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Question 1 of 4
Simplify the expression
−5×y×2
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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×y×2 |
= |
−5×2×y |
|
= |
−10×y |
 |
Now that there are no repeated variables and the constant is kept at the left, we can simply remove the multiplication sign.
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Question 2 of 4
Simplify the expression
a×a×b×2
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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.
First, keep the constants to the left side of the expression.
| a×a×b×2 |
= |
2×a×a×b |
Next, combine the same variables by multiplying them.
Remember that all values without exponents have 1 as a hidden exponent.
| 2×a1×a1×b |
= |
2×a(1+1)×b |
Multiplication property of exponents |
|
= |
2×a2×b |
Now that there are no repeated variables and the constant is kept at the left, we can simply remove the multiplication sign.
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Question 3 of 4
Simplify the expression
7f×2f×3
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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.
First, keep the constants to the left side of the expression.
| 7f×2f×3 |
= |
7×2×3×f×f |
|
= |
42×f×f |
Next, combine the same variables by multiplying them.
Remember that all values without exponents have 1 as a hidden exponent.
| 42×f1×f1 |
= |
42×f(1+1) |
Multiplication property of exponents |
|
= |
42×f2 |
Now that there are no repeated variables and the constant is kept at the left, we can simply remove the multiplication sign.
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Question 4 of 4
Find the correct simplified expression
5×(m−3)
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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.
In algebraic terms, constants and variables next together means they are being multiplied to each other.
Therefore, 5×(m−3) can be expressed as 5(m−3).
