Systems of Equations and Inequalities

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

Solve the system of equations by elimination.
 $-x\ +\ y\ =\ -13$  
 $-8x\ -\ 4y\ =\ -8$  

• (5, 8)

• (5, -8)

• (-5, -18)

• (-5, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450
• 3x + 2y = 450
  2x + 4y = 315
• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.HSA.CED.A.3

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.

• c + s = 6
  14c + 17s = 99
• c + s = 99
  14c + 17s = 6
• c + s = 6
  17c + 14s = 99
• c + s = 99
  17c + 14s = 6

Tags

CCSS.HSA.CED.A.3

Consider the linear inequality $y<2x+3$ . Which is true? 

• The line would be solid with shading above.

• The line would be dashed with shading above.

• The line would be solid with shading below.

• None of these.

Tags

CCSS.HSA.REI.D.12

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2

Tags

CCSS.HSA.REI.D.12

Which point is a solution?

• (0, 7)

• (-3, 3)

• (1, 0)

• (-4, 2)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3