Alg 1A Midterm Review for Chap 1-3

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The x-intercept is the point where the graph crosses the x-axis. To find it, set y = 0: 6x - 5(0) = 30, which simplifies to x = 5. Thus, the x-intercept is (5, 0).

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The y-intercept is the point where the graph crosses the y-axis. To find it, set x = 0: 6(0) - 5y = 30, which simplifies to y = -6. Thus, the y-intercept is (0, -6).

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To solve for w, divide both sides by 5: w = -75 / 5 = -15.

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What does it mean when variables 'disappear' in an equation and you get a FALSE statement?

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It means there is no solution to the equation, represented as ∅ or 'No Solution'.

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Subtract 3 from both sides: 5x = 20. Then divide by 5: x = 4.

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What is the definition of an x-intercept?

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The x-intercept is the point where a graph intersects the x-axis, meaning the value of y is zero.

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What is the definition of a y-intercept?

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The y-intercept is the point where a graph intersects the y-axis, meaning the value of x is zero.

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What is the process to isolate a variable in an equation?

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To isolate a variable, use inverse operations (addition, subtraction, multiplication, division) to get the variable alone on one side of the equation.

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What does it mean if an equation has infinite solutions?

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