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Writing Algebraic Expressions and Equations (Grade 8)

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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
  1. [math]3(m-7)[/math]
  2. [math]3 xx m-7[/math]
  3. [math]3-m[/math]
  4. [math]3 xx m7[/math]
2. 
What is an algebraic expression for "3 less than the product of 2 and a number x"?
  1. 2x - 3
  2. (3 - 2)x
  3. 3 - 2x
  4. 2 - 3x
3. 
two times a number plus 9
  1. 2+5n
  2. 2n+9
  3. 29+n
  4. 9n+2
4. 
7 less than the product of 12 and a number
  1. 12 + n - 7
  2. 7 - 12 + n
  3. 7 - 12n
  4. 12n - 7
5. 
x minus twenty divided by two times x
  1. x - 20/2x
  2. 2x/x - 20
  3. 20 - x/2x
  4. 2x/20 - x
6. 
Which equation represents the sentence, "The difference of [math]9[/math] and [math]x[/math] is [math]5[/math]"?
  1. [math]9=x-5[/math]
  2. [math]9=5-x[/math]
  3. [math]9-x=5[/math]
  4. [math]x-9=5[/math]
7. 
The product of two numbers is 25.
  1. x + y = 25
  2. x - y = 25
  3. xy = 25
  4. x/y = 25
8. 
7 divided by a number equals 14.
  1. 7/14 = n
  2. 14/7 = n
  3. 7/n = 14
  4. 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?
  1. 11.99 + t = 20.00 - 7.30
  2. t - 11.99 = 20.00 - 7.30
  3. 11.99t = 20.00 - 7.30
  4. 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.
  1. C = 200m + 460
  2. C = 460m - 200
  3. C = 460m + 200
  4. 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



13. 
Write an expression for the following.

12 more than a number.



14. 
Write an expression:

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



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]



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.



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