Math Problem Statement

y = x - 6: What is the missing number in the table?

Solution

The question involves a linear equation y=x6y = x - 6, where you need to find the missing value in the table. Let's calculate it step by step.

Table so far:

xxyy
2115
18?
159
137
115

Step 1: Use the formula y=x6y = x - 6

For x=18x = 18, substitute into the equation:

y=186=12y = 18 - 6 = 12

Thus, the missing number is 12.

Completed table:

xxyy
2115
1812
159
137
115

Would you like further details or explanations?


Here are 5 questions to expand your understanding:

  1. How can we verify the relationship y=x6y = x - 6 for all pairs in the table?
  2. What happens if we change the equation to y=x+6y = x + 6?
  3. How would you plot the points in this table on a graph?
  4. What is the slope and y-intercept of the equation y=x6y = x - 6?
  5. Can you create another similar table with a different equation?

Tip: Always substitute the known values into the equation to double-check your results!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Substitution

Formulas

y = x - 6

Theorems

-

Suitable Grade Level

Grades 6-8