1. The perimeter of a rectangular lot is 200 feet. The length is 10 feet more than twice the width. Find the dimensions of a rectangular lot. 2. The first typist can finish the whole chapter in 5 hours. While the second typist can do the same job in 8 hours. How long will it take them to finish the job if they will work together? 3. The product of nine and x is greater than six more than the product of three and x. 4. The sum of three times a number and 4 is greater than negative 8.
Share
Verified answer
Problems Involving Algebraic Expressions
In solving problems involving algebraic expressions, identify the important details. This includes the given facts, what is asked, operation to be use, and number sentence. Solve the problem carefully. Check the answer obtained by reversing the process. Simplify the answer when needed.
Answers:
Solutions:
1. Asked: The dimensions of the rectangular lot.
Given: P - 200 feet
x - width
2x + 10 - length
Operations: multiplication, addition
Number Sentence: P = 2l + 2w
Solution: P = 2l + 2w
200 = 2(2x + 10) + 2(x)
200 = 4x + 20 + 2x
200 - 20 = 4x + 2x
180 = 6x
=
30 = x
Answer: width - 30 feet
2(30) + 10 = 60 + 10 = 70 feet - length
2. Asked: The length of time that the first typist and second typist can do
the job together.
Given: 5 hours - length of time the first typist can do the job
8 hours - length of time the second typist can do the job
Operations: addition, division
Number Sentence: N =
Solution: N =
N =
Answer: N = 6 hours
3. Asked: The possible value for x.
Given: 9x > 6 + 3x
Operations: addition, division
Number Sentence: 9x > 6 + 3x
Solution: 9x > 6 + 3x
9x - 3x > 6
6x > 6
>
Answer: x > 1
4. Asked: The possible value for x.
Given: 3x + 4 > - 8
Operations: addition, division
Number Sentence: 3x + 4 > - 8
Solution: 3x + 4 > - 8
3x > -8 - 4
3x > -12
>
Answer: x > -4
How to solve problems involving algebraic expressions: brainly.ph/question/9427191
#BrainlyEveryday