Simplify Algebraic Expressions 1

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Question 1 of 4

1. Question
Simplify the expression

$-5 xx y xx 2$
- (-10y)
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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.

First, combine the constants and solve for their product

$-5$ $xxyxx$ $2$ $=$ $-5xx2$ $xxy$

$=$ $-10$ $xxy$

Now that there are no repeated variables and the constant is kept at the left, we can simply remove the multiplication sign.

$-10xxy$ $=$ $-10y$

$-10y$
Question 2 of 4

2. Question
Simplify the expression

$a xx a xx b xx 2$
- 1. $2a^2b$
- 2. $2a2b$
- 3. $aab^2$
- 4. $2ab$
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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.

Multiplication Property of Exponents

$a^nxxa^m=a^(n+m)$

First, keep the constants to the left side of the expression.

$axxaxxbxx$ $2$ $=$ $2$ $xxaxxaxxb$

Next, combine the same variables by multiplying them.

Remember that all values without exponents have $1$ as a hidden exponent.

$2xxa^1xxa^1xxb$ $=$ $2xxa^((1+1))xxb$ Multiplication property of exponents

$=$ $2xxa^2xxb$

Now that there are no repeated variables and the constant is kept at the left, we can simply remove the multiplication sign.

$2xxa^2xxb$ $=$ $2a^2b$

$2a^2b$
Question 3 of 4

3. Question
Simplify the expression

$7f xx 2f xx 3$
- 1. $21^2f$
- 2. $f14f$
- 3. $42f^2$
- 4. $21f$
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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.

Multiplication Property of Exponents

$a^nxxa^m=a^(n+m)$

First, keep the constants to the left side of the expression.

$7$ $fxx$ $2$ $fxx$ $3$ $=$ $7xx2xx3$ $xxfxxf$

$=$ $42$ $xxfxxf$

Next, combine the same variables by multiplying them.

Remember that all values without exponents have $1$ as a hidden exponent.

$42xxf^1xxf^1$ $=$ $42xxf^((1+1))$ Multiplication property of exponents

$=$ $42xxf^2$

Now that there are no repeated variables and the constant is kept at the left, we can simply remove the multiplication sign.

$42xxf^2$ $=$ $42f^2$

$42f^2$
Question 4 of 4

4. Question
Find the correct simplified expression

$5xx(m-3)$
- 1. $5(m-3)$
- 2. $m(5-3)$
- 3. $5(3)m$
- 4. $15(m)$
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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.

Multiplication Property of Exponents

$a^nxxa^m=a^(n+m)$

In algebraic terms, constants and variables next together means they are being multiplied to each other.

Therefore, $5xx(m-3)$ can be expressed as $5(m-3)$ .

$5(m-3)$

Simplify Algebraic Expressions 1

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Quiz summary

Information

1. Question

Hint

Great Work!

2. Question

Hint

Correct!

Multiplication Property of Exponents

3. Question

Hint

Keep Going!

Multiplication Property of Exponents

4. Question

Hint

Fantastic!

Multiplication Property of Exponents

Quizzes

$2xxa^1xxa^1xxb$	$=$	$2xxa^((1+1))xxb$	Multiplication property of exponents
	$=$	$2xxa^2xxb$

$7$ $fxx$ $2$ $fxx$ $3$	$=$	$7xx2xx3$ $xxfxxf$
	$=$	$42$ $xxfxxf$

$42xxf^1xxf^1$	$=$	$42xxf^((1+1))$	Multiplication property of exponents
	$=$	$42xxf^2$

$-5$ $xxyxx$ $2$	$=$	$-5xx2$ $xxy$
	$=$	$-10$ $xxy$