Unit 4: Graphing Equations

Unit Rate

100

What is the unit rate for 12 eggs at $6 ?

What is $.50?

200

How many miles can a car go on one gallon of gas, if it goes 80 miles on 4 gallons of gas?

20 miles

300

Compare unit rate if one lb of apples is $3 and  5 lbs. is $12.50. Which is the better Deal?

5 lbs

400

Compare unit rate if an equation of a line is  y = 5x + 6  and on a table the change in y values, compared to the change in x values is 3 to 1.  Which has the greater unit rate: the equation or the table?

The equation

500

A graphed line has an equation y = -3/2x + 4.  What is the unit rate change for every one unit change on the x-axis?

What is -1 1/2?

y= mx + b

100

What is the y-intercept in the equation: y = 3/4x -12 ?

(0, -12)

200

What is the slope in the equation: y = 4/5x -3 ?

4/5

300

What is the slope of a line that is parallel to the line y = 2/3x -2?  

2/3

400

Re-write the equation in slope intercept form:   2y + x  = 12

y = -1/2x + 6

500

Provide an equation that would result in one solution when graphed on the same system as y = 6x  + 8

Any equation with a slope other than 6.

Proportions

100

Rewrite the proportion 4:6 in a different format

What is 4 to 6, or 4/6 (2/3)?

200

Solve for x in the proportion 3/4 = x/ 12

9

300

Does the equation y = 3/2x  + 5 equal a proportional relationship?

Yes

400

Using similar triangles to find slope of a linear equation, how do the ratios 4/5 and 8/10 compare?  

They are equal

500

Describe what makes a proportion. Give an example.

Two ratios equal to each other. Ex 1/2 = 8/16, etc.

Graphing Equations

100

Which axis on the coordinate system is the y axis? Vertical or Horizontal?

Vertical

200

What is the y-intercept of the equation:  y = -1/2x + 8

(0,8)

300

What is the slope of the equation: y = -1/2x + 8

-1/2

400

Does rise over run refer to Change in y/Change in x or Change in x/Change in y?

Change in y/Change in x

500

What is the equation of a line passing through the points (0,2) and (3, 4)?  

y = 2/3x  + 2

Types of Solutions

100

Two graphed equations with one solution do what on a coordinate system?

Cross at one point

200

Two graphed equations that never touch on a coordinate system have what type of solution(s)?

No Solution

300

Two equations with the same slope and same y-intercept have how many solutions?

Infinite

400

How many solutions will two graphed lines have if they have opposite slopes?

One Solution

500

How many solutions do parallel lines have?

No solution