# Translating Between Words & Algebraic Expressions (Grade 9)

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## Translating Between Words & Algebraic Expressions

1.

How would you write the following algebraic expression as a verbal expression?

[math]4x-1/4[/math]

[math]4x-1/4[/math]

- 4 increased by a number is decreased by 1/4
- product of x and 4 is decreased by one quarter
- x divided by 4 is reduced by 1/4

2.

Which of the following verbal expressions represents the algebraic expression [math]5n - 4 ?[/math]

- Four less than five times a number
- The difference between 4 and five times a number
- Four less than the sum of five and a number
- Five times a number and four

3.

Write an algebraic expression for the following verbal expression.

the sum of 200 and five times a number

the sum of 200 and five times a number

- 5n + 200
- 200n + 5
- 5n - 200
- 200n - 5

4.

Write an algebraic expression for the following verbal expression.

the sum of 150 and three times a number

the sum of 150 and three times a number

- 3n + 150
- 150n + 3
- 3n - 150
- 150n - 3

5.

Which of the following is not a way to say 2x + 2?

- twice a number plus two
- two times the sum of a number and two
- two times a number, added to two
- the sum of twice a number and two

6.

Which of the following expressions correctly interprets the following phrase?

6 less than 3 times a number, times 4 more than two times another number

6 less than 3 times a number, times 4 more than two times another number

- [math]3x-6*2y+4[/math]
- [math]6-3x-4+2y[/math]
- [math](3x-6)(2y+4)[/math]
- [math]6-3x*4y+4[/math]

7.

Which of the following correctly interprets the expression [math](5x-1)/(4y)[/math]?

- One less than five times a number divided by four times a number
- Five times a number minus one divided by four times another number
- Five times a number divided by four times another number less one
- One less than five times a number, divided by four times another number

8.

Which of the following expressions correctly interprets the following phrase?

two less than three times a number, multiplied by three less than four times another number

two less than three times a number, multiplied by three less than four times another number

- [math](3x-2)(4y-3)[/math]
- [math](3x-2)/(4y-3)[/math]
- [math](3x-3)(4y-2)[/math]
- [math](3x-3)/(4y-2)[/math]

9.

Which of the following correctly interprets the expression [math](5x)/(3y-2)[/math]?

- Five times a number divided by two less than three times another number
- Five times a number divided by 3 times another number minus two
- Five times a number divided by 3 times a number less two
- Five times a number divided by two less than three times a number

10.

Which of the following expressions correctly interprets the following phrase?

one less than two times a number, divided by three more than four times another number

one less than two times a number, divided by three more than four times another number

- [math](3-2x)/(4y-1)[/math]
- [math](2x)/(4y)-1[/math]
- [math](1-2x)/(4y+3)[/math]
- [math](2x-1)/(3+4y)[/math]

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