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

Last updated 11 months ago

9 questions

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

Last updated 11 months ago

9 questions

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?

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?

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

Draggable item		Corresponding 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.

Solve each of these equations.

3(x-5)=6

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

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

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

4x-5=2-x

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?

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?

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

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

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?

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?

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

Solve each of these equations. 3(x-5)=6

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

Solve each of these equations. (Please keep your answer as a fraction)4x-5=2-x

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?

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?

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.

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?

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?

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

Solve each of these equations. 3(x-5)=6

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

Solve each of these equations. (Please keep your answer as a fraction)4x-5=2-x

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?

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?

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.

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?

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?

Solve each of these equations.

3(x-5)=6

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

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

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

4x-5=2-x

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?

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?

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.

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?

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?

Solve each of these equations.

3(x-5)=6

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

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

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

4x-5=2-x

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?

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?

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.