How do you simplify algebraic expressions?
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Transcript of How do you simplify algebraic expressions?
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How do you simplify algebraic expressions?
For example, how can you simplify 5 + x + 2x + 8 ?
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In this lesson you will learn how to simplify algebraic
expressions by combining like terms.
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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
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Let’s ReviewLet’s Review
The Any Order, Any Grouping Property states that numbers can be added in any order or multiplied in any order without
changing the sum or product.
For example:5 + x = x + 5
3 • (2 • 4) = (3 • 2) • 4
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Let’s ReviewA Common Mistake
Combining x2 and x terms.
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Let’s ReviewCore Lesson
5 + x + 2x + 8How many terms?- - - -
An expression is made up of “terms.” A term is either a number or a variable or
a number and variable multiplied together. Terms are separated by the operations of addition and subtraction.
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Let’s ReviewCore Lesson
If a term contains a variable, it also has a “coefficient.”
2x
coefficient variableA coefficient tells you how many times
the variable is used as an addend.
is the same as x + x
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Let’s ReviewCore Lesson
5 + x + 2x + 8
Which of these terms can you group together?
3x + 13 is equivalent to 5 + x + 2x + 8
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Let’s ReviewCore Lesson
Let’s combine these like terms:
x2 + x2 + 2x2 is equivalent to
x + 3x+ x + 2x is equivalent to
4x2
7x
1 + 10 + 39 + 5 is equivalent to55
Remember: The coefficient of a variable is 1 if there is no other listed.
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In this lesson you have learned to write equivalent algebraic
expressions by combining like terms.
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Let’s ReviewGuided Practice
Simplify this algebraic expression by combining like terms:5 + 3x + x2 + 4x + 2x2
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Let’s ReviewExtension Activities
Simpify this algebraic expression:
2 + 2x + 4x + 5 + 3x2 + 2x2
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Let’s ReviewExtension Activities
Simplify the algebraic expression.
x3 + 3x3 + 2x2 + 6x2 + 4 x + 12x + 5
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Let’s ReviewQuick Quiz
Write an equivalent expression combining like terms for 3a + a + 5.
Write an equivalent expression combining like terms for 10 + p + p2 + 5p2