Introduction to Simultaneous Linear Equations – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

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Do you need help? Watch the Video Lesson for this Practice Problem.

After this lesson, you will be able to analyze and solve simultaneous linear equations.

The lesson begins by teaching you that a linear equation only has variables raised to the first power. It leads you to learn that simultaneous linear equations can be graphed in on one Cartesian plane. It concludes by showing you that the intersection of the graph of two simultaneous linear equations determines their common solution.

Learn about simultaneous linear equations by helping Thomas and Dieter calculate their monthly sales.

This video includes key concepts, notation, and vocabulary such as linear equation (equation with only variables raised to the first power); simultaneous equations (equations which happen at the same time and can be graphed on the same Cartesian plane); simultaneous solution (a solution to simultaneous equations); and coordinate plane (a plane formed by horizontal and vertical lines called the x- and y-axis).

Before watching this video, you should already be familiar with substitution, point-plotting, and graphing and writing linear equations using variables.

After watching this video, you will be prepared to learn how to solve systems of linear equations algebraically, find solutions by graphing equations, and solve real-world and mathematical problems that use two linear equations in two variables.

Common Core Standard(s) in focus: 8.EE.C.8
A video intended for math students in the 8th grade
Recommended for students who are 13-14 years old

Go to Video Lesson
Exercises in this Practice Problem
Pair the graphs of the simultaneous linear equations with their intersection point.
Determine the intersection point given a table and equation.
Identify the graphs of the simultaneous equations.
Find the intersection point of the lines.
Use the table to graph points and the line.
Determine if the two linear equations intersect or not.