a + b)(a - b). If a = 5 and b = 7, then 5^2 - 7^2 = (5 + 7)(5 - 7). 5 diminished by 3 means 5 decreased by 3, which issociated with a point on a number line. Also a point on a graph represented by an ordered pair of numbers. The number or expression below the fraction bar is the denominator. In the fraction 9/11c, 11c is the denominator. The difference is the smallest to the largest, (x, x+1, x+2, x+3...). If x = -5, then the next consecutive integer would be -4.The constant term in an equation always represents the same value. In the equation 7b^2 + 3b + 2 = 0, 2 is the constant term. The number aWhen adding, we can change the order of the addends without changing the value. For all x and y: x + y = y + x.When multiplying, we can change the order of the factors. For all x and y: x * y = y * x. Whole numbers that follow each other from the number of times indicated by the exponent. 3^2 = 3*3 A polynomial with two terms. 5a + 6 and 7x^2 - 3z^2 are binomials. A coefficient is the multiplier of a variable. In 4x - 3y, 4 is the coefficient of x, and -3 is the coefficient of y. , and z: (xy)(z) = (x)(yz). Plural for axis. A reference line, such as the horizontal or vertical axis in a coordinate plane. For example, the x-axis and the y-axis on a graph. In the example 3^2, 3 is the base that is to be multiplied by itselfd its additive inverse is 0. (7) + (-7) = 0 When adding, we can change the grouping of the addends. For all real numbers x, y, and z: (x + y) + z = x + (y + z). When multiplying, we can change the grouping of the factors. For all real numbers x, y The absolute value of -9 is 9. Any real number can be added to both sides of an equation without making the equation an inequality. For example, if 6x + 4 = 10, then 6x + 4 + 2 = 10 + 2. The additive inverse of a number x is -x. The sum of a number anotient RadicalRadicand Reciprocals Slope of a line Slope-intercept formula Square Square root Standard form of an equation Subtraction Prop. of Eq. Sum System of equations Trinomial Variable The value of a number without regard for its sign. Least Common Denominator (LCD) Least Common Multiple (LCM) Like terms Linear term Monomial Mult. Prop. of Eq. (MPOE) Multiplicative inverse Numerator Ordered pair Perfect square Polynomial Power Product Quadratic equation Quadratic formulaQu First: (2x)(x) = 2x^2 Outer: (2x)(-4) = -8x Inner: (3)(x) = 3x Last: (3)(-4) = -12 Then add and simplify, 2x^2 - 5x - 12. The largest monomial term that is a factor of all numbers and variables in a list of terms. For example, the GCF of 6b^4c^2 and 2b^2c^3 is 2b^2c^2. The GCF of 32 and 48 is 16. A fraction whose numerator is equal to or greater than its denominator. A member of the set of positive and negative whole numbers, including 0. {...-3, -2, -1, 0, 1, 2, 3...} The opposite of Oq$TONU?q GNGV  vvGEL SP!CHOq LO XK @ j EXI|q _ 5  NOԟq   ASCIɮq 0   O ; PUTPO̾q V 9J> N PAINTq qJJ%LP FRAMEq qJJ%LP INPOLr qJJ%Lhe given number. The square root of 49 is 7 or -7.ax^2 + bx + c = 0 is the standard form of an equation. Any real number can be subtracted from both sides of an equation without making the equation an inequality. If 6y + 4 = 9 then 6y + 4 - 4 = 9 -y1/x2-x1. The slope of a horizontal line is 0 and a vertical line has no slope. The square of a number is the product of the number and itself. The square of 5, also written as 5^2, is 5*5 or 25. A number which when multiplied by itself yields t quotient of the vertical change (rise) between any two points on a given line and the horizontal change (run) between the same two points.If a line contains coordinate pairs (x1,y1), (x2,y2) and x1 does not equal x2, then the slope, m, equals y2-The symbol and the whole expression indicating that a root is to be taken.The expression or number under a radical sign. Two numbers whose product equals one. For example, 5/2 and 2/5 are reciprocals. Also called multiplicative inverses. Theto the second power, but no higher. For example, 4x^2 - 7x + 5 is a quadratic equation.The formula used to compute the solutions of a quadratic equation of the form ax^2 + bx + c = 0.The result of division. For example, 48/6 = 8. 8 is the quotient.7 are all polynomials. The power of a term is indicated by the exponent. The power of 4^2 is 2. The result of multiplication. For example, 5 * 6 = 30. The product of 5 and 6 is 30. The variable in any given term of a quadratic equation is raised in the fourth quadrant of a graph. A rational number whose square root is a whole number. For example, 64 is a perfect square. The square root of 64 is 8 or -8. Two or more monomial terms connected by an operator. 4c^2, 2b - 58, and 5x^3 + 4x - 1The number or expression above the fraction bar is the numerator. In 11c/50c, 11c is the numerator.A pair of numbers in which the order is important. Together, both numbers define the location of a single point. For example, (3, -2) defines a point d c, if a = b, then ac = bc and ca = cb. If a = 5, b = 5, and c = 8, then (5)(8) = (5)(8) and (8)(5) = (8)(5).One number is the multiplicative inverse of another when their product equals 1. Also known as a reciprocal. For example, (1/5)(5) = 1. m. A number, a variable, or the product of a combination of numbers and variables. 7, 9x, and 5b^3 are all monomials.Multiplying each side of an equation by the same nonzero number results in an equivalent equation. For all real numbers a, b, aniables. In like terms, corresponding variables have the same exponents. 9xy^4, (-13)xy^4, and 178xy^4 are like terms. 9xy^4, 9x^4y, and 9y^5 are not like terms. A first degree term in a polynomial. In 5x^3 - x + 17 = 89, -x is the linear terators. It is needed to add or subtract fractions that do not contain common denominators. The smallest positive whole number that is exactly divisible by two or more given whole numbers. The LCM of 4, 5, and 10 is 20.Terms which have the same vara number or variable. 8 and -8 are inverses.An operation which reverses a corresponding operation. Addition and subtraction are inverse operations. Multiplication and division are also inverse operations. 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