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

Last updated 9 months ago
9 questions
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?

1

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?

1

Decide whether each equation is true for all, one, or no values of x.

Draggable itemCorresponding Item
6x-4=-4+6x
True for one value of x.
4x-6=4x+3
True for no values of x.
6x-4=-4+6x
True for all values of x.
1

Solve each of these equations.

3(x-5)=6

1

Solve each of these equations. (Please keep your answer as a fraction)

3(x-\frac{2}{3})=0

1

Solve each of these equations. (Please keep your answer as a fraction)

4x-5=2-x

1

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?

1

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?

1

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.

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