Download Infinite Algebra 1

Algebra 1
Name___________________________________ ID: 1
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Mixed Review #3
Date________________ Period____
Find the mode, median, and mean for each data set.
1)
Hours Slept
5 6 7 8 9
Hours
Solve each equation.
2) -7n - 24 = -8(n + 3) - 6
3) 15 - 8n = 3(1 - 2n)
4) -8(-4a + 1) = -8 + 3a
5) -2(-3 - x) = 2x + 9
Simplify. Your answer should contain only positive exponents.
-3 4 3
6) (4a b
8)
(3r 2) 3
)
4 -2 3
7) (3a b
9)
r
)
(2n) 3
(3n 3) 2
Worksheet by Kuta Software LLC
-1-
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Find each product.
10) (-5v + 1)(-v - 4)
11) ( x 2 - x - 6)(2x + 7)
Sketch the graph of each linear inequality.
13) 4x - 5 y < -20
7
12) y £ x - 2
2
y
6
y
5
6
4
5
3
4
2
3
1
2
-6 -5 -4 -3 -2 -1
1
1
2
3
4
5
6 x
-1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-2
-1
-3
-2
-4
-3
-5
-4
-6
-5
-6
Solve each compound inequality and graph its solution.
14) 3v - 10 ³ -10 and 6 - 3v > -21
-3 -2 -1
0
1
2
3
4
5
6
7
8
9
15) 2 + 10v £ -88 or 4v - 5 ³ -5
-12
10
-10
-8
-6
-4
-2
0
2
4
Find the slope of each line.
16)
17)
y
x
y
x
Worksheet by Kuta Software LLC
-2-
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Find the slope of the line through each pair of points.
18) (17, -11), (6, 0)
19) (-10, 17), (20, -4)
Write the slope-intercept form of the equation of each line.
20)
21)
y
y
4
4
2
2
-5 -4 -3 -2 -1
1
2
3
5 x
4
-5 -4 -3 -2 -1
1
-2
-2
-4
-4
2
3
5 x
4
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
22) Slope = -2, y-intercept = -4
7
23) Slope = - , y-intercept = 3
5
Sketch the graph of each line.
25) 2x + 5 y = -5
7
24) y = x + 3
4
y
6
y
5
6
4
5
3
4
2
3
1
2
-6 -5 -4 -3 -2 -1
1
1
2
3
4
5
6 x
-1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-2
-1
-3
-2
-4
-3
-5
-4
-6
-5
-6
Worksheet by Kuta Software LLC
-3-
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Answers to Mixed Review #3 (ID: 1)
1) Mode = 7, Median = 7 and
2) {-6}
Mean = 7.4
5) No solution.
4) {0}
8) 27r 5
9)
3) {6}
64b 12
6)
a9
10) 5v 2 + 19v - 4
8
9n 3
11) 2x 3 + 5x 2 - 19x - 42
12)
13)
y
-6
-4
27a 12
7)
b6
y
6
6
4
4
2
2
-2
2
4
6 x
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
4
6 x
14) 0 £ v < 9 :
-3 -2 -1 0
1
2
3
4
5
6
7
8
9 10
15) v £ -9 or v ³ 0 :
-12
-10
1
6
20) y = 2x - 3
16) -
24)
y
-6
-4
-8
-6
-4
-2
0
2
4
17) 2
18) -1
1
21) y = - x + 2
2
25)
22) y = -2x - 4
6
4
4
2
2
2
4
6 x
-6
7
10
7
23) y = - x + 3
5
y
6
-2
19) -
-4
-2
2
-2
-2
-4
-4
-6
-6
4
6 x
Worksheet by Kuta Software LLC
-4-
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