Provide an appropriate response.Write a system of equations that would be more easily solved using the substitution method than the elimination method. Explain why substitution would be easier than elimination.
What will be an ideal response?
Answers may vary.
3x + 2y = 4,
x = 3y + 5
Substitution is easier to use then the elimination method since the second equation has a variable alone on one side. Thus a solution using substitution would require fewer steps than a solution using the elimination method.
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Provide an appropriate response.
Another student investigated a four-sided figure that looked like a parallelogram, but one pair of opposite sides was not parallel. She tried a different construction than the triangle in an attempt to create a parallelogram. She found that by flipping a copy of the original figure she made a large parallelogram. Which conclusion will correctly determine the area of the original shape?
A. The area of the original figure can be found by taking twice the sum of the top and bottom and multiplying the result by the height of the original figure. B. The area of the original figure can be found by taking the sum of the top and bottom and multiplying the result by the height of the original figure. C. The area of the original figure cannot be determined with this analysis. D. The area of the original figure can be found by taking half the sum of the top and bottom and multiplying the result by the height of the original figure.
Graph the inequality. +
> 1
A.
B.
C.
D.
Find the distance between the pair of points.(7, 6) and (-4, -1)
A.
B.
C. 1
D. 77
Which equation matches the given calculator-generated graph and description? Decide without using your calculator.Parabola; opens left
A. y = -x2 B. x = y2 C. y = x2 D. x = -y2