Algebraic Connections
Name: ___________________________________________
H.09 WS - Greatest Integer/ Absolute Value Functions
Graph the following functions on the grids provided:
1.
y   2 x
2.
Date: ________
y  2  x
2
2
-2
-2
Graph the following functions on the grids provided:
3.
1 
y   x
2 
4.
y
1
 x
2
2
2
-2
-2
Solve the following problems:
5. If Mateo has $14 and wants to buy stamps for $0.75 each, how many stamps can he buy? ____________
6. Alicia is making bridesmaids dresses. Each dress requires 9 yards of fabric. How many dresses can she
make with 32 yards of fabric? ______________
7. Sylvia is putting 470 pennies into rolls. Each roll holds 50 pennies. How many complete rolls will
Sylvia have? ___________
8. Tickets for the carnival rides are $1.75. If Thomas has $5, how many tickets can he buy? ___________
Evaluate the following:
Algebraic Connections: H.09 - Greatest Integer/ Absolute Value Functions
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9.  5  = ____________
 2
10.
 48 = ___________
12.
13. 17.9 = ____________
3.7 = ____________
14. INT(½) = ____________
11. 10.6 = ____________
Fill in the table and then graph each of the following functions:
15.
x
y
y  2x
-3
x
17.
y
y  x 4
-3
6
6
-2
4
-2
4
-1
2
-1
2
0
-5
0
5
-2
1
5
-2
1
-4
2
-5
-4
2
-6
-6
3
16.
x
3
y  2 x
y
-3
4
-1
2
1
2
-5
x
y  x4
y
-3
6
-2
0
18.
5
-2
-2
4
-1
2
0
1
-4
2
-6
3
6
-5
5
-2
-4
-6
3
Evaluate the following:
19. 13 = ___________
22. 0.8 = ____________
25.  6 = ____________
20. 21 = ____________
23. 6 = ____________
26.  6 = ____________
21. 4.2 = ____________
24. 6 = ____________
27. 2.3 = ____________
Algebraic Connections: H.09 - Greatest Integer/ Absolute Value Functions
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