QuestionFind the equivalent expression for $(5 x+2)+(4 x-3)$ . Choices: A. $6 x+2$ , B. $7 x+1$ , C. $9 x-1$ , D. $11 x-3$ , E. $20 x-6$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $(5 x+)+(4 x-3)$ . We need to find an equivalent expression from the given options

STEP 2

To find an equivalent expression, we first need to simplify the given expression. We can do this by combining like terms.

STEP 3

The like terms in the given expression are $5x$ and $x$ , and $2$ and $-3$ . We can combine these like terms by adding them together.
$Equivalent\, expression = (5x +x) + (2 -3)$

STEP 4

Now, calculate the values for the expressions $(x +4x)$ and $(2 -3)$ .
$Equivalent\, expression =9x -1$

STEP 5

Now, we compare the simplified expression $9x -1$ with the given options.
The equivalent expression to $(5 x+2)+(4 x-3)$ is $9 x-1$ which matches with option C.
So, the correct answer is option C $9 x-1$ .

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QuestionFind the equivalent expression for $(5 x+2)+(4 x-3)$ . Choices: A. $6 x+2$ , B. $7 x+1$ , C. $9 x-1$ , D. $11 x-3$ , E. $20 x-6$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $(5 x+)+(4 x-3)$ . We need to find an equivalent expression from the given options

STEP 2

To find an equivalent expression, we first need to simplify the given expression. We can do this by combining like terms.

STEP 3

The like terms in the given expression are $5x$ and $x$ , and $2$ and $-3$ . We can combine these like terms by adding them together.
$Equivalent\, expression = (5x +x) + (2 -3)$

STEP 4

Now, calculate the values for the expressions $(x +4x)$ and $(2 -3)$ .
$Equivalent\, expression =9x -1$

STEP 5

Now, we compare the simplified expression $9x -1$ with the given options.
The equivalent expression to $(5 x+2)+(4 x-3)$ is $9 x-1$ which matches with option C.
So, the correct answer is option C $9 x-1$ .

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QuestionFind the equivalent expression for (5x+2)+(4x−3)(5 x+2)+(4 x-3)(5x+2)+(4x−3). Choices: A. 6x+26 x+26x+2, B. 7x+17 x+17x+1, C. 9x−19 x-19x−1, D. 11x−311 x-311x−3, E. 20x−620 x-620x−6.

Studdy Solution

STEP 1

Assumptions1. The given expression is (5x+)+(4x−3)(5 x+)+(4 x-3)(5x+)+(4x−3). We need to find an equivalent expression from the given options

STEP 2

To find an equivalent expression, we first need to simplify the given expression. We can do this by combining like terms.

STEP 3

The like terms in the given expression are 5x5x5x and xxx, and 222 and −3-3−3. We can combine these like terms by adding them together.Equivalent expression=(5x+x)+(2−3)Equivalent\, expression = (5x +x) + (2 -3)Equivalentexpression=(5x+x)+(2−3)

STEP 4

Now, calculate the values for the expressions (x+4x)(x +4x)(x+4x) and (2−3)(2 -3)(2−3).Equivalent expression=9x−1Equivalent\, expression =9x -1Equivalentexpression=9x−1

STEP 5

Now, we compare the simplified expression 9x−19x -19x−1 with the given options.The equivalent expression to (5x+2)+(4x−3)(5 x+2)+(4 x-3)(5x+2)+(4x−3) is 9x−19 x-19x−1 which matches with option C.So, the correct answer is option C 9x−19 x-19x−1.

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QuestionFind the equivalent expression for $(5 x+2)+(4 x-3)$ . Choices: A. $6 x+2$ , B. $7 x+1$ , C. $9 x-1$ , D. $11 x-3$ , E. $20 x-6$ .

Assumptions1. The given expression is $(5 x+)+(4 x-3)$ . We need to find an equivalent expression from the given options

The like terms in the given expression are $5x$ and $x$ , and $2$ and $-3$ . We can combine these like terms by adding them together.
$Equivalent\, expression = (5x +x) + (2 -3)$

Now, calculate the values for the expressions $(x +4x)$ and $(2 -3)$ .
$Equivalent\, expression =9x -1$

Now, we compare the simplified expression $9x -1$ with the given options.
The equivalent expression to $(5 x+2)+(4 x-3)$ is $9 x-1$ which matches with option C.
So, the correct answer is option C $9 x-1$ .