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Algebra · Algebra — Grade 9
Browse organized narrated video solutions. Each problem page includes the question, course, book, chapter, and related study links.
Video solutions
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Comparing Rates of Change in Linear and Non-Linear Graphs
Algebra · Algebra — Grade 9Compare the rates of change of the two relationships below over the intervals $x = 1$ to $x = 2$ and $x = 3$ to $x = 4$. - **Relationship A (linear):** $y = 4x$ - **Relationship B (non-linear):** $y = x^2$ For each rel…
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Comparing Rates of Change in Linear and Non-Linear Graphs
Algebra · Algebra — Grade 9Compare the rates of change in a linear graph and a non-linear graph using two real-life situations: **Situation A (Linear):** A person walks at a steady pace. Points: $(0, 0),\ (1, 3),\ (2, 6),\ (3, 9),\ (4, 12)$ **Si…
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Compare Expressions and Identify Equivalent Forms
Algebra · Algebra — Grade 9Are the following two expressions equivalent? - Expression A: $2(3x - 4) + 5x$ - Expression B: $11x - 8$
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Applying Mathematical Processes and Communicating Reasoning
Algebra · Algebra — Grade 9A school store sells notebooks for **$3.50 each** and pens for **$1.25 each**. A student spends exactly **$15.00**. The student buys **twice as many pens as notebooks**. How many of each does the student buy? Solve this …
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Solving Linear Equations
Algebra · Algebra — Grade 9**Linear Equations** — An equation whose graph is a straight line. The variable has no exponents other than 1. Core form: $ax + b = c$ Worked example: Solve for $x$: $3x + 5 = 20$
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Graphing Two Linear Equations on the Same Coordinate Plane
Algebra · Algebra — Grade 9Graph $y = 2x + 1$ and $y = -2x - 1$ on the same coordinate plane.
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Solving Quadratic Equations Using the Quadratic Formula
Algebra · Algebra — Grade 9Solve using the quadratic formula: $$9x^2 - 8x - 3 = 0$$