# Writing Algebraic Expressions and Equations (Grade 9)

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## Writing Algebraic Expressions and Equations

**Instructions:**
Write the expression or equation in algebraic form.

1.

3 times the quantity [math]m[/math] minus 7

- [math]3(m-7)[/math]
- [math]3 xx m-7[/math]
- [math]3-m[/math]
- [math]3 xx m7[/math]

2.

What is an algebraic expression for "3 less than the product of 2 and a number x"?

- 2x - 3
- (3 - 2)x
- 3 - 2x
- 2 - 3x

3.

two times a number plus 9

- 2+5n
- 2n+9
- 29+n
- 9n+2

4.

7 less than the product of 12 and a number

- 12 + n - 7
- 7 - 12 + n
- 7 - 12n
- 12n - 7

5.

x minus twenty divided by two times x

- x - 20/2x
- 2x/x - 20
- 20 - x/2x
- 2x/20 - x

6.

Which equation represents the sentence, "The difference of [math]9[/math] and [math]x[/math] is [math]5[/math]"?

- [math]9=x-5[/math]
- [math]9=5-x[/math]
- [math]9-x=5[/math]
- [math]x-9=5[/math]

7.

The product of two numbers is 25.

- x + y = 25
- x - y = 25
- xy = 25
- x/y = 25

8.

7 divided by a number equals 14.

- 7/14 = n
- 14/7 = n
- 7/n = 14
- n/7 = 14

9.

The cost of a shirt is $11.99. When Ian pays for the shirt plus tax with a 20-dollar bill, he receives $7.30 in change. Which equation represents this situation if t is the tax on the shirt?

- 11.99 + t = 20.00 - 7.30
- t - 11.99 = 20.00 - 7.30
- 11.99t = 20.00 - 7.30
- 20.00 - 11.99t = 7.30

10.

An apartment complex charges $460 per month in rent plus a $200 annual maintenance fee. Write an equation representing the year's cost (C) for (m) months of rent.

- C = 200m + 460
- C = 460m - 200
- C = 460m + 200
- C= 200m - 460

11.

Write the expression: Four miles less than three times the original distance (d).

12.

Write the expression:

the value in cents of x quarters

the value in cents of x quarters

13.

Write an expression for the following.

12 more than a number.

12 more than a number.

14.

Write an expression:

six times the difference of a number and 9.

six times the difference of a number and 9.

15.

Write an expression to describe 8 times x plus 3.

16.

Translate the phrase to an algebraic expression, use the letter x and/or y for the variable.

Three times some number plus eleven

Three times some number plus eleven

17.

Liza picked M mangoes. Bernad picked 75 fewer mangoes than Liza. Write an expression that shows how many mangoes Bernad picked.

18.

Write an equation for the statement. Let x represent the variable.

Two multiplied by some number is [math]1/2.[/math]

Two multiplied by some number is [math]1/2.[/math]

19.

Write the expression: Half of a number [math]n[/math], decreased by 5.

20.

You start a car washing service. You spend $20 on supplies. You plan on charging $5 to wash each car.

Write an equation to relate your income [math]y[/math] to the number of cars [math]x[/math] you wash.

Write an equation to relate your income [math]y[/math] to the number of cars [math]x[/math] you wash.

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