6.4 Writing Equations in Two Variables

6.4 Writing Equations in Two Variables

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Learning Target

I can write equations in two variables and analyze the relationship between the two quantities.

Success Criteria 1

• I can determine whether an ordered pair is a solution of an equation in two variables.

• Watch the following video, then complete your notes

Multiple Choice

Tell whether the ordered pair is a solution of the equation

y=7x (2,21)

• yes

• no

Multiple Choice

Tell whether the ordered pair is a solution of the equation

y=5x+1 (3,16)

• yes

• no

Multiple Choice

Tell whether the ordered pair is a solution of the equation

y=3x (3,6)

• yes

• no

Multiple Choice

Tell whether the ordered pair is a solution of the equation

y=2x + 1 (2,5)

• yes

• no

Success Criteria 2

• I can distinguish between independent and dependent variables

• Watch the following video, then complete your notes

Multiple Choice

The equation y=10x+25 represents the amount y (in dollars) in your savings account after x weeks.

Is X the independent or dependent variable?

• Independent

• Dependent

Fill in the Blanks

The equation y=10x+25 represents the amount y (in dollars) in your savings account after x weeks. How much is in your savings account after 8 weeks?

Multiple Choice

The equation y=16-2x represents the amount y (in ounces) of trail mix remaining after you eat x servings.

Is y the independent or dependent variable?

• independent

• dependent

Fill in the Blanks

The equation y=16-2x represents the amount y (in ounces) of trail mix remaining after you eat x servings. How much of the trail mix remains after you eat 6 servings?

Success Criteria 3

• I can write and graph an equation in two variables

• Watch the following video, then complete your notes

Fill in the Blanks

When graphing the equation y=3x. If x=4 what is y?

Fill in the Blanks

When graphing the equation y=4x + 1. If x is 2, y = ?

Fill in the Blanks

$y=\frac{1}{2}x+2$  When graphing the equation.  If x equals 10, y = ?

Fill in the Blanks

When graphing the equation y=3x +1. If y=10 what does x equal?

Success Criteria 4

• I can create equations in two variables to solve real-life problems

• Watch the following videos, then complete your notes

Fill in the Blanks

A teenager burns 100 calories in yoga class. The teen then walks on an incline treadmill and burns 5 calories for every minute. How many calories does she burn in all if she walks for 20 minutes?

Fill in the Blanks

A bus averages 60 miles per hour between two cities. Write an equation that represents the relationship between the time and the distance traveled. How long does it take the bus to travel 210 miles?