Combining Like Terms to Solve Equations Answers

Mrs. McAlister wrote the equation on the board and asked students to write an equivalent equation. The table below shows the responses from four students.Student ResponsesNameEquationMichelePiotrRonnieTanishaWhich student wrote an equation that is equivalent to Mrs. McAlister’s?

Which expression is equivalent to ?

Melisande collected 14 bottles on Saturday and 9 bottles on Sunday for recycling. On Monday, she took all the bottles to the recycling center, where they paid her a certain amount, b, for each bottle. However, she had to pay the recycling center a one-time service fee of $0.25. If she left there with $3.20 for the bottles, what is the value of b?

What is the value of k in the equation below?

Which expression is equivalent to ?

Julissa gave out an equal number of oranges to each of the 6 apartments on her floor. If she gave each apartment 5 oranges, how many oranges did Julissa give out in all?

What is the value of k in the equation ?

Shau-uen solved the equation . Her work is shown below.Step 1Step 2Step 3Step 4In which step did Shau-uen make her first error?

Soo-Jung used the subtraction property of equality to solve an equation for y. Which equation could be the one that Soo-Jung solved?

Mr. Lopez wrote the equation on the board. Four students explained how to solve for g.Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.” Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.” Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is .” Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.” Which student’s work is correct?