Understanding Linear Equations with Parentheses

What is the first step when you encounter a linear equation with parentheses?

• Use the distributive property to eliminate the parentheses.

• Subtract the numbers inside the parentheses.

• Divide the numbers inside the parentheses.

• Add all numbers inside the parentheses.

In the example where 2 is outside the parentheses, what is the result of distributing it to the expression (x + 5)?

• 2x + 10

• x + 10

• 2x + 5

• 2x + 5x

When solving equations with negative values, what is the result of multiplying -10 by -7?

• -17

• 70

• -70

• 7

How do you isolate x in the equation -90x = 630?

• Subtract 90 from both sides.

• Divide both sides by -90.

• Multiply both sides by -90.

• Add 90 to both sides.

What is the result of distributing 4/5 to the expression (x + 4)?

• 4x + 4/5

• 4/5x + 4

• 4/5x + 16/5

• 4x + 16/5

How do you simplify the equation 4/5x + 16/5 = 3 by eliminating the fractions?

• Multiply both sides by 5.

• Subtract 5 from both sides.

• Divide both sides by 5.

• Add 5 to both sides.

In a complex equation, what is the result of combining like terms 9x and -5x?

• 14x

• 4x

• -4x

• 0

What is the next step after distributing in the equation 5(3 - x) + 9x = 11?

• Subtract 5 from both sides.

• Combine like terms.

• Add 5 to both sides.

• Divide by 5.

In the challenging equation, what is the result of distributing -1 to the expression (2x + 15)?

• -2x - 15

• 2x - 15

• 2x + 15

• -2x + 15

What should you do if you doubt your solution to a complex equation?

• Ask a friend for help.

• Redo the entire problem.

• Plug the solution back into the equation.

• Ignore the doubt and move on.