Problem 36 Evaluate each expression if \(x=... [FREE SOLUTION]

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Chapter 2: Problem 36

Evaluate each expression if $x=-3, y=8,$ and $z=-12$ $$3-x$$

Short Answer

Expert verified

The value of the expression is 6.

Step by step solution

Understand the Expression

The expression given is $3-x$. We need to substitute the value of $x$ provided into this expression to evaluate it.

Substitute the Value of x

Substitute $x = -3$ into the expression $3 - x$. This gives us $3 - (-3)$.

Simplify the Expression

Simplifying $3 - (-3)$, we notice that subtracting a negative is the same as adding the positive. Thus, $3 - (-3) = 3 + 3 = 6$.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Evaluating Expressions

Evaluating an expression means to find its numeric value once all the variables are given specific numbers. Imagine an expression like a treasure map, and the numbers are the clues you have to decode the map! For example, if you have the expression $3 - x$ and you know $x = -3$, you can determine what the expression equals by replacing, or substituting, $x$ with $-3$. This process makes evaluating expressions similar to solving a simple puzzle by finding each clue's value.

Substitution

Substitution involves swapping out variables in an expression with actual numbers, which are given or known. Each variable acts like a placeholder or a character in a play. When we substitute, we just plug in the specific values. Take the expression $3 - x$ as our example: we substitute $-3$ in place of $x$, transforming it into $3 - (-3)$. This process helps simplify the expression and allows us to proceed to solve it, just like exchanging unknowns for known quantities gives us a clearer picture of the expression's value.

Simplification

Simplification is the process of making an expression as simple as possible. Just like tidying up a messy room, you put everything in order so it's easier to understand. After substitution, you may find yourself with expressions like $3 - (-3)$. Here, you need to know that subtracting a negative is the same as adding a positive. Therefore, $3 - (-3)$ becomes $3 + 3$, which simplifies further down to $6$. Simplification is all about breaking down expressions to their most straightforward form, making the math much easier to handle!

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91影视

Evaluate each expression if \(x=-3, y=8,\) and \(z=-12\) $$3-x$$

Short Answer

Step by step solution

Understand the Expression

Substitute the Value of x

Simplify the Expression

Key Concepts

Evaluating Expressions

Substitution

Simplification

One App. One Place for Learning.

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