B
Algebra I – Chapter 4 Test
Show all work to receive full credit. Circle your answers!
Name: __________________________________
Is each number a solution to the given inequality?
1) -3y + 4  9
a) 3
b) -2
c) -1.5
For each of the following, define a variable and write an inequality to model the situation.
2) The class can contain no more than 32 students.
3) The houses must be at least 13 feet apart.
4) The high temperature will be at least 82 degrees.
5) It will cost more than $30 to rent a car.
Write an inequality for x from each graph.
6)
7)
8)
9)
Graph each inequality.
10) x  -2
11) x < 1
12) 3  x
13)
0<x
B
Solve and graph each inequality. Show all work to receive full credit.
14) 6 – x < 4
15) –
2
a<8
3
16) 4y – 6  14
Solve each inequality. Show all work to receive full credit.
17) f  -3f + 36
18) -2(x + 4) > 6
19) 6x – 3 > –2x + 37
20) 2x – 3(3x – 4)  33
21) 5(x – 11) – 2x > -76
22) 2(d  6)  16  3d  4(d  2)
23) Diana is earning money by mowing lawns. She charges $15 per yard. Lawn mower rental costs her $20. Write and
solve an inequality to find the number of yards she must mow to make a profit of at least $40.