Solve a system of equations by graphing word problems

Learning Objectives Identify two different scenarios or 'rules' within a consumer math word problem. Create a table of coordinate pairs (x, y) for each scenario based on the given rules. Accurately plot coordinate pairs on a coordinate plane. Draw lines or connect points on a graph to represent the patterns of each scenario. Locate the point where the two lines cross (the intersection point). Interpret the meaning of the intersection point in the context of the consumer math word problem. Solve simple consumer math word problems by using graphing to compare two situations. Ever wonder when two different ways of saving money or two different shopping deals become exactly the same? 💰🤔 In this lesson, we'll learn a super cool way to compare two different sit...

TermDefinitionExample Coordinate PlaneA flat surface with two number lines (x-axis and y-axis) that cross each other, used for plotting points.Imagine a city map where streets go left-right (x) and up-down (y) to find exact locations. Coordinate Pair (Ordered Pair)Two numbers, like (3, 5), that tell you the exact location of a point on a coordinate plane. The first number is for the x-axis, and the second is for the y-axis.If (3, 5) means '3 steps right, 5 steps up' from the starting point (0,0). GraphingThe process of plotting points and drawing lines or curves on a coordinate plane to show relationships between numbers.Plotting points like (1, 2), (2, 4), (3, 6) to show how much money you save each day. Pattern/RuleA consistent way that numbers change in a problem, which helps...

Rule 1: Plotting Coordinate Pairs ` (x, y) ` means move ` x ` units horizontally (right for positive, left for negative) from the origin, then ` y ` units vertically (up for positive, down for negative). Always start at (0,0). The first number tells you how far to go left or right, and the second number tells you how far to go up or down. Rule 2: Creating a Table of Values from a Word Problem Identify the changing quantities in the problem. Choose one for the x-axis (often time or number of items) and one for the y-axis (often cost or amount). Use the problem's 'rule' to find y for different x values. For each scenario, pick a few easy numbers for your x-value (like 0, 1, 2, 3, 4) and use the information in the problem to figure out the matching y-value. This...