Linear Equation Unit Review

Linear Equation Unit Review

Learning Target

• I can fluently review concepts on linear equations.

Multiple Choice

How are linear equations represented?

• y=kx

• y=mx+b

• m

• m=y+x

Multiple Choice

Which variable represents slope?

• x

• y

• m

• b

Finding the Slope of a Line

• Rate of Change

•  $m=\frac{rise}{run}$  , when using a graph

•  $m=\frac{y_2-y_1}{x_2-x_1}$  , when given two points/table

Find the Slope

• Select two sets of data.

• (8, 850) and (10, 1000)

•  $m=\frac{y_2-y_1}{x_2-x_1}$  
  

•   $\frac{1000-850}{10-8}$  

•  $\frac{150}{2}=75$  

• m = 75

Multiple Choice

Find the slope given the two points, (2, 9) and (4, 12)

• $\frac{3}{2}$

• $-\frac{3}{2}$

• $3$

• $\frac{2}{3}$

Multiple Choice

Find the slope of the data shown in the table.

• $m=\frac{1}{2}$

• $m=4$

• $m=2$

• $m=\frac{2}{4}$

Writing Linear Equations

• y = mx + b

• Identify the y-intercept

• Identify the slope, rise/run

• What is the equation for this line?

• y = 3x - 5

Multiple Choice

What is the equation for this line?

•  $y=2x+5$  

•  $y=-\frac{2}{3}x+5$  

•  $y=2x+3$  

•  $y=5x+3$  

Multiple Choice

Select the equation for the line shown.

• $y=3x+2$

• $y=2x+3$

• $y=-2x+3$

• $y=1x+3$

Interpreting Slope & Y-intercept

• Awa’s parents are saving to buy a new car for her 16th birthday. The function y = 125x + 3200 represents the relationship between the number of months her parents have been saving, x, and the amount in their account, y.

• What does the slope represent in this situation?

• What does the y-intercept represent in this situation?

Multiple Choice

Bob has $12 and he makes $5 per hour washing cars. This can be represented as y = 5x + 12. What does the slope represent?

• The number of cars washed

• The total cost of car washes

• The amount per hour he makes

• The amount he already has

Multiple Choice

Al drives a cab. He charges $4 to pick you up and $2 for each mile. He uses the equation y = 2x + 4. Explain what the VARIABLE X means in this equation.

• The price for the cab

• The number of miles

• How much he already drove

• How much he already paid