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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 $m$ minus 7
1. $3(m-7)$
2. $3 xx m-7$
3. $3-m$
4. $3 xx m7$
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 $9$ and $x$ is $5$"?
1. $9=x-5$
2. $9=5-x$
3. $9-x=5$
4. $x-9=5$
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 $1/2.$

19.
Write the expression: Half of a number $n$, 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 $y$ to the number of cars $x$ you wash.

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