A 48­foot­long piece of cable wire is to be cut into three pieces so that the second piece is five times as long as the first piece and the third piece is six times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.

Q: A rectangular swimming pool is three times as long as it is wide. If the perimeter of the pool is…

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Q: The length of a certain rectangle is 10 inches greater then twice it’s width. If the length were…

A: We can solve it by assuming width of initial rectangle = x inch and proceed as follows,

Q: A figure consists of 2 rectangles. The first rectangle has a length of 8 yards and a width of 10…

A:

Q: A financial advisor has invested $5,000 in two accounts. If one account contains x dollars, express…

A: To express the amount in the second account in terms of x, the amount invested in the first account.

Q: A 21-foot rope is cut into 2 pieces. Seven less than three times the length of the longer rope piece…

A: Given that a rope is cut into 2 pieces. Here seven less than three times the length of the longer…

Q: The length of a rectangle is three times its width. If the width were increased by 2 meters while…

A:

Q: If the third of the three consecutive integers are increased by 14, it is equal to twice the first,…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.