Math / Algebra

QuestionWhich of the following expressions has a coefficient of 10 and a constant of 5 ? $10 x+5$ $10+5$ $10+5 x$ $10-5$

Studdy Solution

STEP 1

What is this asking? Which expression has a 10 multiplying the $x$ and a 5 hanging out on its own? Watch out! Don't mix up the coefficient and the constant!
The coefficient is the number multiplied by the variable, and the constant is the number added or subtracted.

STEP 2

1. Understand the terms
2. Analyze each expression

STEP 3

A coefficient is a number that multiplies a variable.
For example, in $10x$ , the coefficient of $x$ is 10.

STEP 4

A constant is a number that stands alone, without any variable attached.
For example, in $x + 5$ , the constant is 5.

STEP 5

Here, the coefficient of $x$ is 10, and the constant term is 5.
This looks like our winner!

STEP 6

This simplifies to $15$ , which is just a constant.
There's no variable here, so no coefficient!
This isn't what we're looking for.

STEP 7

In this expression, the coefficient of $x$ is 5, and the constant term is 10.
Close, but not quite!
We need the 10 to be the coefficient and the 5 to be the constant.

STEP 8

This simplifies to $5$ , which is just a constant.
Again, no variable, so no coefficient!
This one's out too.

STEP 9

The expression $10x + 5$ has a coefficient of 10 and a constant of 5.
So, the first expression is the correct answer!

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QuestionWhich of the following expressions has a coefficient of 10 and a constant of 5 ? $10 x+5$ $10+5$ $10+5 x$ $10-5$

Studdy Solution

STEP 1

What is this asking? Which expression has a 10 multiplying the $x$ and a 5 hanging out on its own? Watch out! Don't mix up the coefficient and the constant!
The coefficient is the number multiplied by the variable, and the constant is the number added or subtracted.

STEP 2

1. Understand the terms
2. Analyze each expression

STEP 3

A coefficient is a number that multiplies a variable.
For example, in $10x$ , the coefficient of $x$ is 10.

STEP 4

A constant is a number that stands alone, without any variable attached.
For example, in $x + 5$ , the constant is 5.

STEP 5

Here, the coefficient of $x$ is 10, and the constant term is 5.
This looks like our winner!

STEP 6

This simplifies to $15$ , which is just a constant.
There's no variable here, so no coefficient!
This isn't what we're looking for.

STEP 7

In this expression, the coefficient of $x$ is 5, and the constant term is 10.
Close, but not quite!
We need the 10 to be the coefficient and the 5 to be the constant.

STEP 8

This simplifies to $5$ , which is just a constant.
Again, no variable, so no coefficient!
This one's out too.

STEP 9

The expression $10x + 5$ has a coefficient of 10 and a constant of 5.
So, the first expression is the correct answer!

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QuestionWhich of the following expressions has a coefficient of 10 and a constant of 5 ? 10x+510 x+510x+5 10+510+510+5 10+5x10+5 x10+5x 10−510-510−5

Studdy Solution

STEP 1

What is this asking? Which expression has a 10 multiplying the xxx and a 5 hanging out on its own? Watch out! Don't mix up the coefficient and the constant!The coefficient is the number *multiplied* by the variable, and the constant is the number *added or subtracted*.

STEP 2

1. Understand the terms2. Analyze each expression

STEP 3

A coefficient is a number that multiplies a variable.For example, in 10x10x10x, the coefficient of xxx is **10**.

STEP 4

A constant is a number that stands alone, without any variable attached.For example, in x+5x + 5x+5, the constant is **5**.

STEP 5

Here, the coefficient of xxx is **10**, and the constant term is **5**.This looks like our winner!

STEP 6

This simplifies to 151515, which is just a constant.There's no variable here, so no coefficient!This isn't what we're looking for.

STEP 7

In this expression, the coefficient of xxx is **5**, and the constant term is **10**.Close, but not quite!We need the 10 to be the coefficient and the 5 to be the constant.

STEP 8

This simplifies to 555, which is just a constant.Again, no variable, so no coefficient!This one's out too.

STEP 9

The expression 10x+510x + 510x+5 has a coefficient of **10** and a constant of **5**.So, the first expression is the correct answer!

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionWhich of the following expressions has a coefficient of 10 and a constant of 5 ? $10 x+5$ $10+5$ $10+5 x$ $10-5$

What is this asking? Which expression has a 10 multiplying the $x$ and a 5 hanging out on its own? Watch out! Don't mix up the coefficient and the constant!
The coefficient is the number multiplied by the variable, and the constant is the number added or subtracted.

1. Understand the terms
2. Analyze each expression

A coefficient is a number that multiplies a variable.
For example, in $10x$ , the coefficient of $x$ is 10.

A constant is a number that stands alone, without any variable attached.
For example, in $x + 5$ , the constant is 5.

Here, the coefficient of $x$ is 10, and the constant term is 5.
This looks like our winner!

This simplifies to $15$ , which is just a constant.
There's no variable here, so no coefficient!
This isn't what we're looking for.

In this expression, the coefficient of $x$ is 5, and the constant term is 10.
Close, but not quite!
We need the 10 to be the coefficient and the 5 to be the constant.

This simplifies to $5$ , which is just a constant.
Again, no variable, so no coefficient!
This one's out too.

The expression $10x + 5$ has a coefficient of 10 and a constant of 5.
So, the first expression is the correct answer!