Algebra 1 Chapter 3 Review
13/9
(-2, -5) and (7,8)
undefined
(-7, 8) and (-7, 5)
-1
(-9, -3) & (-7, -5)
-1/7
(15, 2) and (-6, 5)
1/5
(3, 9) and (-2, 8)
0
(5, 9) and (3, 9)
2
(6, -2) and (5, -4)
-7
(6, 3) and (7, -4)
-4
(7, -4) and (4, 8)
1/4
(7/3, 4/3) and (-1/3, 2/3)
x-int: (6, 0) y-int: (0, 4)
2x + 3y = 12
x-int: (3, 0) y-int: (0, 2)
2x + 3y = 6
x-int: (6, 0) y-int: (0, 3)
2x + 4y = 12
x-int: (5, 0) y-int: (0, 2)
2x + 5y = 10
x-int: (3, 0) y-int: (0, 6)
2x + y = 6
x-int: (2, 0) y-int: (0, -2)
2x - 2y = 4
x-int: (5, 0) y-int: (0, -2)
2x - 5y = 10
x-int: (2, 0) y-int: (0, -4)
2x - y = 4
vertical stretch by a factor of 3
3f(x)
x-int: (10, 0) y-int: (0, 3)
3x + 10y = 30
x-int: (-4, 0) y-int: (0, -3)
3x + 4y = -12
x-int: (4, 0) y-int: (0, 3)
3x + 4y = 12
x-int: (5, 0) y-int: (0, 3)
3x + 5y = 15
x-int: (-3, 0) y-int: (0, -9)
3x + y = -9
x-int: (2, 0) y-int: (0, 6)
3x + y = 6
x-int: (-4, 0) y-int: (0, 3)
3x - 4y = -12
x-int: (4, 0) y-int: (0, -3)
3x - 4y = 12
x-int: (-3, 0) y-int: (0, 9)
3x - y = -9
x-int: (2, 0) y-int: (0, -6)
3x - y = 6
x-int: (5, 0) y-int: (0, 4)
4x + 5y = 20
x-int: (7, 0) y-int: (0, 4)
4x + 7y = 28
x-int: (2, 0) y-int: (0, 8)
4x + y = 8
x-int: (2, 0) y-int: (0, -8)
4x - y = 8
x-int: (6, 0) y-int: (0, 5)
5x + 6y = 30
x-int: (1, 0) y-int: (0, 5)
5x + y = 5
x-int: (6, 0) y-int: (0, -5)
5x - 6y = 30
x-int: (2, 0) y-int: (0, 4)
6x + 3y = 12
x-int: (1, 0) y-int: (0, 6)
6x + y = 6
no, no common difference
Determine whether the sequence is an arithmetic sequence. If yes, state the common difference. -1.2, 0.6, 1.8, 3.0, ...
no, no common difference
Determine whether the sequence is an arithmetic sequence. If yes, state the common difference. -2.2, -1.1, 0.1, 1.3, ...
yes, d = 17
Determine whether the sequence is an arithmetic sequence. If yes, state the common difference. -5, 12, 29, 46, ...
no, no common difference
Determine whether the sequence is an arithmetic sequence. If yes, state the common difference. 1, 4, 9, 16, ...
yes, d = -8
Determine whether the sequence is an arithmetic sequence. If yes, state the common difference. 21, 13, 5, -3, . . .
yes, d = 7
Determine whether the sequence is an arithmetic sequence. If yes, state the common difference. 9, 16, 23, 30, ...
a22 = 58
Find the 22nd term of the sequence: -5, -2, 1, 4, 7, ...
a22 = 190
Find the 22nd term of the sequence: 1, 10, 19, 28, ...
a22 = -50
Find the 22nd term of the sequence: 13, 10, 7, 4, ...
18, 25, 32
Find the next three terms of the arithmetic sequence: -10, -3, 4, 11, ...
7, 21, 35
Find the next three terms of the arithmetic sequence: -49, -35, -21, -7, ...
