tell whether these expressions are equivalent.
-28x and (-8)(7x)(1 half)
Yes, the expressions -28x and (-8)(7x)(1 half) are equivalent.
To understand why, let's simplify both expressions:
-28x can be simplified as -28 multiplied by x, which equals -28x.
(-8)(7x)(1 half) can be simplified step by step:
-8 multiplied by 7x equals -56x.
Then, (-56x)(1 half) implies multiplying -56x by 1 half, which is equivalent to dividing -56x by 2. This gives us -28x.
Therefore, we can see that -28x and (-8)(7x)(1 half) simplify to the same expression, making them equivalent.