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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 |
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Graph and check to solve the linear system. Show graph and clearly state your answer.
y = -2x - 4 x + 2y = -2 |
Solution = (-2,0)
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You bought 12-1 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.
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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 |
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Solve for y (i.e., y = ) : -2x + 4y = 8
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y = 1/2x + 4
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Show how to use the substitution method to solve the linear system: x - y = 10 and 5x - y = -6
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x = y + 10
5(y+10) - y = -6 4y + 50 = -6 4y = -56 x = -4; y = -14 |
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Remember units
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x = 3 cm
y = 11 cm |
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Show how to use the linear combination method to solve the system of linear equations. 5x = 4y - 30 and 2x + 3y = -12
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5x - 4y = -30 and 2x + 3y = -12
10x - 8y = -60 -10x - 15y = 60 y = 0, x = -6 |
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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.
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7.5 gallons of the 7% acid solution
12.5 gallons of the 15% acid solution |
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How many solutions does this system of equations appear to have?
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zero solutions
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How many solutions does this system of equations appear to have?
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one solution
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How many solutions does this system of equations appear to have?
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infinite solutions
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No calculator. Solve the linear system and tell how many solutions the system has. -8x + 8y = -6 and 3x - 3y = 8
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No Solutions
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No calculator. Solve the linear system and tell how many solutions the system has. 6x - 4y = -6 and 3x + 2y = 1
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one solution (-1/3, 1)
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No calculator. Solve the linear system and tell how many solutions the system has. 3x - 2y = -5 and 6y = 9x + 15
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Infinite solutions
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Graph the system of linear inequalities. 2x + y < 4, -3x + y < 3 and y > 4
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Write the linear inequalities for the system.
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y > -x + 1 (solid line should have dash under inequality)
y < 1/4x + 3 |