Systems of Equations & Inequalities

Which of the following is not a method to solve systems?

• Elimination
• Difference of Squares
• Substitution
• Graphing

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

If I were to solve for x in the second equation, what would be the only step?

-7x - 2y = (-13)

x - 2y = 11

• Add x

• Subtract 11

• Subtract 2y

• Add 2y

4x - 2y = 7

x + 2y = 3

If I had to solve using substitution, which variable should I solve for?

• y in the first equation

• y in the second equation

• x in the second equation

• x in the first equation

Tags

CCSS.HSA.REI.C.6

4x+8y=20

-4x+2y=-30

Which method would be easiest way to solve this system of equations?

• graphing

• linear programming

• substitution

• elimination

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

3x + 2y = 16

7x + y = 19

If I had to solve using substitution, which variable should I solve for?

• y in the first equation

• y in the second equation

• x in the first equation

• x in the second equation

2x − 3y = −1

y = x − 1

Which method would be the easiest to use to solve this system of equations?

• substitution

• elimination

Solve using elimination:

6x - 4y = 28

2x + 2y = 6,

• x = 1, y = 2

• x = 2, y = 1

• x = -4, y = 1

• x = 4, y = -1

Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where T= # of $20 and F = # of $50.

• T + F = 1430
  20T + 50F = 49
• T+ F = 49
  10T + 5F = 1430 
• T + F = 49
  20T + 50F  = 1430
• T + F = 49
  T + F = 1430

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.

Which inequality represents the situation?

• x + y ≤ 8

• x + y > 8

• 2x + 3y ≤ 6

• x + y ≤ 10

It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?

• 2x + 3y ≤ 18

• x + y ≤ 6

• x + y ≤ 9

• 3x + 2y ≤ 18

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3