In the graph shown, which ordered pair does NOT represent a solution to the graph?
A) (1, 7)
B) (0, 4)
C) (2, –2)
D) (3, –5)

The steps Kalee used to solve the equation –4x + 9 = 2x – 12x + 51 and the properties she used to justify each step are shown. Find and identify each error. Note: There are errors in both the mathematical work and the justifications.

Create your own equation and explain, using complete sentences, how you would solve it. Make sure you include the properties of operations and/or the properties of equality that justify each step in your explanation

Question

alien1234567890 alien1234567890

10-10-2017
Mathematics

contestada

In the graph shown, which ordered pair does NOT represent a solution to the graph?
A) (1, 7)
B) (0, 4)
C) (2, –2)
D) (3, –5)

The steps Kalee used to solve the equation –4x + 9 = 2x – 12x + 51 and the properties she used to justify each step are shown. Find and identify each error. Note: There are errors in both the mathematical work and the justifications.

Create your own equation and explain, using complete sentences, how you would solve it. Make sure you include the properties of operations and/or the properties of equality that justify each step in your explanation

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mreijepatmat mreijepatmat · Answer 1 · 2017-10-10T02:48:35+02:00

mreijepatmat mreijepatmat

10-10-2017

A) (1, 7) Doesn't
B) (0, 4) Doesn't
C) (2, –2) Doesn't
D) (3, –5) DOES

All the steps are right at the exception of line 7 (and onwards)

line 6 : 6x = 42 (it's right). Now divide both sides by 6:

line 7 should be: 6x/6 = 42/6
line 8 should be: x = 7.

Answer Link

jimthompson5910 jimthompson5910 · Answer 2 · 2017-10-10T03:04:00+02:00

Problem 1)

Check out the attached image "figure 1". The graph of the line is shown in red. The red line is the equation y = -3x+4. The answer choices A through D are shown as blue points. Only point A = (1,7) is not on the red line. So point A is not a solution to the equation.

Answer: Choice A) (1,7)

=============================================

Problem 2)

First error is in step 3, specifically the "additive inverse" portion. It should be "additive property of equality" since we're adding 10x to both sides.

The second error is the reasoning in step 5. Instead of "symmetric property" it should be "subtraction property of equality".

The third error is all of line 7. We are not multiplying both sides by 6. Instead we divide both sides by 6. The reasoning should be "division property of equality"

Finally, the last error is the first column on line 8. The final answer should be x = 7 (since 42 divided by 6 = 7)

See the image attachment "figure 2" for the visual summary of the table, and what needs to be fixed.

=============================================

Problem 3)

The equation I have come up with is 8x-4+2x = 3x-11

The steps to solve it are shown in the image attachment labeled "figure 3"