Simplifying Expressions and Solving Equations

The video tutorial guides eighth graders through solving equations using the distributive property. It covers six problems, each demonstrating different aspects of equation solving, such as handling negative coefficients and fractions. The tutorial emphasizes simplifying equations and finding the value of X, with a focus on combining like terms and isolating variables. The teacher provides step-by-step instructions and encourages students to reach out with questions.

What is the first step in solving equations using the distributive property?

• Combining like terms

• Adding variables

• Subtracting constants

• Applying the distributive property

In the first example, what is the result of 3 times 1/3?

• 9

• 1/3

• 3

• 1

How do you handle a negative coefficient when solving equations?

• Multiply both sides by -1

• Add the same value to both sides

• Divide both sides by the coefficient

• Subtract the same value from both sides

What is the result of combining 7x and 8x in the second example?

• 15x

• 1x

• 56x

• 0x

In the third example, what is the simplified form of -12/22?

• -1/2

• -6/11

• -12/11

• -3/11

What does it mean if an equation has no solutions?

• The equation is incorrect

• There is no value for x that satisfies the equation

• The equation has infinite solutions

• The equation is unsolvable

In the fourth example, what is the common denominator used for 1/2 and 1/4?

• 4

• 2

• 8

• 1

What is the final value of x in the last example?

• 2

• 0

• 1

• -1

How do you simplify the expression 8 times 1/4?

• 4

• 2

• 1/2

• 8

What is the result of subtracting 72 from 56 in the final example?

• 0

• -16

• 16

• -72