Question

Which steps can be taken to translate the phrase “the height of a tree is increased by seven inches” into an algebraic expression? Check all that apply.

Replace “the height of a tree” with a variable, x.

Replace “seven inches” with a variable, x.

Replace “increased by” with an addition symbol.

Replace “seven inches” with 7.

Replace “increased by” with a multiplication symbol.

Replace “the height of a tree” with 7.

Write the expression X + 7 .

Write the expression X x 7 .

Answer 1

Replace “the height of a tree” with a variable, x

Replace “increased by” with an addition symbol

Replace “seven inches” with the number 7.

Write the expression X + 7

Explanation:

Answer 2

Replace “the height of a tree” with a variable, x

Replace “increased by” with an addition symbol

Replace “seven inches” with the number 7.

Write the expression X + 7

Explanation:

we have the phrase

“The height of a tree is increased by seven inches”

so

Let

x------> the height of a tree

1) Replace “the height of a tree” with a variable, x

2) Replace “increased by” with an addition symbol (+)

3) Replace “seven inches” with 7.

4) Write the expression X + 7

therefore

The algebraic expression is

`X+7`