Download Equivalent expressions - Mexico Public Schools

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.