Study your flashcards anywhere!
Download the official Cram app for free >
 Shuffle
Toggle OnToggle Off
 Alphabetize
Toggle OnToggle Off
 Front First
Toggle OnToggle Off
 Both Sides
Toggle OnToggle Off
 Read
Toggle OnToggle Off
How to study your flashcards.
Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key
Up/Down arrow keys: Flip the card between the front and back.down keyup key
H key: Show hint (3rd side).h key
A key: Read text to speech.a key
16 Cards in this Set
 Front
 Back
Show your work to determine if the ordered pair is a solution of the system of linear equations.
(2 , 4) 4x + y = 4 x  y = 1 
4(2) + 4 = 4 yes
(2)  (4) = 1 no No it is not a solution 

Graph and check to solve the linear system. Show graph and clearly state your answer.
y = 2x  4 x + 2y = 2 
Solution = (2,0)


You bought 121 gallon bottles of apple and orange juice for a school dance. The apple juice was on sale for $1.00/ bottle. The orange juice was on sale for $1.50/bottle. You spent $15.00. 1) Label variables 2) write algebraic model 3) solve  clearly identify how much of each type of juice you purchased.

1) x = gallons of apple juice; y = gallons of orange juice
2) x + y = 12; 1.00x + 1.50y = 15.00 3) 6 apple juice bottles and 6 orange juice bottles 

Solve for y (i.e., y = ) : 2x + 4y = 8

y = 1/2x + 4


Show how to use the substitution method to solve the linear system: x  y = 10 and 5x  y = 6

x = y + 10
5(y+10)  y = 6 4y + 50 = 6 4y = 56 x = 4; y = 14 

Remember units

x = 3 cm
y = 11 cm 

Show how to use the linear combination method to solve the system of linear equations. 5x = 4y  30 and 2x + 3y = 12

5x  4y = 30 and 2x + 3y = 12
10x  8y = 60 10x  15y = 60 y = 0, x = 6 

How much of a 7% acid solution should be mixed with how much of a 15% acid solution so that you obtain 20 gallons of a 12% acid solution? Remember to clearly identify your solution or define your variables.

7.5 gallons of the 7% acid solution
12.5 gallons of the 15% acid solution 

How many solutions does this system of equations appear to have?

zero solutions


How many solutions does this system of equations appear to have?

one solution


How many solutions does this system of equations appear to have?

infinite solutions


No calculator. Solve the linear system and tell how many solutions the system has. 8x + 8y = 6 and 3x  3y = 8

No Solutions


No calculator. Solve the linear system and tell how many solutions the system has. 6x  4y = 6 and 3x + 2y = 1

one solution (1/3, 1)


No calculator. Solve the linear system and tell how many solutions the system has. 3x  2y = 5 and 6y = 9x + 15

Infinite solutions


Graph the system of linear inequalities. 2x + y < 4, 3x + y < 3 and y > 4



Write the linear inequalities for the system.

y > x + 1 (solid line should have dash under inequality)
y < 1/4x + 3 