Algebra 1
Name___________________________________
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Final Exam Skills Review - Day 2
Date________________ Period____
Complete all work on a separate piece of paper. If the problem requires graph paper, either use
your own or pick up a piece of copied graph paper. Make sure to write down every problem that
you do so you can use it to study from later. Read the directions completely.
Evaluate each expression.
2) 1 3 + 5
1) 1 + 5 × 3
Solve each equation or inequality. Graph the inequalities.
3) -18 £ -m - 8m
-1
0
1
2
3
4
4) 7n - 4n > -24
5
6
7
8
9
-10
-8
-6
5) 7(2n - 4) = -98
6) b - b = -8
7) 20 = -7 - 4v + 7
8) 0 < r + (-19)
-4
-2
0
12 13 14 15 16 17 18 19 20 21 22
9) -3a + 7(-4 - 4a) £ 220
-14
-12
-10
-8
10) x - 10 = -3
-6
Sketch the graph of each line.
7
3
11) y = x + 2
12) y = -2 x + 3
Worksheet by Kuta Software LLC
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Solve each system of linear equation OR inequalities by graphing.
1
4
13) y = x + 4
14) y > -5 x + 2
y ³ -x - 2
5
4
y=- x-2
15) y < -3
y > -4 x + 1
16) y = 3 x + 4
y = -3 x - 2
Simplify each expression.
17) (4a + 7a 2 - 8a 4 ) + (4a 4 + 7a 2 + 2a)
18) (7n - 3 - 8n 3 ) - (n + 8 + 3n 3 )
Factor the common factor out of each expression.
19) -16n 3 - 6n 2 + 6n
20) 10k 3 - 20k 2 + 60k
Factor each completely.
21) x 2 + 8 x + 15
22) 15m 2 - 123m - 270
Determine if the sequence is geometric or arithmetic. Find the common difference/ratio, the
explicit formula, and the three terms in the sequence after the last one given.
23) -6, -106, -206, -306, ...
24) 2, -12, 72, -432, ...
Evaluate each function.
25) k(t) = t 2 + 5; Find k(9)
26) h( x) = -2 x 3 - 1; Find h(-1)
27) w(a) = a + 3; Find w(-9)
28) g(n) = n 2 - 1; Find g(4)
Worksheet by Kuta Software LLC
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Find each product.
29) 2b 2 (7b + 8)
30) (8 x + 4)(3 x - 8)
Solve each system by elimination or substitution
31) -10 x - 4 y = 2
10 x + 5 y = -5
32) y = x - 12
y = -3 x + 16
33) - x + 7 y = 3
-4 x + 7 y = 12
34) y = -4 x - 20
7 x + 8 y = -10
Solve each equation by factoring, taking the square root, or quadraic formula.
35) n 2 - n - 12 = 0
36) 11a 2 + 9a - 4 = 0
37) 4v 2 + v - 9 = 0
38) -10 x 2 = -540
Explain the translation described by each quadratic or absolute value equation. Sketch the graph of
each function.
39) y = ( x - 1) 2 - 3
40) y = ( x + 3) 2 - 1
41) y = x + 4 - 3
42) y = x + 3
43) y = ( x + 4) 2 - 3
44) y = x - 3 + 3
45) y = x - 4
46) y = ( x + 1) 2 + 4
Worksheet by Kuta Software LLC
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Identify whether each equation is a function. If it is, tell whether it is linear, exponential, quadratic,
or absolute value. Then identify whether it is positive, negative, growth, or decay.
2
5
47) y = x + 1
49) y = x - 2 + 3
51) y =
()
1
2
x
48) y = 4 x 2 - 32 x + 61
50) y = 2 x
2
5
52) y = x + 1
53) y = x 2
54) y = x - 4 + 1
55) y = x 2 + 4 x + 5
56) y = 2( x + 4) 2 + 4
Write each function in vertex form.
57) y = - x 2 - 6 x - 10
58) y = -2 x 2 + 12 x - 22
59) y = 3 x 2 + 12 x + 13
60) y = x 2 + 6 x + 13
Write each function in standard form.
61) y = ( x + 1) 2 + 1
62) y = ( x - 4) 2 - 1
63) y = ( x - 4) 2 + 3
64) y = ( x + 3) 2 - 2
Worksheet by Kuta Software LLC
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