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IM: 8.4.3: Balanced Moves (Practice)

Last updated about 1 year ago

8 questions

1

1

1

1

In this hanger, the weight of the triangle is x and the weight of the square is y.

1

1

Andre and Diego were each trying to solve 2x + 6 = 3x - 8. Describe the first step they each make to the equation.

1

Question 3

3.

1

Question 5

5.

Complete the table with values for x or y that make this equation true: 3x + y = 15.

Question 6

6.

For the above problem, create a graph, plot these points, and find the slope of the line that goes through them.

Question 7

7.

Draggable item		Corresponding Item

Question 8

8.

Question 1

1.

Write an equation using x and y to represent the hanger.

Question 2

2.

If x is 6, what is y?

The result of Andre’s first step was -x + 6 = -8

Question 4

4.

The result of Diego’s first step was 6 = x - 8

Match each set of equations with the move that turned the first equation into the second.

-5x/4 = 4  to 5x = -16

Add -4x to both sides

8 - 10x = 7 + 5x to 4 - 10x = 3 + 5x

Multiply both sides by -1/4

6x + 9 = 4x -3 to 2x+9 = -3

Add -4 to both sides

12x + 4 = 20x + 24 to 3x + 1 = 5x + 6

Multiply both sides by -4

-4(5x - 7) = -18 to 5x - 7 = 4.5

Multiply both sides by 1/4

Select all the situations for which only zero or positive solutions make sense.

Measuring temperature in degrees Celsius at an Arctic outpost each day in January.

The height of a candle as it burns over an hour.

The elevation above sea level of a hiker descending into a canyon.

The number of students remaining in school after 6:00 p.m.

A bank account balance over a year.

The temperature in degrees Fahrenheit of an oven used on a hot summer day.