Math Problem Statement

Evaluate 14−4x* and simplify completely when

a) x=9*

Answer

Preview

​b) x=−9*

Solution

Let's evaluate the expression 144x14 - 4x for both cases:

a) When x=9x = 9:

Substitute x=9x = 9 into the expression:

144(9)=1436=2214 - 4(9) = 14 - 36 = -22

So, the value of 144x14 - 4x when x=9x = 9 is 22-22.

b) When x=9x = -9:

Substitute x=9x = -9 into the expression:

144(9)=14+36=5014 - 4(-9) = 14 + 36 = 50

So, the value of 144x14 - 4x when x=9x = -9 is 50.


Let me know if you'd like more explanation or if you have any other questions! Here's a few related questions:

  1. How would the expression change if we had 14+4x14 + 4x instead of 144x14 - 4x?
  2. What would happen if the expression involved a division by xx?
  3. Can you simplify the expression 144x14 - 4x further if xx is any number?
  4. How do you graph the expression 144x14 - 4x as a straight line?
  5. What would the expression look like if xx were replaced with 2x2x?

Tip: Always double-check that the value you're substituting for xx is correctly placed into the expression to avoid errors during evaluation!

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Math Problem Analysis

Mathematical Concepts

Algebra
Substitution
Linear Expressions

Formulas

Expression evaluation: f(x) = 14 - 4x

Theorems

Basic arithmetic operations
Properties of negative numbers

Suitable Grade Level

Grades 6-8