how do you identify equivalent expressions?
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How do you identify equivalent expressions?. For Example Are 4(5x + 2) and 4(5x) +4(2) equivalent expressions?. In this lesson you will learn to identify equivalent expressions by using substitution. Order of Operations. - PowerPoint PPT PresentationTRANSCRIPT
How do you identify equivalent expressions?
For ExampleAre 4(5x + 2) and 4(5x) +4(2)
equivalent expressions?
In this lesson you will learn to identify equivalent expressions
by using substitution.
Let’s ReviewLet’s ReviewOrder of Operations
Parentheses, Exponents, Multiplication and Division, Addition and Subtraction
3 x 2 + 9 -36 + 9 -3
15 -312
Let’s ReviewA Common MistakeRemember the Order of Operations
Wrong
Correct
5 x 3 + 4
15 + 419
5 x 735
Let’s ReviewCore LessonSam calculated the area of the garden below to be
14x + 6. Derek calculated the area of the garden to be 8x + 6(x +1). How can Sam and Derek check to see if
14x + 6 and 8x + 6(x + 1) are equivalent?8
x
x + 16
Let’s ReviewCore Lesson
14x + 614(2) + 6
8x + 6(x + 1)8(2) + 6(2 +
1)28 + 6 8(2) + 6(3)34 16 + 18
3434 = 34
14x + 6 = 8x + 6(x + 1)
Let’s ReviewCore Lesson
14x + 614(4) + 6
8x + 6(x + 1)8(4) + 6(4 +
1)56 + 6 8(4) + 6(5)62 32 + 30
6262 = 62
14x + 6 = 8x + 6(x + 1)
Let’s ReviewCore Lesson
Use substitution to determine if 4(5x + 2) is equivalent to 4(2x + 5)
4(5(3) + 2) 4(2(3) + 5)4(15+ 2) 4(6 + 5)
4(17) 4(11)68 44≠
4(5x + 2) and 4(2x + 5) are not equivalent.
In this lesson you have learned to determine if expressions are
equivalent by using substitution.
Let’s ReviewGuided Practice
Use substitution to show that 5x + 3(x – 2) is equivalent to 8x -6
Let’s ReviewExtension Activities
Emily wanted to know if 14x + 3 and 6x + 3 + 2x were equivalent expressions. She substituted 0 in for x and saw that both expressions simplified to 3. She concluded that both expressions were equivalent. Explain why Emily’s substitution led to her incorrectly concluding they 14x + 3 and 6x + 3 + 2x were equivalent expressions. Include work to show that the expressions are not equivalent.
Let’s ReviewExtension Activities
Use substitution to determine if the following expressions are equivalent.
8(x + y) and 2x + 8y + 6x
2a + 5(b – a) and 5b – 3a
2(x – y) and x + x – y – y
3x² + 6x – 8 and 5x -7 + 2x²
Let’s ReviewQuick Quiz
Use substitution to show that 4x – 8 is the same as 2(2x – 4).
Use substitution to show that 3x + 4 and (x + 1) + (2x + 3) are equivalent expressions.