For the following story problems: 1st) Define the variable(s) – there will be either 1 or 2 variables 2nd) Write an equation or system of equations 3rd ) Solve and answer the questions using the correct units A 550 in. board is cut into 3 pieces. One piece is 10 inch shorter than the middle piece while another piece is three times as long as the middle piece. How long is each piece?
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.
For the following story problems:
1st) Define the variable(s) – there will be either 1 or 2 variables
2nd) Write an equation or system of equations
3rd ) Solve and answer the questions using the correct units
A 550 in. board is cut into 3 pieces. One piece is 10 inch shorter than the middle piece while another piece is three times as long as the middle piece. How long is each piece?
Given:
A 550 in. board is cut into 3 pieces. One piece is 10 inch shorter than the middle piece while another piece is three times as long as the middle piece.
A board is cut into 3 pieces
Suppose x is length of shorter piece,
y is length of middle piece and
z is length of long piece.
length of board is 550 inch
Therefore we get,
x + y + z = 550
One piece is 10 inch shorter than the middle piece
Therefore we get,
x = y - 10
another piece is three times as long as the middle piece
Therefore we get,
z = 3 y
Step by step
Solved in 5 steps
