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Infinite Algebra 2 - Chapter 6 Test Review
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Infinite Algebra 2 - Chapter 6 Test Review
7) 2v - 1 = 1 + 3v - 3. 8) 1 - 6a = 3a + 10. Find the inverse of each function. ... Find (4h + 4g)(x). Identify the domain and range of each. Then ske...
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Algebra 2/Trig
Name___________________________________ ID: 1
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Chapter 6 Test Review
Date________________ Period____
Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator. -
1) ( y ) × ( x y ) -
2 2
-2
4 3
3)
2y × y 4xy × 4x
3 2
2 3
2) yx
y
4)
3 2
×x
2
1 2
2
( ) -
2
5 3
-2
x
1 3
x y
5 3
Solve each equation. Remember to check for extraneous solutions. 5)
x + 9 + 8 = 10
7)
2v - 1 = 1 +
6) 1 =
3v - 3
8)
6x - 2 - x
1 - 6a =
3a + 10
Find the inverse of each function. 9) f ( x) =
5
x+1-2
1 5 10) f ( x) = x + 2 2
3
11) f ( x) = ( x + 1) + 3
12) f ( x) =
3
x+1 2
Worksheet by Kuta Software LLC
-1-
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State if the given functions are inverses. 13) g( x) = x - 2 12 - x f ( x) = 3
3 x-2 3 f ( x) = + 2 x
14) g( x) =
Perform the indicated operation. 15) g( x) = x 2 - 4 h( x ) = x + 3 Find ( g h)( x)
16) h( x) = 3x 3 + x g( x) = -2x - 3 Find (4h + 4g)( x)
Identify the domain and range of each. Then sketch the graph. 17) y =
x-4+1
18) y =
x+4
y
-8
-6
19) y =
-4
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
-2
-2
-4
-4
-6
-6
-8
-8
x-3+3
20) y =
-6
-4
6
8 x
2
4
6
8 x
y
8
8
6
6
4
4
2
2
-2
4
x+6
y
-8
2
2
4
6
8 x
-8
-6
-4
-2
-2
-2
-4
-4
-6
-6
-8
-8
Worksheet by Kuta Software LLC
-2-
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Algebra 2/Trig
Name___________________________________ ID: 1
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Chapter 6 Test Review
Date________________ Period____
Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator. -
1) ( y ) × ( x y ) -
2 2
-2
3 2
2 3
2) yx
-2
×x
2
1 2
2
y
4 5 3
y x
4 3
3)
2y × y 4xy × 4x 2 3
x y 8
5 3
( ) -
2
y
4)
3 2
x
1 3
x y
5 6
5 3
1 3
2 3
x y x2y4 Solve each equation. Remember to check for extraneous solutions. 5)
x + 9 + 8 = 10
{-5}
7)
6x - 2 - x
6) 1 =
{3, 1}
2v - 1 = 1 +
3v - 3
8)
{1 }
1 - 6a =
3a + 10
{-1}
Find the inverse of each function. 9) f ( x) = f
5
x+1-2
-1
( x) = ( x + 2) 5 - 1
1 5 10) f ( x) = x + 2 2 f
-1
( x) = 2x - 5
3
11) f ( x) = ( x + 1) + 3 f
-1
( x) =
3
12) f ( x) =
x-3-1 f
-1
3
x+1 2
( x) = 2x 3 - 1
Worksheet by Kuta Software LLC
-1-
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State if the given functions are inverses. 13) g( x) = x - 2 12 - x f ( x) = 3
3 x-2 3 f ( x) = + 2 x
14) g( x) =
No
Yes
Perform the indicated operation. 15) g( x) = x 2 - 4 h( x ) = x + 3 Find ( g h)( x)
16) h( x) = 3x 3 + x g( x) = -2x - 3 Find (4h + 4g)( x)
x 2 + 6x + 5
12x 3 - 4x - 12
Identify the domain and range of each. Then sketch the graph. 17) y =
x-4+1
18) y =
y
-6
19) y =
-4
6
4
4
2
2
-2
2
4
6
-4
-8
-6
-4
-2
2 -2
-4
-4
-6
-6
-8
-8
20) y =
y
-6
8 x
-2
x-3+3
4
4
2
2 6
8 x
-8
-6
8 x
Domain: x ³ -6 Range: y ³ 0
8 6
4
6
y
Domain: x ³ 3 Range: y ³ 3
2
4
x+6
6
-2
Domain: x ³ -4 Range: y ³ 0
8
6
8
-8
y
Domain: x ³ 4 Range: y ³ 1
8
-8
x+4
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
4
6
8 x
Worksheet by Kuta Software LLC
-2-
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