Algebra 1
Name___________________________________ ID: 1
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Final Review Linear Equations
Date________________ Period____
Sketch the graph of each line. 1) x-intercept = -3, y-intercept = -1
2) x-intercept = 4, y-intercept = -1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
3) y = x + 2
2
3
4
5
6 x
1
2
3
4
5
6 x
1 4) y = - x 4
y 6
y
5
6
4
5
3
4
2
3
1 -6 -5 -4 -3 -2 -1
1
2 1
2
3
4
5
6 x
1
-1 -6 -5 -4 -3 -2 -1
-2
-1
-3
-2
-4
-3
-5
-4
-6
-5 -6
Worksheet by Kuta Software LLC
-1-
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5) 5x + 2 y = -4
6) 7x - y = 4 y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
Find the slope of each line. 7)
8)
y
y
x
x
Find the slope of the line through each pair of points. 9) (8, 5), (20, -4)
10) (19, 10), (19, -17)
Find the slope of each line. 11) y = x - 4
7 12) y = x + 5 5
Find the slope of a line parallel to each given line. 8 13) y = x + 5 3
14) y = 2
Worksheet by Kuta Software LLC
-2-
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Find the slope of a line perpendicular to each given line. 16) y = -x - 2
1 15) y = x + 1 2
Write the slope-intercept form of the equation of each line given the slope and y-intercept. 7 17) Slope = , y-intercept = -5 2
6 18) Slope = - , y-intercept = 1 5
Write the slope-intercept form of the equation of each line. 19)
20)
y
y
4
4
2
2
-5 -4 -3 -2 -1
1
2
3
4
5 x
-5 -4 -3 -2 -1
-2
-2
-4
-4
1
21) 4x + 7 y = -42
22) 7x - 6 y = -30
23) y = 2( x + 2)
24) y + 2 = 0
25) y = 5( x + 2)
26) y - 2 = -7( x + 1)
2
3
4
5 x
Write the slope-intercept form of the equation of the line through the given points. 27) through: (4, 3) and (0, 5)
28) through: (0, -2) and (-1, 5)
Write the slope-intercept form of the equation of the line described. 5 29) through: (1, 2), parallel to y = - x - 4 3
1 30) through: (-3, -1), parallel to y = x - 5 3 Worksheet by Kuta Software LLC
-3-
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1 31) through: (-3, -5), perp. to y = - x + 3 2
1 32) through: (1, -5), perp. to y = x - 2 4
Sketch the graph of each linear inequality. 1 33) y > - x + 1 5
2 34) y £ - x + 4 3 y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
2
3
4
-7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
5
6 x
Draw a graph for each inequality. 35) k £ 4
36) n > -5
-7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
5
6
7
Solve each inequality and graph its solution. 37) 5 £ 14
15
k 4 16
38) 13 < x - 6 11 17
18
19
20
21
22
23
-7
-6
-5
-4
-8
-7
-6
-5
14
15
16
17
18
19
20
21
0
1
2
3
4
5
6
40) 17 < -17x -3
-2
-1
0
1
2
-4
-4
-3
-2
-1
42) x + 3 - 4x £ 18
41) -12 < 2v + 4v -9
13
24
39) 5 £ b - (-11) -8
12
-3
-2
-1
0
-12
1
-10
-8
-6
-4
Worksheet by Kuta Software LLC
-4-
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Algebra 1
Name___________________________________ ID: 1
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Final Review Linear Equations
Date________________ Period____
Sketch the graph of each line. 1) x-intercept = -3, y-intercept = -1
2) x-intercept = 4, y-intercept = -1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
3) y = x + 2
2
3
4
5
6 x
1
2
3
4
5
6 x
1 4) y = - x 4
y 6
y
5
6
4
5
3
4
2
3
1 -6 -5 -4 -3 -2 -1
1
2 1
2
3
4
5
6 x
1
-1 -6 -5 -4 -3 -2 -1
-2
-1
-3
-2
-4
-3
-5
-4
-6
-5 -6
Worksheet by Kuta Software LLC
-1-
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5) 5x + 2 y = -4
6) 7x - y = 4 y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
Find the slope of each line. 7)
8)
y
y
x
x
1 7
-1
Find the slope of the line through each pair of points. 9) (8, 5), (20, -4) -
10) (19, 10), (19, -17)
3 4
Undefined
Find the slope of each line. 11) y = x - 4 1
7 12) y = x + 5 5 7 5
Find the slope of a line parallel to each given line. 8 13) y = x + 5 3
14) y = 2 0
8 3 Worksheet by Kuta Software LLC
-2-
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Find the slope of a line perpendicular to each given line. 16) y = -x - 2
1 15) y = x + 1 2
1
-2 Write the slope-intercept form of the equation of each line given the slope and y-intercept. 7 17) Slope = , y-intercept = -5 2 7 y= x-5 2
6 18) Slope = - , y-intercept = 1 5 6 y=- x+1 5
Write the slope-intercept form of the equation of each line. 19)
20)
y
y
4
4
2
2
-5 -4 -3 -2 -1
1
2
3
4
5 x
-5 -4 -3 -2 -1
-2
-2
-4
-4
1 y=- x+5 5
2
3
4
5 x
x=2
21) 4x + 7 y = -42 4 y=- x-6 7
22) 7x - 6 y = -30 7 y= x+5 6
23) y = 2( x + 2)
24) y + 2 = 0
y = 2x + 4 25) y = 5( x + 2)
1
y = -2 26) y - 2 = -7( x + 1)
y = 5x + 10
y = -7x - 5
Write the slope-intercept form of the equation of the line through the given points. 27) through: (4, 3) and (0, 5) 1 y=- x+5 2
28) through: (0, -2) and (-1, 5) y = -7x - 2
Write the slope-intercept form of the equation of the line described. 5 29) through: (1, 2), parallel to y = - x - 4 3 5 11 y=- x+ 3 3
1 30) through: (-3, -1), parallel to y = x - 5 3 1 y= x 3 Worksheet by Kuta Software LLC -3-
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1 31) through: (-3, -5), perp. to y = - x + 3 2
1 32) through: (1, -5), perp. to y = x - 2 4
y = 2x + 1
y = -4x - 1
Sketch the graph of each linear inequality. 1 33) y > - x + 1 5
2 34) y £ - x + 4 3 y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
2
3
4
-7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
5
6 x
Draw a graph for each inequality. 35) k £ 4
36) n > -5
-7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
5
6
7
Solve each inequality and graph its solution. 37) 5 £ 14
15
k 4 16
38) 13 < x - 6 11 17
18
19
20
21
22
23
24
12
13
14
15
16
17
18
19
20
21
0
1
2
3
4
5
6
x > 19
k ³ 20
39) 5 £ b - (-11) -8
-7
-6
-5
-4
40) 17 < -17x -3
-2
-1
0
1
2
-4
b ³ -6
-8
v > -2
-2
-1
x < -1
42) x + 3 - 4x £ 18
41) -12 < 2v + 4v -9
-3
-7
-6
-5
-4
-3
-2
-1
0
-12
1
-10
-8
-6
-4
x ³ -5
Worksheet by Kuta Software LLC
-4-
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