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
- [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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