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Comprehensive Math Homework Review: Equations, Lines, and Derivatives

This homework review covers essential mathematical concepts including solving equations with one or two variables, working with inequalities, and understanding the forms of linear and quadratic equations. Students will practice writing equations for lines and quadratics, finding derivatives, and utilizing formulas for distance and midpoint. The review also emphasizes the importance of domain and range while exploring parabolas and graph transformations. This resource is perfect for reinforcing fundamental math skills.

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Comprehensive Math Homework Review: Equations, Lines, and Derivatives

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  1. Pg. 44/56 Homework • Study!! • #58 12 ft. x 15 ft. • #59 x = 3.5 ft. • #62 2.50 in. • #72 I = 0.08A + 0.05(18,000 – A) • #73 I(x) = 0.03x + 900; Graph • #74 A = 4,000

  2. Ch. 1 Review • What does “solve” mean when you have: • An equation of 2 variables? • An equation of 1 variable? • An inequality of 2 variables? • Solve:

  3. Ch. 1 Review • Forms of Lines: • Forms of Quadratics: • Write the equation of the following: • > m = 3 (0, 5) • > (- ¼, 3), (- ¼, 7) • > The line perpendicular to y + 2 = 5(x + 7) that contains the point (-3, 2) • > Parallel to -3x + 5y = 10 and contains the y – intercept of

  4. Ch. 1 Review • The formula for “The Derivative” is: • Find “The Derivative” for: y = 3x+ 7 • The formula for distance is: • The formula for midpoint is: • Find each for:(-1, 3), (8, -7)

  5. Ch. 1 Review • Domain and Range! • Parabola tricks • Looking at the function and graph • Find the domain, range, vertex and axis of symmetry of the following parabola. Then write it in vertex form. • Given y = f(x) is the graph below, drawy = 2f(x + 1) + 2

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