Algebra 1AB
Name___________________________________ ID: 1
©G e2]0J1T6C oKHuitja` LSkoAfLtkwFaVr`er bLVLhCd._ ] HAdlylj srNi[gkhCtdsI trBezsBeZrCvHebdY.
2.6 Day 2 - Absolute Value Inequalities
Date________________ Period____
Solve each inequality and graph its solution.
1) r £ 7
3)
2) 9n > 81
b
³3
7
4) 4x + 4 £ 16
5) 3v + 1 < 2
6) -6 -2r - 5 > -30
5 + 8x
<2
7
8) -1 + 8x - 1 ³ 56
7)
Solve each equation.
9) k + 2 = 3
10)
-2x + 2
=1
5
Solve each compound inequality and graph its solution.
11) n + 6 > 14 or
n
< -1
9
12) -8 + p £ 1 and -5 p < 25
Solve each inequality and sketch the corresponding number line.
13) -40 ³ 8(2x + 7)
14) -2n + 25 > -(-7 + n) - 7n
Worksheet by Kuta Software LLC
-1-
©O T2x0`1n6Q UK^uhtQa] TStobfjtywyaCrcer ZLiLOCg.N Z TAVlXlb wrEiugTh^tysa _rZefsReRrzvQeJdp.D P sMRaTdceU Fw]iXtDhw zIPnqfZiGnpintzeL bAnlkgEeGb`rBa_ f1d.
Solve the equation for y.
15) 14x + y = -6
16) 4x + 5 y = -20
Simplify each expression.
17) -5(6v + 10) - 7v
18) 7x 4 + 3 - 6x 2 + 8x 4 - 3x 2 + 3
Solve each inequality and graph its solution.
19) 6k - 4k + 3 £ k + 6
A) k £ 3 :
0
2
4
6
8
10
B) k ³ 3 :
0
2
4
6
8
10
0
2
4
6
8
10
0
2
4
6
8
10
C) k ³ 3 :
D) k £ 3 :
Solve each compound inequality and graph its solution.
20) 5n - 8 < -13 or 7 + 6n > 55
A) n < -1 or n > 8 :
-4
-2
0
2
4
6
8
10
12
B) No solution. :
-8
-4
0
4
8
C) n ³ -6 or n < -8 :
-12
-10
-8
-6
-4
-2
D) n > 0 :
-8
-4
0
4
8
Solve the equation for y.
21) x - 2 y = -6
A) y = x + 3
C) y = -x + 3
1
B) y = x + 3
2
D) y = 3x + 1
Worksheet by Kuta Software LLC
-2-
©W f2D0f1p6e sKFuQtRa] USRoUfLtwwxaQrmet gLYLICu.h M gAUlxlu frwikgMhetCsY IrzeOsIeDrEv[eMdB.w W gMnatdteH [wLiotjhE yIZn`fFi[nMimtIeG FALlzgYe[b[rPae C1j.