Algebra Class Test Preparation

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Questions and Answers

What is the slope of a horizontal line?

  • Positive
  • Negative
  • Zero (correct)
  • Undefined

Parallel lines have slopes that are negative reciprocals of each other.

False (B)

What is the slope of a line that passes through the points (1, 2) and (3, 6)?

2

The equation y = mx + b is known as the ______ form of a linear equation.

<p>slope-intercept</p> Signup and view all the answers

Match the following equations with their corresponding forms:

<p>y = 2x + 3 = Slope-intercept form 2x + 3y = 5 = Standard form y - 1 = 3(x - 2) = Point-slope form</p> Signup and view all the answers

Which of the following equations represents a line with a slope of -2 and a y-intercept of 3?

<p>y = -2x + 3 (D)</p> Signup and view all the answers

The equation of a line in ______ form is y = mx + b.

<p>slope-intercept</p> Signup and view all the answers

The slope of the line represented by the equation x = 4 is 0.

<p>False (B)</p> Signup and view all the answers

Flashcards

Equation of a Line

Mathematical representation of a straight line on a graph.

Slope Formula

Calculates the slope of a line using rise over run (m = (y2-y1)/(x2-x1)).

Graphing Simple Lines

Plotting lines like y = x and y = -x on a graph.

Standard Form to Slope-Intercept

Rewrite a linear equation from Ax + By = C to y = mx + b.

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Solving Systems by Graphing

Finding intersection points of lines on a graph to solve equations.

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Types of Slopes

Includes positive, negative, zero, and undefined slopes.

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Parallel Lines

Lines that have the same slope and never intersect.

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Perpendicular Lines

Lines that intersect at right angles; slopes are negative reciprocals.

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Solutions to Linear Systems

Can have one solution, no solution, or infinite solutions based on slopes.

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Study Notes

Upcoming Test Topics

  • Students will have a test on Monday
  • The test will consist of three sections
    • Section 1: Multiple Choice (expect 1 SAT style question, no more than 10 questions)
    • Section 2: Matching equations/systems to their graphs (6 questions)
    • Section 3: Structured questions (3 questions)
      • Question 1: Equation of a line
      • Question 2: Graphing simple lines (x=constant, y=constant); ensure axes are scaled correctly
      • Question 3: Graphing lines to solve systems

Skills to Know

  • Give the equation of a line in point-slope and slope-intercept form
  • Rewrite a linear equation from one form to another (e.g., standard to slope-intercept)
  • Calculate the slope of a line using the slope formula and "rise over run"
  • Give the equation of a line given a graph (linear and non-linear)
  • Solve systems of equations (linear and non-linear) by graphing
  • Create a system of equations to solve a non-linear system given a graph
  • Graph a line given its equation in point-slope, slope-intercept, or standard form

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