Understanding One-Step Equations

The video tutorial explains how to solve one-step equations by isolating the variable. It covers two examples: the first involves solving an equation with division, and the second involves solving an equation with multiplication by a fraction. Each solution is verified by substituting the value back into the original equation to ensure correctness.

What is the first step in solving the equation negative nine-fourths equals x divided by 16?

• Divide both sides by 16

• Subtract 16 from both sides

• Add 16 to both sides

• Multiply both sides by 16

After multiplying both sides of the equation by 16, what is the simplified form of the right side?

• x divided by 16

• 16x

• x

• 16 divided by x

What is the solution to the equation negative nine-fourths equals x divided by 16?

• x = 9

• x = 36

• x = -36

• x = -9

How do you verify the solution x = -36 for the first equation?

• By dividing both sides by 36

• By adding 36 to both sides

• By multiplying both sides by 36

• By substituting x = -36 into the original equation

What common factor do 36 and 16 share when simplifying the fraction in the first equation?

• 3

• 8

• 4

• 2

What is the reciprocal of negative three halves?

• Negative three halves

• Three halves

• Two-thirds

• Negative two-thirds

What operation is used to isolate x in the second equation?

• Divide both sides by negative three halves

• Add negative two-thirds to both sides

• Multiply both sides by negative two-thirds

• Multiply both sides by negative three halves

What is the solution to the equation negative seven-eighths equals negative three halves x?

• x = seven eighths

• x = negative seven twelfths

• x = negative seven eighths

• x = seven twelfths

How do you verify the solution x = seven twelfths for the second equation?

• By substituting x = seven twelfths into the original equation

• By multiplying both sides by seven twelfths

• By adding seven twelfths to both sides

• By dividing both sides by seven twelfths

What is the result of multiplying negative one by negative seven in the second equation?

• Negative fourteen

• Zero

• Negative seven

• Positive seven