Exploring Adding and Subtracting Rational Expressions

What is the first step in solving real-world problems using systems of equations?

• Solve the system

• Write the system of equations

• Define the variables

• Interpret the solution

What method is used to solve the system of equations in the examples?

• Matrix

• Graphing

• Elimination

• Substitution

In the context of the video, what does 'elimination' involve when solving systems of equations?

• Multiplying each equation by a constant

• Substituting one equation into the other

• Graphing each equation to find the intersection point

• Removing one variable to solve for the other

What is the sum of two numbers if their difference is 18 and their sum is 32?

• 25 and 7

• 20 and 12

• 30 and 2

• 15 and 17

How do you find the second number if the first number is 13 and their sum is 24?

• Multiply 13 by 2

• Add 13 to 24

• Divide 24 by 13

• Subtract 13 from 24

If the difference between two numbers is 6 and their sum is 29, what are the numbers?

• 16 and 13

• 12 and 17

• 17.5 and 11.5

• 15 and 14

What is the cost of a box of pens if 4 boxes of pens and 3 boxes of pencils cost $22.55?

• $5.00

• $4.25

• $3.75

• $6.25

How do you determine the cost of an apple if 12 oranges and 7 apples cost $5.36?

• Use elimination method on the system of equations

• Subtract the cost of oranges from $5.36

• Divide $5.36 by 19

• Multiply the number of apples by $5.36

How is the cost of an orange determined if 8 oranges and 5 apples cost $3.68?

• By dividing $3.68 by 13

• Multiplying the number of oranges by their cost

• Using the elimination method on the system of equations

• Subtracting the cost of apples from $3.68

What is the cost of a small candle if two large candles and five small candles cost $30?

• $3.50

• $4.00

• $2.50

• $5.00