Which of the following expressions are equivalent to the expression 3x + 4 - 5x + 6 - 2? Select all that apply.
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-2x + 8
4 - 2x + 4
8x +8
-2x + 10 - 2
-2x + 12
-2x + 8
-2x + 12
Simplify the expression to have fewer terms 11x - 4y - 2(2x +2y)
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7x
7x - 8y
15x - 8y
7x - 2y
11x - 4y - 2(2x + 2y)
= 11x - 4y - 4x - 4y
= (11x - 4x) + (-4y - 4y)
= 7x - 8y
Therefore, the simplified expression is 7x - 8y.
What is the sum? 8/5 + (- 5/9)
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97/45
3/4
47/45
4/3
To find the sum of fractions, we need to have a common denominator.
The least common multiple of 5 and 9 is 45.
Converting the fractions to have a denominator of 45, we get:
(8/5) * (9/9) = 72/45
(-5/9) * (5/5) = -25/45
Now adding the fractions:
72/45 + (-25/45) = 72 - 25 / 45 = 47/45
So, the sum is 47/45. The correct option is 47/45.
To find the equivalent expressions, we can simplify the given expression step by step:
First, we combine the like terms:
3x - 5x = -2x
4 + 6 - 2 = 8
So, the given expression 3x + 4 - 5x + 6 - 2 simplifies to -2x + 8.
Now, let's compare this simplified expression to the options provided:
-2x + 8 - This expression is equivalent to the given expression.
4 - 2x + 4 - This expression is not equivalent to the given expression. The terms are rearranged, and it does not simplify to -2x + 8.
8x + 8 - This expression is not equivalent to the given expression. The terms are different, and it does not simplify to -2x + 8.
-2x + 10 - 2 - This expression is not equivalent to the given expression. The terms are rearranged and simplified differently.
-2x + 12 - This expression is not equivalent to the given expression. The terms are different, and it does not simplify to -2x + 8.
Therefore, the only equivalent expression to the given expression 3x + 4 - 5x + 6 - 2 is -2x + 8.
To determine which expressions are equivalent to 3x + 4 - 5x + 6 - 2, we need to simplify it first.
Start by combining like terms. Group the x terms and the constant terms together:
(3x - 5x) + (4 + 6 - 2)
Combine the x terms: -2x
Combine the constant terms: 4 + 6 - 2 = 8
So, the simplified expression is -2x + 8.
Now, let's go through each option to see which ones are equivalent:
1. -2x + 8: This matches the simplified expression and is equivalent.
2. 4 - 2x + 4: Rearranging this expression, we get 4 + 4 - 2x = 8 - 2x. This does not match the simplified expression, so it is not equivalent.
3. 8x + 8: This expression does not match the simplified expression, so it is not equivalent.
4. -2x + 10 - 2: Rearranging this expression, we get -2x + 8. This matches the simplified expression and is equivalent.
5. -2x + 12: This expression does not match the simplified expression, so it is not equivalent.
Therefore, the expressions that are equivalent to 3x + 4 - 5x + 6 - 2 are:
-2x + 8
-2x + 10 - 2