Algebra Unit 6 Systems of Equations and Inequalities

Determine the number of solutions for the following graph:

• One Solution

• No Solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

Determine the number of solutions for the following graph:

• One Solution

• No Solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

At what point would the following lines intersect at (use graph paper to help): y=-3x+2 y=2x-3

• (1,-1)

• (2,3)

• (-3,5)

• (2,6)

Tags

CCSS.8.EE.C.8B

At what point would the following lines intersect at (use substitution to solve): 2y=3x+12 y=5x-1

• (2,9)

• (-1,-2)

• (-10,5)

• (2,2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 9

• 100x + 25 y ≤ 200

  2x + 9y ≤ 16

• x + y ≥ 200

  9x + 25y ≤ 16

• 9x + 25y ≥ 200

  x + y ≤ 16

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

• x + y ≥ 6
  32x + 20y ≤ 150

• x + y ≥ 632
  x + 20y ≥ 150

• x + y ≤ 6
  32x + 20y ≤ 150

• x + y ≤ 6
  32x + 20y ≥ 150

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

• x + y < 10

  2x + 3y ≥ 20

• x + y ≤ 10

  2x + 3y ≥ 20

• x + y ≤ 10

  2x + 3y > 20

• x + y < 10

  2x + 3y > 20

At what point would the following lines intersect at (use elimination to solve): 4x-2y=4 2x+y=6

• (2,9)

• (-1,-2)

• (-10,5)

• (2,2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How do we solve systems of equations using graphing?

• Isolating a variable in one equation and plugging it into the other equation.

• "getting rid" of a variable in order to solve for the other variable

• Each linear equation is graphed on the same graph. The point of intersection between the two graphs is the solution.

Tags

CCSS.8.EE.C.8B

How do we solve systems of equations using Substitution?

• Isolating a variable in one equation and plugging it into the other equation.

• "getting rid" of a variable in order to solve for the other variable

• Each linear equation is graphed on the same graph. The point of intersection between the two graphs is the solution.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6