• Students know that a linear equation is a statement of equality between two expressions.
• Students know that a linear equation in x is actually a question: Can you find all numbers x, if they exist, that satisfy a given equation? Students know that those numbers x that satisfy a given equation are called solutions.
Lesson 3 Summary
Equations are statements about equality. If the expression on the left side of the equal sign has the same value as the expression on the right side of the equal sign, then you have a true equation.
A solution to a linear equation in is a number, such that when all instances of are replaced with the number, the left side will equal the right side.
Here is a linear equation in x: 4 + 15x = 49. The question is, is there a number x that makes the linear expression 4 + 15x equal to the linear expression 49?
Here is a linear equation in x: 8x - 19 = -4 - 7x
Is 5 a solution to the equation?
Is 1 a solution to the equation?
Here is a linear equation in x: 3(x + 9) = 4x - 7 + 7x.
Here is a linear equation in x: -2x + 11 - 5x = 5 - 6x
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