Algebra - Lesson on Calculating Rate of Change/Slope

Algebra - Lesson on Calculating Rate of Change/Slope

Multiple Choice

Solve for x.

 $12x-15=6x+9$  

• x = 4

• x = -4

• x = 2

• x = -2

Multiple Choice

Solve for x.

 $8x-8=-4x+16$  

• x = 8

• x = 16

• x = 24

• x = 2

Multiple Choice

What is the 1st step in solving for y?

• Subtract B from each side.

• Divide each side by Ax.

• Divide each side by B.

• Subtract Ax from each side.

Multiple Choice

What is the 2nd step in solving for y?

• Subtract B from each side.

• Divide each side by Ax.

• Divide each side by B.

• Subtract Ax from each side.

Multiple Choice

which line has the greater rate of change

• Blue

• Red

• they are the same

Multiple Choice

which line has the greater rate of change

• Blue

• Red

• they are the same

Multiple Choice

If bank Account 1 represents an account which is gaining money, what most likely does Bank Account 2 represent?

• It also gains money

• It loses money

• It neither gains or loses money

Both accounts are gaining money. But how do we calculate how much money each account is gaining every month?

In other words we want to compare the amount of money to the months. Remember, a rate is a comparison.

When we calculate the rate we are really calculating how steep a line is. This calculated steepness is called SLOPE.

The slope of Bank Account 2 is:

 $\ \frac{200\ dollars}{month}$  

What is the speed of the car?

Multiple Choice

What is the speed of the car shown in the graph?

• $\frac{10mi}{hr}$

• $\frac{20mi}{hr}$

• $\frac{30mi}{hr}$

• $\frac{40mi}{hr}$

Multiple Choice

Find the slope

• $-\frac{5}{3}$

• $-\frac{3}{5}$
  

• $\frac{5}{3}$
  

• $\frac{3}{5}$

Multiple Choice

Which graph represents a car which is travelling at 15 miles per hour?

Multiple Choice

What is the slope of the below?

A bank account gains $100 every 2 months.

• 100

• 50

• 25

• 1

Multiple Choice

What is the slope of the below?

A bank account loses $100 every month.

• $-100$

• $100$
  

• $-50$

• $50$
  

Multiple Choice

Which of the below would have a slope of 25?

• A car travelling 100 miles every 4 hours.

• A car travelling 50 miles every 4 hours.

Multiple Choice

Which graph represents a bank account gaining $100 each month and had a starting balance of $100?

Multiple Choice

Which line has a negative slope?

• Yellow
• Red
• Blue
• Green

Multiple Choice

Find the slope of the line.

• $\frac{3}{4}$

• $-\frac{3}{5}$

• $\frac{5}{3}$

• $-\frac{4}{3}$