Lesson 1.1: Solving Multi-Step Equations
Learn how to solve equations with multiple steps.
Example: Solve 3x + 5 = 14.
Solution:
1. Subtract 5: 3x = 9
2. Divide by 3: x = 3
What is the solution to 4x - 7 = 17?
Explanation:
To solve 4x - 7 = 17, follow these steps:
1. Add 7 to both sides: 4x = 24
2. Divide by 4: x = 6
The correct answer is **B) 6**.
Number Line Visualization
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Lesson 1.2: Graphing Linear Equations
Learn how to plot linear equations in slope-intercept form.
Example: Graph y = 2x + 1.
Solution:
1. Y-intercept: (0,1)
2. Use slope 2: up 2, right 1
What is the y-intercept of y = -3x + 4?
How to get the right answer:
The equation is y = mx + b, where b = 4.
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Lesson 1.3: Slope and Rate of Change
Understand how to find the slope of a line.
Example: Find the slope between (2,3) and (5,9).
Solution:
m = (9-3)/(5-2) = 2
What is the slope between (1,4) and (3,10)?
Solution:
Use the slope formula: m = (y2 - y1) / (x2 - x1)
Substituting values: m = (10 - 4) / (3 - 1) = 6 / 2 = 3
The correct answer is C) 3.
Which shape has a constant slope?
Explanation:
A line has a constant slope because its rate of change remains the same throughout.
Other shapes like circles and parabolas have changing slopes at different points.
The correct answer is D) Line.
Shapes Related to Slope
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