Open Up - Grade 8 - Mathematics - Unit 4 - Lesson 8

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Last updated over 2 years ago
9 Questions
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1.
Lin was looking at the equation 2x-32+4(3x-2462)=14x. She said, “I can tell right away there are no solutions, because on the left side, you will have 2x+12x and a bunch of constants, but you have just 14x on the right side.”

Do you agree with Lin?
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2.
Han was looking at the equation 6x-4+2(5x+2)=16x . He said, “I can tell right away there are no solutions, because on the left side, you will have 6x+10x and a bunch of constants, but you have just 16x on the right side.”

Do you agree with Han?
8.EE.7.a
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3.
Decide whether each equation is true for all, one, or no values of x.
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True for one value of x.
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True for no values of x.
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True for all values of x.
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4.
Solve each of these equations.

3(x-5)=6
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5.
Solve each of these equations. (Please keep your answer as a fraction)

3(x-\frac{2}{3})=0
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6.
Solve each of these equations. (Please keep your answer as a fraction)

4x-5=2-x
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7.
The points (-2,0) and (0,-6) are each on the graph of a linear equation.

 Is (2,6) also on the graph of this linear equation?
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8.
In the picture triangle A1B1C1 is an image of triangle ABC after a rotation. The center of rotation is E.
What is the length of side AB?
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9.
In the picture triangle A1B1C1 is an image of triangle ABC after a rotation. The center of rotation is E.
What is the measure of angle D1? Explain how you know.
8.EE.7.a
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