Systems of Equations & Inequalities

Front

Which of the following is not a method to solve systems? Options: Elimination, Difference of Squares, Substitution, Graphing

Back

Difference of Squares

Front

Solve for x in the equation: x - 2y = 11

Back

Add 2y

Front

4x - 2y = 7

x + 2y = 3

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

Back

x in the second equation

Front

4x+8y=20

-4x+2y=-30

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

Options: graphing, linear programming, substitution, elimination

Back

elimination

Front

3x + 2y = 16

7x + y = 19

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

Back

y in the second equation

Front

2x − 3y = −1

y = x − 1

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

Options: substitution, elimination

Back

substitution

Front

Solve using elimination:

6x - 4y = 28

2x + 2y = 6

Back

x = 4, y = -1

Front

Caitlin has 49 bills totaling $1,430, consisting of $20 and $50 bills. Write a system where T = # of $20 and F = # of $50.

Back

T + F = 49
20T + 50F = 1430

Front

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week. Which inequality represents the situation?

Back

x + y ≤ 8

Front

Sarah's purse-making time: 2 hours for small purses, 3 hours for big purses, max 18 hours/week. Which inequality represents this?

Back

2x + 3y ≤ 18