Linear Equations with Two Variables

What linear equation represents the relationship between weeks, w and days, d?

• d = w + 7

• d = 7w

• w = 7d

• w = d - 7

Which of the following points are solutions to the equation?

• (0,2) and (-1,-1)

• (2,0) and (-1,-1)

• (2,6) and (6,2)

Which of the following points are solutions to the equation?

• (2,1) and (0,-4)

• (1,2) and (4,0)

• (2,1) and (0,4)

• (1,2) and (0,4)

Which system of equations does NOT have the same solution as the system below?

• One Solution

• No Solution

• Infinite Solutions

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12

• 12 + 8t = 1500

• 1500 + 8t = 12t

• 8t = 12t + 1500

Lizzy has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Which system of equations models this situation?

How do we know if a system of equations has no solution?

• The lines are not in slope-intercept form (y=mx+b)

• The lines have the same slope and y-intercept

• The lines are perpendicular

• The lines are parallel