Algebra 1 Chapter 6

Is (0, 0) a solution to the system?

• Yes

• No

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

• x + y = 1550
  y  = 4x

• x + y = 1550
  y = x + 4

• y - x = 1550
  y = 4x

• y = 1550 + x
  y = x + 4

Solve by using substitution method.

• (2, 7)

• (0, 1)

• (2/5, 9/5)

• (2, 5)

Solve by using elimination method.

• (3, 1)

• ( 5, -5)

• (2, 5)

• (15, 1)

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

A system has ____________ when two lines intersect at one point. 

• One solution

• No solution

• Infinitely Many Solution

A system has ____________ when two equations are exactly the same and overlap each other.

• One solution

• No solution

• Infinitely Many Solution

A system has ____________ when two equations have same slope but different y-intercept and are parallel. 

• One solution

• No solution

• Infinitely Many Solution

To find a solution by graphing is to find the point where two lines intersect.

• True

• False

What does it mean to substitute?

• to remember

• to replace or to plug in

• to get rid of or to take away

• to connect the dots