Linear expression has only first-order linear terms. The only expression from all the given expressions that is linear is 9x − 2.
A linear expression is an expression that can be put in the form of y=mx+c,
therefore, it has only one variable and is of the first order.
As we have discussed the linear expression, therefore, if the equation can be put in the form of y=mx+c then that expression will be a linear expression.
A.) 9x − 2
As the equation is of the first order and can be arranged as,
0 = 9x + (-2)
Thus, the expression is of the first order
B.) 3x² + 4x − 5
The expression given is not of the first order, therefore, it is not a linear expression.
C.) 5x³ + 6x² − 7x + 8
The expression given is not of the first order, therefore, it is not a linear expression.
D.) 4x⁴ − 5x³ + 6x² − 7x + 8
The expression given is not of the first order, therefore, it is not a linear expression.
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