Solving Linear Equations: Distributive Property Answers

Which of these equations have no solution? Check all that apply.2(x + 2) + 2 = 2(x + 3) + 12x + 3(x + 5) = 5(x – 3)4(x + 3) = x + 124 – (2x + 5) = (–4x – 2)5(x + 4) – x = 4(x + 5) – 1

Use the drops-downs to justify how Heidi arrived at each step.

✔ combine like termsdistributive propertydivision property of equalitysubtraction property of equality

combine like termsdistributive propertydivision property of equality✔ subtraction property of equality

✔ addition property of equalitycombine like termsdistributive propertydivision property of equality

combine like termsdistributive property✔ division property of equalitysubtraction property of equality

⇒ 1

Question text not available

Which equation is an identity?

To babysit one child, Fernando charges $10 to drive to the appointment plus $4 per hour. He saves 30% of the total amount he earns. Brenna charges $6 per hour and saves 25% of the total amount she earns. Which equation can be used to determine the number of hours, h, after which Fernando and Brenna will have saved the same amount of money?

Which best describes Nosaira’s work and answer?

Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes StartFraction 2 Over 3 EndFraction. of her daily calories at dinner. If x represents the calories consumed at dinner, which statements describe the situation? Check all that apply.Leena consumed 1,500 calories at dinner.The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x. (x + 400 + 350) = x can be used to model the situation.Leena consumed 500 calories at dinner. The equation StartFraction 2 Over 3 EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 400 plus 300 right-parenthesis. (x) = x(400 + 300) can be used to model the situation.Leena consumed 1,000 calories at dinner. The equation StartFraction 2 Over 3 EndFraction x left-parenthesis x plus 400 plus 350 right-parenthesis equals x. x(400 + 300) = x can be used to model the situation.

Use the drops-downs to justify how Heidi arrived at each step.