Question 88091: HOw can I Translate the following statements into inequalities.
and use x to represent the number
1. 2 times a number, increased by 28, is less than or equal to 6 times that number.
2.Sam must have an average of 70 or more in his summer course to obtain a grade of C. His first three test grades were 75, 63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Translate the following statements into inequalities.
and use x to represent the number
1. 2 times a number, increased by 28, is less than or equal to 6 times that number.
Do it like this:
" 2 times a number"; 2x
"increased by 28": 2x + 28
"is less than or equal to 6 time that number": = <= 6x
We have:
2x + 28 <= 6x
:
:
2.Sam must have an average of 70 or more in his summer course to obtain a grade of C. His first three test grades were 75, 63, and 68. Write an inequality representing the score that Sam must get on the last test to get a C grade.
:
Let the 4th grade which is unknown = x: Write an average equation:
 => 70
:
 => 70
:
Simplify, get rid of the denominator, mult both sides by 4
x + 206 => 4(70)
x + 206 => 280
x => 280 - 206
x => 74
:
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