Algebra 2
Name___________________________________ ID: 1
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Assignment
Date________________ Period____
Sketch the solution to each system of inequalities.
1
1) y > x + 2
2
y ³ -2x - 3
3
2) y ³ - x - 2
2
y<x+3
y
-5
-4
-3
-2
y
5
5
4
4
3
3
2
2
1
1
-1
1
2
3
4
5 x
-5
-4
-3
-2
-1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
3) y £ -2x - 3
y > -2x + 3
-4
-3
-2
2
3
4
5 x
1
2
3
4
5 x
4) y £ -x - 3
y < 3x + 1
y
-5
1
y
5
5
4
4
3
3
2
2
1
1
-1
1
2
3
4
5 x
-5
-4
-3
-2
-1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
Worksheet by Kuta Software LLC
-1-
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Solve each system by Gaussian elimination.
5) 2x - 2 y = -4
-2x + 4 y = -4
6) -x + 3 y = 10
x - 3y = -5
7) 4x + 6 y = 8
x - 6 y = 17
8) -3x - 4y = -14
3x + 6 y = 18
Solve each system.
9) x + 2z = -4
-4x - y + 2z = -4
3x + y - 4z = 13
10) 4x + 2 y + z = -4
-5 y - z = -3
-5x + 5 y + z = 8
11) 4x + y - 2z = 20
-4x - y - 5z = 15
2x + y - 4z = 24
Solve the systems of equations. Justify your answer's reasonableness.
12) A store is selling apples, oranges, and
bananas. 7 oranges are $7 more than 7
apples and 9 bananas togehter. 7 oranges
are $8 cheaper 2 apples and 1 banana.
Lastly, 7 oranges are $10 more expensive
than 8 apples and 5 bananas. How
expensive are each fruit?
13) Annette, Barb, and Carlita work in a
clothing shop. One day the three had
combined sales of $1480. Annete sold
$120 more than Barb. Barb and Carlita
combined sold $280 more than Annette.
How much did each person sell?
Worksheet by Kuta Software LLC
-2-
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Answers to Assignment (ID: 1)
1)
2)
y
-4
3)
y
y
4
4
4
2
2
2
-2
2
4
x
-4
-2
2
4
x
-4
-2
2
-2
-2
-2
-4
-4
-4
4)
5) (-6, -4)
y
4
x
6) No solution
4
2
-4
-2
2
4
x
-2
-4
7) (5, -2)
11) (3, -2, -5)
8) (2, 2)
12) Apples: $3
Oranges: $2
Bananas: Free
9) No unique solution
10) (-1, 1, -2)
These answers are reasonable.
13) Annete: 600
Barb: 480
Carlita: 400
These answers are reasonable.
Worksheet by Kuta Software LLC
-3-
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