Exploring Adding and Subtracting Rational Expressions

The video tutorial introduces systems of equations, explaining three methods to solve them: substitution, elimination, and graphing. It emphasizes using Desmos for solving these problems, especially during tests. The tutorial walks through solving word problems involving sums and differences of numbers, and applies these concepts to real-world scenarios like calculating costs and coin values. The video encourages using both algebraic methods and Desmos for verification.

What are the three methods to solve systems of equations?

• Substitution, Division, Graphing

• Integration, Differentiation, Graphing

• Addition, Subtraction, Multiplication

• Substitution, Elimination, Graphing

Which online tool is recommended for solving systems of equations in this lesson?

• Desmos

• GeoGebra

• Khan Academy

• WolframAlpha

In the first example problem, what is the sum of the two numbers?

• 30

• 42

• 21

• 12

In the first example problem, what is the value of X?

• 30

• 9

• 21

• 12

In the second example problem, what is the difference between the two numbers?

• 24

• 11

• 13

• 2

In the second example problem, what is the value of Y?

• 26

• 24

• 13

• 11

In the complex example problem, what is the sum of the two numbers?

• 40

• 80

• 16

• 20

In the complex example problem, what is the value of X?

• 4

• 16

• 40

• 20

In the real-world problem involving envelopes and paper, what is the cost of three boxes of envelopes and four boxes of paper?

• $13.25

• $17.00

• $20.00

• $24.90

In the coin problem, how many nickels are there if the total number of coins is 42?

• 14

• 49

• 28

• 42