Solving Equations and Inequalities

This instructional video continues the discussion on solving equations from the Big Ideas Algebra One book. It reviews one-step equations and introduces two-step and multi-step equations. The video explains how to use inverse operations to isolate variables and solve equations, emphasizing the importance of the order of operations. It provides numerous examples, demonstrating how to handle fractions, distribute terms, and combine like terms. The video concludes with a challenging word problem that requires translating words into equations.

What is the primary goal when solving an equation?

• To find the value of the variable

• To simplify the equation

• To eliminate all numbers

• To make both sides equal zero

How do you eliminate a fraction in an equation?

• Divide by the fraction

• Subtract the fraction from both sides

• Multiply by the reciprocal of the fraction

• Add the fraction to both sides

In the order of operations, which should be undone first when solving equations?

• Addition and subtraction

• Parentheses

• Exponents

• Multiplication and division

When solving the equation 6x + 8 = 50, what is the first step?

• Subtract 8 from both sides

• Add 8 to both sides

• Divide both sides by 6

• Multiply both sides by 6

What is the result of solving 2x - 5 = 11 after adding 5 to both sides?

• 2x = 6

• 2x = 16

• x = 8

• x = 3

What is the first step in solving multi-step equations?

• Distribute if needed

• Divide by the coefficient

• Combine like terms

• Add or subtract constants

In the equation 9x + 1 - 7x - 5 = -20, what should be done after combining like terms?

• Add 5 to both sides

• Divide by 2

• Add 4 to both sides

• Subtract 1 from both sides

What is the result of distributing -5 in the equation 4m - 5(3m + 10) = 126?

• -15m - 50

• -15m + 50

• 15m - 50

• 15m + 50

How do you solve the equation 10x - 6(2x + 5) = 20 after distribution?

• Add 30 to both sides

• Subtract 30 from both sides

• Multiply by 2

• Divide by 2

What is the final step in solving the equation 5(2x - 3) - (x + 8) = 13?

• Divide by 9

• Multiply by 9

• Subtract 23 from both sides

• Add 23 to both sides