Solving Equations with Like Terms

The video tutorial covers solving equations with like terms, starting with a review of basic equation-solving steps. It introduces the concept of combining like terms and provides multiple examples, including equations with fraction and decimal coefficients. The tutorial also includes real-world applications, such as calculating the perimeter of a rectangle and solving cost-related problems. Each example is broken down step-by-step to demonstrate the process of simplifying expressions and solving equations.

What is the first step in solving an equation with like terms?

• Add or subtract to remove the constant

• Multiply or divide to remove the coefficient

• Combine like terms on the same side of the equal sign

• Move terms to the other side of the equal sign

In the equation 6x + 2 - 2x = 8, what do you get after combining like terms?

• 4x + 2

• 8x + 2

• 4x - 2

• 6x - 2x

After simplifying 2x - 9x, what is the resulting term?

• -7x

• 11x

• -11x

• 7x

What is the solution to the equation -7x = 59.5?

• 7.5

• 8.5

• -7.5

• -8.5

In the equation 1/4x + 10 - 1 = 32, what is the first step after combining like terms?

• Multiply by the reciprocal

• Divide by 4

• Subtract 9 from both sides

• Add 9 to both sides

What is the value of x in the equation 1/4x = 23?

• 92

• 11.5

• 46

• 23

What is the simplified form of 8.75x - 0.75x?

• 7x

• 9.5x

• 8x

• 8.5x

In the problem involving the perimeter of a rectangle, what is the value of x if the perimeter is 22?

• 4

• 2

• 3

• 1

If Maria spent $62 on supplies, including $12 on ribbon and fabric costing four times the thread, what is the cost of the thread?

• $8

• $10

• $12

• $14

Ryan's sundae costs twice as much as an ice cream cone. If the total cost for the order is $8.50, what is the price of the ice cream cone?

• $2.50

• $3.00

• $2.00

• $1.50