Solving Linear Equations and Operations

This video tutorial covers solving one-step equations using various operations such as addition, subtraction, multiplication, and division. It explains how to isolate the variable by performing the opposite operation on both sides of the equation. The tutorial also addresses equations involving fractions and demonstrates the use of the multiplicative inverse to simplify them. The instructor provides step-by-step examples to ensure understanding of each method.

What is the first step to solve the equation x + 7 = 9?

• Divide both sides by 7

• Multiply both sides by 7

• Subtract 7 from both sides

• Add 7 to both sides

In the equation 5 + x = -3, which number should be removed to isolate x?

• 5

• -3

• 0

• x

How do you solve 5x = 75 to find the value of x?

• Subtract 5 from both sides

• Add 5 to both sides

• Multiply both sides by 5

• Divide both sides by 5

What is the result of dividing -64 by -2?

• -32

• 32

• -128

• 128

If x is divided by 4, what operation will isolate x?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

How do you solve -x/2 = 8 to get a positive x?

• Multiply both sides by 2

• Divide both sides by 2

• Divide both sides by -2

• Multiply both sides by -2

What is the reciprocal of 3/4?

• 4/3

• 1/4

• 3/4

• 1/3

To solve -1/2x = 8, what should you multiply both sides by?

• -1/2

• 1/2

• -2

• 2

What is the result of multiplying a number by its reciprocal?

• 0

• 1

• The number itself

• The reciprocal

How do you solve -5 = -2/9x to find x?

• Divide both sides by -9/2

• Divide both sides by 9/2

• Multiply both sides by -9/2

• Multiply both sides by 9/2