To determine which expressions are not equivalent to 2x + 2 - 5x + 7 - 3, we can simplify each expression and compare the results.
Starting with 2x + 2 - 5x + 7 - 3:
Combine like terms: (2x - 5x) + (2 + 7 - 3) = -3x + 6
Now let's simplify each given expression and compare:
1) 2x + 11 - 5x:
Combine like terms: (2x - 5x) + 11 = -3x + 11
This expression is not equivalent to -3x + 6.
2) -3x + 6:
This is already simplified and equivalent to the original expression.
This expression is equivalent to -3x + 6.
3) 3x - 6:
This expression is not equivalent to -3x + 6.
4) 2(x + 1) - 5x + 4:
Apply the distributive property: 2x + 2 - 5x + 4 - 5x + 4
Combine like terms: (2x - 5x - 5x) + (2 + 4 + 4) = -8x + 10
This expression is not equivalent to -3x + 6.
5) 2(x + 1) - 5 over 2x + 2:
This expression is not equivalent to -3x + 6.
Therefore, the expressions that are not equivalent to 2x + 2 - 5x + 7 - 3 are:
1) 2x + 11 - 5x
3) 3x - 6
4) 2(x + 1) - 5x + 4
5) 2(x + 1) - 5 over 2x + 2
Which of the following expressions are not equivalent to the expression 2x + 2 - 5x + 7 - 3? Select all that apply.
(1 point)
2x + 11 - 5x
-3x + 6
-
3x - 6
2(x + 1)- 5x + 4
2(x + 1)- 5 over 2x + 2
Please explain
5 answers
How is 5) 2(x + 1) - 5 over 2 (5/2) x+ 2 not equivalent?
Apologies for the mistake in the explanation. Let's simplify expression 5) correctly and compare it to the original expression.
5) 2(x + 1) - 5 over 2 (5/2) x+ 2:
First, simplify the expression within the parentheses by applying the distributive property: 2x + 2.
Next, simplify the expression -5 over 2 (5/2) x+ 2:
To simplify this expression, we need to first simplify the term -5 over 2 (5/2) x. Multiplying the fractions:
-5/2 * 5/2 = -25/4. Therefore, the term simplifies to -25/4x.
Now, our expression becomes: 2x + 2 - 25/4x + 2.
To combine like terms, we add the coefficients of x:
2x - 25/4x = (8x/4) - (25/4)x = (8x - 25x)/4 = -17x/4
The expression is simplified to: -17x/4 + 2 + 2 = -17x/4 + 4
Comparing this simplified expression to the original:
-17x/4 + 4 is not equivalent to -3x + 6.
Therefore, the correct answer is:
5) 2(x + 1) - 5 over 2 (5/2) x+ 2 is not equivalent to 2x + 2 - 5x + 7 - 3.
5) 2(x + 1) - 5 over 2 (5/2) x+ 2:
First, simplify the expression within the parentheses by applying the distributive property: 2x + 2.
Next, simplify the expression -5 over 2 (5/2) x+ 2:
To simplify this expression, we need to first simplify the term -5 over 2 (5/2) x. Multiplying the fractions:
-5/2 * 5/2 = -25/4. Therefore, the term simplifies to -25/4x.
Now, our expression becomes: 2x + 2 - 25/4x + 2.
To combine like terms, we add the coefficients of x:
2x - 25/4x = (8x/4) - (25/4)x = (8x - 25x)/4 = -17x/4
The expression is simplified to: -17x/4 + 2 + 2 = -17x/4 + 4
Comparing this simplified expression to the original:
-17x/4 + 4 is not equivalent to -3x + 6.
Therefore, the correct answer is:
5) 2(x + 1) - 5 over 2 (5/2) x+ 2 is not equivalent to 2x + 2 - 5x + 7 - 3.
2(x + 1)-3 x + 2
To simplify the expression 2(x + 1) - 3x + 2, let's apply the distributive property:
2(x + 1) - 3x + 2
= 2 * x + 2 * 1 - 3x + 2
= 2x + 2 - 3x + 2
Next, let's combine like terms by adding or subtracting coefficients of the same variable:
2x + 2 - 3x + 2
= (2x - 3x) + (2 + 2)
= -x + 4
The simplified expression is -x + 4.
Therefore, the expression 2(x + 1) - 3x + 2 is not equivalent to the original expression 2x + 2 - 5x + 7 - 3.
2(x + 1) - 3x + 2
= 2 * x + 2 * 1 - 3x + 2
= 2x + 2 - 3x + 2
Next, let's combine like terms by adding or subtracting coefficients of the same variable:
2x + 2 - 3x + 2
= (2x - 3x) + (2 + 2)
= -x + 4
The simplified expression is -x + 4.
Therefore, the expression 2(x + 1) - 3x + 2 is not equivalent to the original expression 2x + 2 - 5x + 7 - 3.
1 answer