Solving Linear Equations and Operations

The video tutorial explains how to solve the equation 1.25(4x - 10) = 7.5. It covers methods using a calculator and without one, including converting decimals to fractions and using alternative decimal methods. The solution involves distributing, simplifying, and solving for x, resulting in x = 4.

What is the initial equation that needs to be solved?

• 3 times 2x minus 8 equals 12

• 2 times 5x minus 15 equals 10

• 1.5 times 3x minus 5 equals 6.5

• 1.25 times 4x minus 10 equals 7.5

What is the purpose of distributing in the equation?

• To complicate the equation

• To solve the equation directly

• To change the equation

• To simplify the equation

What is the simplified form of the equation using a calculator?

• 3x minus 9

• 6x minus 15

• 4x minus 10

• 5x minus 12.5

How can 1.25 be expressed as a fraction?

• 9/5

• 7/4

• 3/2

• 5/4

What is the first step in solving the equation without a calculator?

• Convert 1.25 to a fraction

• Add 10 to both sides

• Multiply both sides by 4

• Subtract 7.5 from both sides

What is the result of multiplying 5/4 by 4x?

• 5x

• 6x

• 7x

• 4x

What is the purpose of converting 1.25 to a fraction?

• To simplify multiplication

• To solve the equation directly

• To change the equation

• To complicate the equation

What is the result of multiplying 5/4 by -10?

• -20

• -15

• -10

• -12.5

What is the equivalent decimal of 1 plus 0.25?

• 2.0

• 1.75

• 1.5

• 1.25

What is the equivalent of 1.25 in terms of addition?

• 1 plus 0.75

• 1 plus 0.1

• 1 plus 0.25

• 1 plus 0.5