Check If (X,Y) Satisfies The Equation Worksheet

6 problems

Check if (x,y) satisfies the equation is about seeing if a given point (x,y) fits into a certain equation. We do this by putting the values of x and y into the equation and seeing if both sides match. If they do, the point works in the equation; if not, it doesn't. This helps us confirm solutions, draw graphs correctly, and understand how numbers relate in math problems.

Algebra 1
Linear Relationship

How Will This Worksheet on "Check If (x,y) Satisfies the Equation" Benefit Your Student's Learning?

• Enhances understanding of how to apply mathematical concepts in problem-solving situations.
• Reinforces accuracy by providing a method to double-check solutions.
• Improves graphing skills by ensuring plotted points align with the equation.
• Deepens comprehension of relationships between variables in equations.
• Builds confidence in tackling more complex mathematical proble...
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Solved Example

Q. Is $(0, 3)$ a solution to the equation $y = 6x$?$\newline$Choices:$\newline$(A)yes$\newline$(B)no
Solution:
1. Understand Solution Criteria: Understand what it means for a point to be a solution to an equation.$\newline$A point is a solution to an equation if, when the $x$ and $y$ values of the point are substituted into the equation, the equation is satisfied (both sides are equal).
2. Substitute Values: Substitute the $x$ and $y$ values of the point $(0, 3)$ into the equation $y = 6x$.$\newline$Substitute $x = 0$ and $y = 3$ into the equation to see if it holds true.$\newline$$3 = 6 \times 0$
3. Perform Multiplication: Perform the multiplication on the right side of the equation. $6 \times 0 = 0$
4. Compare Results: Compare the results of the substitution to the original equation.$\newline$After substitution and calculation, we have $3 = 0$, which is not true.
5. Determine Solution Status: Determine if the point $(0, 3)$ is a solution to the equation.$\newline$Since $3$ does not equal $0$, the point $(0, 3)$ is not a solution to the equation $y = 6x$.

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