Solving Linear Equations and Operations

The video tutorial explains how to solve linear equations by isolating variables. It covers three examples: solving for Y, A, and X. The first example demonstrates combining like terms to isolate Y. The second example uses the distributive property to solve for A. The third example involves solving for X in an equation with fractions, emphasizing the importance of balancing equations and simplifying fractions.

What is the first step in solving the equation 8y + 7 = 12y - 9?

• Subtract 7 from both sides

• Combine like terms

• Add 9 to both sides

• Multiply both sides by 2

After moving 8y to the right side, what is the resulting equation?

• 4y + 7 = -9

• 4y = 7 - 9

• 4y - 7 = 9

• 4y + 7 = 9

What operation is used to isolate y in the equation 16 = 4y?

• Addition

• Subtraction

• Multiplication

• Division

What is the value of y in the equation 8y + 7 = 12y - 9?

• 2

• 5

• 3

• 4

What property is used first to simplify the equation 2a + 3(4 - a) = -6?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

What is the result of distributing 3 in the equation 2a + 3(4 - a)?

• 2a + 12 - 3a

• 2a + 12 + 3a

• 2a - 12 + 3a

• 2a - 12 - 3a

What is the simplified form of the equation after combining like terms in 2a + 12 - 3a = -6?

• -a - 12 = -6

• a + 12 = -6

• -a + 12 = -6

• a - 12 = -6

What is the value of a in the equation 2a + 3(4 - a) = -6?

• 16

• 18

• 20

• 22

What is the first step in solving the equation 16x - 1/3 = 10/12x + 1?

• Divide both sides by 2

• Multiply both sides by 3

• Add 1/3 to both sides

• Subtract 1 from both sides

What is the result of combining -1/3 and 1 on the right side of the equation?

• 2/3

• 1 and 1/3

• 2 and 1/3

• 1/3