Solving Equations: A Comprehensive Review

The video tutorial reviews solving equations, starting with a visual approach to understand known and unknown values. It then translates this understanding into algebraic expressions and demonstrates solving equations using inverse operations. The tutorial concludes with simplifying equations using the distributive property and combining like terms.

In the visual example, how many coins are there in each pouch if there are 10 coins on one side and 4 coins plus 3 pouches on the other side?

• 1

• 2

• 3

• 4

What does the variable 'x' represent in the equation 3x + 4 = 10?

• The number of pouches

• The number of coins on one side

• The total number of coins

• The number of coins in each pouch

If 4x + 2 = 18, what is the value of x?

• 2

• 3

• 4

• 5

In the equation 5x - 9 = 81, what is the first step to isolate x?

• Multiply both sides by 9

• Divide both sides by 5

• Add 9 to both sides

• Subtract 5 from both sides

What is the value of x in the equation 5x - 9 = 81?

• 15

• 16

• 17

• 18

In the equation 6 - 7x = -43, what should be done first to isolate x?

• Multiply both sides by 6

• Divide both sides by 7

• Subtract 6 from both sides

• Add 7 to both sides

What is the value of x in the equation 6 - 7x = -43?

• 9

• 8

• 7

• 6

In the equation 10(x - 4) = -70, what property is used to simplify the left side?

• Commutative Property

• Identity Property

• Distributive Property

• Associative Property

What is the value of x in the equation 10(x - 4) = -70?

• -6

• -5

• -4

• -3

In the equation -2x + 5x = -31, what is the final value of x?

• 31

• 15.5

• -15.5

• -31