Podcast
Questions and Answers
Is the equation y=2x-1 a linear equation? If so, write it in standard form.
Is the equation y=2x-1 a linear equation? If so, write it in standard form.
Yes, Ax + By = C form is 2x - y = 1.
What is the y-intercept from the equation 3x - 2y = -6?
What is the y-intercept from the equation 3x - 2y = -6?
(0, 3)
How far does a car travel in 7 hours at a rate of 58 miles per hour?
How far does a car travel in 7 hours at a rate of 58 miles per hour?
406 miles
What are the x and y intercepts of the equation 3x - y = 3?
What are the x and y intercepts of the equation 3x - y = 3?
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What is the zero of the equation 3x - 45 = 0?
What is the zero of the equation 3x - 45 = 0?
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What is the slope of the points (5, 8) and (-4, 6)?
What is the slope of the points (5, 8) and (-4, 6)?
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What is the slope of the points (9, 4) and (5, -3)?
What is the slope of the points (9, 4) and (5, -3)?
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What is the value of r in the points (3, 2) and (r, -4) with m = 3/2?
What is the value of r in the points (3, 2) and (r, -4) with m = 3/2?
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Is the function given by the points (0, 1), (-2, -1), and (-4, 1) linear?
Is the function given by the points (0, 1), (-2, -1), and (-4, 1) linear?
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What is the annual rate of change in the number of students in the Delaware High School band from 2004 to 2010?
What is the annual rate of change in the number of students in the Delaware High School band from 2004 to 2010?
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Study Notes
Linear Equations
- Equation form: Ax + By = C; confirms the representation of linear equations.
- Example conversion: y = 2x - 1 is a linear equation; standard form representation is 2x - y = 1.
y-Intercept
- Determining the y-intercept from the equation 3x - 2y = -6 leads to finding the point (0, 3).
Distance and Rate
- A car traveling at 58 miles per hour for 7 hours can be estimated to cover 406 miles, derived from the equation d = 58t.
Intercepts
- For the equation 3x - y = 3, the x-intercept is (15, 0) and the y-intercept is (0, -3).
Solving Equations
- Finding the zero of the equation 3x - 45 = 0 results in the root being (15, 0).
Slope Calculation
- The slope between points (5, 8) and (-4, 6) is computed to be 2/9.
- For points (9, 4) and (5, -3), the slope is calculated as 7/4.
Unknown Variable
- Given points (3, 2) and (r, -4) with a slope of 3/2, the value of r is determined to be -1.
Linear Function Test
- A given set of points shows a non-linear relationship, as plotted coordinates (0, 1), (-2, -1), and (-4, 1) do not form a straight line.
Rate of Change
- From 2004 to 2010, the Delaware High School band increased from 275 to 305 students, calculating as an increase of 5 students per year.
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Description
Test your knowledge with these flashcards from Algebra 1 Chapter 3. This mid chapter review covers concepts such as linear equations, y-intercepts, and distance formulas. Perfect for students looking to reinforce their understanding of essential algebraic principles!
