Solving Equations and Properties

The video tutorial covers solving level four linear equations, focusing on equations with variables in the denominator. It demonstrates solving three different problems, each increasing in complexity. The tutorial emphasizes techniques like multiplying both sides to eliminate denominators and using the distributive property. By the end, viewers should be able to tackle similar equations independently.

What is the first step to solve an equation where x is in the denominator?

• Subtract x from both sides

• Multiply both sides by x

• Add x to both sides

• Divide both sides by x

After multiplying both sides by x, what is the resulting equation from 3/x = 5?

• 3 = 5x

• 5 = 3x

• x = 3/5

• x = 5/3

In the equation x + 2 over x + 1 = 7, what should you multiply both sides by to eliminate the denominator?

• x + 2

• x + 1

• x

• 7

What property is used to expand 7 times (x + 1)?

• Identity Property

• Associative Property

• Commutative Property

• Distributive Property

What is the result of subtracting 7x from both sides in the equation x + 2 = 7x + 7?

• 6x + 2 = 7

• -6x + 2 = 7

• 6x = 5

• -6x = 5

In the equation 3(x + 5) = 8(x + 2), what should you do first to simplify?

• Distribute the constants

• Subtract 3 from both sides

• Multiply both sides by x

• Add 5 to both sides

What is the simplified form of 8(x + 5) over x + 2?

• 8x + 5

• 8x + 40

• 8x + 10

• 8x + 2

After canceling out x + 2, what is the equation on the left-hand side?

• 3x + 10

• 3x + 2

• 3x + 5

• 3x + 6

What is the final value of x in the equation 3(x + 5) = 8(x + 2)?

• -34/5

• 34/5

• -5/6

• 5/6

What is the reciprocal of -6 used to solve the equation -6x = 6?

• -1/6

• 1/6

• -6

• 6