Solving Basic Algebraic Equations

Mr. Holcomb presents lesson 26 on solving one-step equations using both tape diagrams and algebraic methods. The lesson covers the use of inverse operations and order of operations to solve equations. Exercises demonstrate solving equations like B + 9 = 15 and D - 5 = 7 using both visual and algebraic approaches. The lesson emphasizes checking solutions through substitution and highlights the importance of understanding inverse operations.

What is the value of B in the equation B + 9 = 15?

• 5

• 7

• 6

• 4

Which operation should be performed first when solving an equation with an equal sign?

• Division

• Multiplication

• Subtraction

• Addition

What is the inverse operation of addition?

• Multiplication

• Division

• Subtraction

• Exponentiation

In the equation C + 8 = 12, what is the value of C?

• 2

• 3

• 4

• 5

How do you isolate a variable on one side of an equation?

• Divide both sides by the same number

• Add the same number to both sides

• Subtract the same number from both sides

• Multiply both sides by the same number

What is the value of D in the equation D - 5 = 7?

• 10

• 13

• 12

• 11

Which method is preferred for solving equations in practical applications?

• Trial and error

• Tape diagrams

• Graphical methods

• Algebraic methods

What is the value of E in the equation E + 12 = 20?

• 6

• 7

• 9

• 8

In the equation F - 10 = 15, what is the value of F?

• 35

• 30

• 25

• 20

What is the inverse operation of subtraction?

• Exponentiation

• Division

• Multiplication

• Addition