Question

Answer quick 100 points
Which phrase describes the algebraic expression Three-fourths x + 2?
three-fourths of a number plus two
the quotient of four-thirds and two
the product of three-fourths and two
the difference between three-fourths of a number and two

Answer 1

Answer:

A) three-fourths of a number plus two

Step-by-step explanation:

To find out what the answer is, we first need to translate the sentence into numbers, which will give us:

$\frac{3}{4}$x+2

We can see that we are multiplying an unknown number, x, by three fourths, so we know that we are taking three-fourths of a number, and we also know that we are then adding two. We are not dividing or subtracting, so we know it can't be  B or D. We also know that we are multiplying three-fourths by x, not two so we know that it can't be C. So our only option is A, So the correct answer is:

A) three-fourths of a number plus two

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Answer 2

Answer:

Three-fourths of a number plus two

Step-by-step explanation:

The value "x" is  used in algebra to mean a value that is not yet known.

Remember the algebraic expression is: 3/4x + 2

Lets break each possible answer down,

1. The quotient of four-thirds and two is:  4/3 ÷ 2

2. The product of three-fourths and two is:  3/4 * 2

3. The difference between three-fourths of a number and two is:

3/4x - 2

None of these expressions match 3/4x + 2, which brings us to the last answer.

4. Three-fourths of a number plus two is:  3/4x + 2

Notice, "x" is represented as "of a number", since the value is unknown.

Therefore, your answer is A, three-fourths of a number plus two.