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Taffa Thomas Autumn Malcomson Shanice hammers Jessica Robinson . Wes Brooks Daniel Potter Topic- orders of operations -Equivalent expressions -Some important properties -Solving equation Writing expressions for surface area EXAMPLE PROBLEMS You need to evaluate and solve the Equations. 3x +15 when x=12 10x-12when x=4 5x2when = 4 4x2 +3x when x=-7 16x+8 3x+5xand 8x 7x+15=12x+5 6x+10=10x+5(x-6) 3x+47=7x+7 Vocabulary Words: Equivalent Expressions - Expressions that represent the same quantity. For example: 2+5, + 3+4, and 7 are equivalent expressions. For example, you can apply the distributive property to 2(x+3) to write the equivalent expression 2x+6. By applying the commutative property to 2x+6, you can write the equivalent expression 6+2x. Parabola - The graph of a quadratic function. A parabola has a line of symmetry that passes through the maximum point if the graph opens downward or through the minimum point if the graph opens upward. Factored Form – The form of an expression made up of products of factors rather than sums or differences of terms. The expressions (x+3) (x+4) and x (x-2) are in factored form. Expanded Form – The form of an expression made up of sums of differences of terms rather than products of factors. The expressions x2 +7x+12 and x2+2x are in expanded form. Commutative Property of Multiplication - A mathematical property that states that the orders in which quantities are multiplied does not matter. For example, 5* 7 = 7*5 and 2x(4)= (4) 2x. The commutative property of multiplication is sometimes called the rearrangement property of multiplication. Distributive Property – A mathematical property used to rewrite expressions involving addition and multiplication. The distributive property states that for any three quantities a, b, and c, a (b + c)=ab + ac. If an expression is written as a factor multiplied by a sum, you can use the distributive property to multiply the factor by each term in the sum. Example: 4 (5 + x) = 4 (5) +(x) = 20 + 4x I f an expression is written as a sum of terms and terms have a common factor, you can use the Evaluate the expression given for the x value, and describe the order in which you preformed you the operations. Example- 3x+15 and X=12 3(12)+15 3x12+15=51 Write two expressions, one in factored form and one in expanded form,for the area of the rectangle. Example3 2 5 3(2+5)=21 – Factored form 3*2+3*5=21 – Expanded form Copy the statement and insert parentheses, if needed, to make the statement true. Example- to make 3x+1-2x=x+3 a true statement, you could write 3(x+-2x=x+3.