Problem 1 :
When 3 times of an unknown number is increased by 12, it results 34.
Problem 2 :
7 less than 6 times of an unknown number is 25.
Problem 3 :
3 less than the quotient of a number and 7 is 6.
Problem 4 :
How many cookies are left in a box of 58 cookies after you have eaten some?
Problem 5 :
The fare for hiring a taxi is a $5 fixed charge and $2 per mile. If the fare for a trip of m miles is $75, write a linear equation that could be used to find the value of m.
Problem 6 :
Joe is selling cookies where each box of cookies costs $3.25. Mr. Michael’s purchase of cookies totaled $16.25. Write a linear equation to determine how many boxes of cookies were purchased by Mr. Michael.
Problem 7 :
A music team is having a fundraiser to buy new uniforms. Concert bumper stickers cost the music team $3.00 each. The music team sells them for $5.65. Write a linear equation to determine the number of bumper stickers that must be sold for the music team to make a profit of $265?
Problem 8 :
To have a party at the sports club, you must pay $50 plus $5 per guest. Write a linear equation that relates the number of guests x to the cost of the party y.
Problem 9 :
Three years ago, you age was 2 times of your younger brother's age. Write an equation to solve for your brother’s present age in terms of your present age.
Problem 10 :
A person weighing 150 pounds walking at a rate of 2 mph burns about 4 calories/min. The same person can walk at a rate of 4.5 mph and burn about 7.3 calories/min. Write a linear equation to find the times a 150-lb person would need to walk at 2 mph and 4.5 mph in order to burn 300 calories.
1. Answer :
Let x be the unknown number.
3x + 12 = 34
2. Answer :
Let y be the unknown number.
6y - 7 = 25
3. Answer :
4. Answer :
Let x be the number of cookies eaten and y be the number of cookies are left in the box.
y = 37 - x
5. Answer :
5 + 2m = 75
6. Answer :
Let x be the number of boxes of cookies purchased by Mr. Peter.
3.25x = 16.25
7. Answer :
Let x be the number of bumper stickers purchased and sold to make a profit of $265.
5.65x - 3x = 265
8. Answer :
y = 50 + 5x
9. Answer :
Let x be the present age of mine and y be the present age of my younger brother.
y - 3 = 2(x - 3)
y = 2(x - 3) + 3
10. Answer :
Let x be the number of minutes the person walks at 2 mph and y be the number of minutes he walks at 4.5 mph in order to burn 300 calories.
Given : When he walks at 2 mph, he burns 4 calories/min and that of 7.3 calories/min at 4.5 mph.
4x + 7.3y = 300
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