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How do you read and write equivalent expressions using variables and exponents?. For example, what equivalent expression could represent x + x + x?. In this lesson you will learn how to read and write equivalent expressions by using variables and exponents. 15 ÷ y. 4a-3. - PowerPoint PPT Presentation
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How do you read and write equivalent expressions using
variables and exponents?
For example, what equivalent expression could represent x + x + x?
In this lesson you will learn how to read and write
equivalent expressions by using variables and exponents.
Let’s ReviewLet’s Review
We know that algebraic expressions contain numbers, operations and at
least one variable. 2(x + 3)
4a-3 15 ÷ y
12 - w2
Let’s ReviewLet’s Review
Exponents show how many times the base number is used as a factor.
42
exponent
base
42 is equivalent to 4 • 4
Let’s ReviewLet’s Review
Parentheses can be used to show a part of an expression that needs to be done first.
5(x + 2) - 6
Let’s ReviewA Common Mistake
Multiplying the base number by the exponent
42
42 ≠ 4 • 2
exponent
base
42 is not equivalent to 4 • 2
Let’s ReviewCore Lesson
Let’s look at the expression x + x + x for x = 4.
x + x + x 4 + 4 + 4
2x + x 2(4)+ 4
3x 3(4)
Let’s ReviewCore Lesson
Let’s write an equivalent algebraic expression for x times x plus 3.
x • x + 3Since “x” is used as a factor two
times, we can write x2.
x2 + 3
So, an equivalent
expression for x• x + 3 is
x2 + 3.
Let’s ReviewCore Lesson
How could we write the algebraic expression for two times the quantity of x2 plus x?
2(x2 + x) is the same as (x2 + x) + (x2 + x) or x2 + x + x2 + x
factor times 2
In this lesson you have learned how to read and write
equivalent expressions by using variables and exponents.
Let’s ReviewGuided Practice
Write two equivalent expressions for ten times the quantity of a number squared plus three.
Let’s ReviewExtension Activities
Write an equivalent expression for each of the following:
a. x + 1 + xb. y + y + y + yc. 2x2
d. 3(y + 5)
Let’s ReviewQuick Quiz
Write an equivalent expression for 2(a + 2).
Write an equivalent expression for 2x2 + 5.