Download Infinite Algebra 2 - Solving Inequalities and

Math 104 Homework
©l o2g0z1t6B cKDuAtWaI iS^otfEtGwAaKr[eq wL`LOCy.i F PAmlYld BrYiAgrhItEsw QrCepsVePrQvdekdL.
Solving Inequalities and Equations (SIAE)
Solve each inequality and graph its solution. Put your answer in interval notation.
1) -25 - 8a ³ 7(a + 5)
2) -20 - 3a ³ 8a + 4(-a - 5)
3) 7k - 5(k - 6) £ 22 - 2k
4) 6(a - 5) < -10 + a
5) -4x + 5(1 - x) < 7(5x + 7)
6) 2(3 + 4r) + 6 > -3(3r - 4)
7) -3(2 - 5n) £ -6(1 - 4n)
8) -8(1 + 4b) ³ 8(b - 1)
Solve each compound inequality and graph its solution. Put your answer in interval notation
9)
m
³ 1 or m + 1 < -2
2
-6 -5 -4 -3 -2 -1
0
1
10) 10 > 6 + x ³ -2
-10
2
3
4
5
2
3
4
5
6
7
8
0
1
2
3
4
-4
-2
0
2
4
6
12) m + 7 £ -3 or m + 9 > 12
9 10 11 12 13 14 15
13) 10 < 10 + m £ 19
-2 -1
-6
6
11) x - 1 < 5 or 8 + x ³ 18
1
-8
-12 -10
-8
-6
-4
-2
0
2
4
6
14) x + 8 £ -1 or 9x > 81
5
6
7
8
9
10
-12
-8
-4
0
4
8
12
Solve each equation.
15) 6a + 6 = -6(-5a + 3)
16) 6(1 + 3m) - 7 = -40 + 5m
17) -6(7 + 7x) = 3 + 3x
18) -4x + 7( x - 1) = -(7 - 8x)
19) 6(4n + 4) = 5(5n + 7)
20) p - 3 p = -8( p + 1) + 8(1 - 5 p)
Worksheet by Kuta Software LLC
©] D2\0R1[6P EKruWtJaR WStoQfHtUwDajr^eJ ALlLrCO.A B IAxlHlj UrmihgXhFtxsg QrueTsBe]rpvWeLdp.Y M fMMabdfeF yw\iJtnhZ WI_ndfYiDnMiqtKeb ^AflPgzepbUr\ao c2S.
Math 104 Homework
©k q2V0s1Q6z qKCuDtba[ dSkozf\tVwpaxrPe^ ZL]LYC^.z i `AXlolm YrLiggFhltQs[ yrseXsGesrhvCesdX.
Solving Inequalities and Equations (SIAE)
Solve each inequality and graph its solution. Put your answer in interval notation.
1) -25 - 8a ³ 7(a + 5)
2) -20 - 3a ³ 8a + 4(-a - 5)
a £ -4 :
a£0:
-8
-6
-4
-2
0
-4
3) 7k - 5(k - 6) £ 22 - 2k
-2
0
2
4
6
4
6
8
10
4) 6(a - 5) < -10 + a
k £ -2 :
a<4:
-4
-2
0
2
4
6
0
5) -4x + 5(1 - x) < 7(5x + 7)
2
6) 2(3 + 4r) + 6 > -3(3r - 4)
x > -1 :
r>0:
-6
-4
-2
0
2
-4
7) -3(2 - 5n) £ -6(1 - 4n)
-2
0
2
4
8) -8(1 + 4b) ³ 8(b - 1)
n³0:
b£0:
-6
-4
-2
0
2
4
-6
-4
-2
0
2
4
Solve each compound inequality and graph its solution. Put your answer in interval notation
9)
m
³ 1 or m + 1 < -2
2
-6 -5 -4 -3 -2 -1
0
1
10) 10 > 6 + x ³ -2
-10
2
3
4
5
6
-8
-6
-4
-2
0
2
4
6
-8 £ x < 4
m ³ 2 or m < -3
11) x - 1 < 5 or 8 + x ³ 18
1
2
3
4
5
6
7
8
12) m + 7 £ -3 or m + 9 > 12
9 10 11 12 13 14 15
x < 6 or x ³ 10
13) 10 < 10 + m £ 19
-2 -1
0
1
-12 -10
-8
-6
-4
-2
0
2
4
6
m £ -10 or m > 3
2
3
4
14) x + 8 £ -1 or 9x > 81
5
0<m£9
6
7
8
9
10
-12
-8
-4
0
4
8
12
x £ -9 or x > 9
Solve each equation.
15) 6a + 6 = -6(-5a + 3)
{1 }
16) 6(1 + 3m) - 7 = -40 + 5m
{-3}
17) -6(7 + 7x) = 3 + 3x
{-1}
18) -4x + 7( x - 1) = -(7 - 8x)
{0}
19) 6(4n + 4) = 5(5n + 7)
{-11}
20) p - 3 p = -8( p + 1) + 8(1 - 5 p)
{0}
Worksheet by Kuta Software LLC
©A d2s0k1^6m jKIuGtxaD qSwogfItGw^aKr_eG SLELNCC.y u cAjlDlc MrUiegkhXtjsl orFersxeZrAvqeXdl.A \ gMGaKdzeL OwJibtzhd QISnFftianmistieI BAmlWgMe`bPryaB c2[.