Mai and Tyler work on the equation 2/5b + 1 = -11 together. Mai's solution is b = -25 and Tyler's is b = -28. Here is their work. Do you agree with their solutions? Explain or show your reasoning.
1 point
1
Question 2
2.
Solve 3(x - 4) = 12x
1 point
1
Question 3
3.
Describe what is being done in each step while solving the equation.
1. 2(-3x + 4) = 5x + 2
2. -6x + 8 = 5x + 2
3. 8 = 11x + 2
4. 6 = 11x
5. x = 6/11
1 point
1
Question 4
4.
Andre solved an equation, but when he checked his answer he saw his solution was incorrect. He knows he made a mistake, but he can’t find it. Where is Andre’s mistake and what is the solution to the equation?
-2(3x - 5) = 4(x + 3) + 8
-6x + 10 = 4x + 12 + 8
-6x + 10 = 4x +20
10 = -2x + 20
-10 = -2x
5 = x
1 point
1
Question 5
5.
Choose the equation that has solutions (5, 7) and (8, 13).
A length of ribbon is cut into two pieces to use in a craft project. The graph shows the length of the second piece, x, for each length of the first piece, y.
1 point
1
Question 6
6.
How long is the ribbon? Explain how you know.
1 point
1
Question 7
7.
What is the slope of the line?
1 point
1
Question 8
8.
Explain what the slope of the line represents and why it fits the story.