A
Algebra I – Chapter 4 Test
Name: __________________________________
Is each number a solution to the given inequality? Show all work to receive full credit.
1) -4y + 3  7
a) 3
b) -1
c) -2.5
For each of the following, define a variable and write an inequality to model the situation.
2) The high temperature will be at least 75 degrees.
3) It will cost more than $25 to rent a car.
4) The class can contain no more than 28 students.
5) The houses must be at least 10 feet apart.
Write an inequality for x from each graph.
6)
7)
8)
9)
Graph each inequality.
10) x > 4
11) x  1
12) -4 > x
13)
0 x
A
Solve and graph each inequality. Show all work to receive full credit.
14) 4 – x > 3
15) –
3
a>6
4
16) 6y – 8  10
Solve each inequality. Show all work to receive full credit.
17) f  -5f + 36
18) -3(x + 4) < 15
19) 3x – 8 < –2x + 22
20) 3x – 2(3x – 11)  16
21) 6(x – 11) – 4x < -76
22) 2(d  3)  7  3d  4(d  2)
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23) Diana is earning money by mowing lawns. She charges $15 per yard. Lawn mower rental costs $20. Write and
solve an inequality to find the number of yards she must mow to make a profit of at least $40.