7, 10, 13
Find the next three terms of the arithmetic sequence: -5, -2, 1, 4, ...
4, 2, 0
Find the next three terms of the arithmetic sequence: 12, 10, 8, 6, ...
-8, -13, -18
Find the next three terms of the arithmetic sequence: 12, 7, 2, -3, ...
-1/4, -1/2, -3/4
Find the next three terms of the arithmetic sequence: 3/4, 1/2, 1/4, 0, ...
58, 52, 46
Find the next three terms of the arithmetic sequence: 82, 76, 70, 64, ...
x = 2
Find the zero: y = -10x + 20
x = 5
Find the zero: y = -5x + 25
x = 10
Find the zero: y = 100 - 10x
x = 50
Find the zero: y = 150 - 3x
x = 8
Find the zero: y = 200 - 25x
x = 4
Find the zero: y = 200 - 50x
x = 5
Find the zero: y = 40 - 8x
x = 5
Find the zero: y = 400 - 80x
x = 25
Find the zero: y = 50 - 2x
x = 6
Find the zero: y = 60 - 10x
find the x-intercept
Finding the zero means to
nonlinear
Is it linear? (6/x) + 3y = 9
linear
Is it linear? -5y = 20
linear
Is it linear? 2x - 3y = 6
linear
Is it linear? 2y = -4
linear
Is it linear? 3x + 2y = 9
linear
Is it linear? 3x - y = 6
linear
Is it linear? 3x = 2
nonlinear
Is it linear? 3x² + 2y = 10
nonlinear
Is it linear? 4xy = 10
nonlinear
Is it linear? 4x² - 6y = 2
nonlinear
Is it linear? 5x + (7/y) = 3
linear
Is it linear? 5x = 10
nonlinear
Is it linear? 5xy - 7 = 10
nonlinear
Is it linear? 6yx + 3y = 10
linear
Is it linear? 7x - 8y = 0
linear
Is it linear? x + y = 0
linear
Is it linear? x = 6
linear
Is it linear? y = 1
nonlinear
Is it linear? y = x²
set y = 0 and solve for x
To find the x-intercept means to
2x - y = -4
Write in standard form: -2x + y = 4
2x + y = -4
Write in standard form: -2x - y = 4
x - y = 4
Write in standard form: -x + y = -4
x + y = 2
Write in standard form: 2 - x = y
2x + 3y = 0
Write in standard form: 2x = -3y
2x - 3y = 0
Write in standard form: 2x = 3y
4x - 3y = 0
Write in standard form: 4x = 3y
3x - 4y = 5
Write in standard form: 5 + 4y = 3x
5x - 8y = 0
Write in standard form: 5x = 8y
5x - 8y = 6
Write in standard form: 6 + 8y = 5x
8x - 5y = 0
Write in standard form: 8x = 5y
x - y = -2
Write in standard form: x = y - 2
2x + y = 1
Write in standard form: y = -2x + 1
5x + y = 2
Write in standard form: y = -5x + 2
5x + y = -2
Write in standard form: y = -5x - 2
2x - y = -1
Write in standard form: y = 2x + 1
an = 3n - 8
Write the equation for the arithmetic sequence: -5, -2, 1, 4, ...
an = -3n + 16
Write the equation for the arithmetic sequence: 13, 10, 7, 4, ...
an = 12n + 7
Write the equation for the arithmetic sequence: 19, 31, 43, 55...
an = 2n + 3
Write the equation for the arithmetic sequence: 5, 7, 9, 11, 13, ...
an = 4n + 5
Write the equation for the arithmetic sequence: 9, 13, 17, 21, ...
an = 9n - 8
Write the equation for the arithmetic sequence:1, 10, 19, 28, ...
horizontal stretch by a factor of 4
f(1/4x)
vertical translation up 2
f(x)+2
vertical translation up 3
f(x)+3
vertical translation up 4
f(x)+4
vertical translation down 1
f(x)-1
vertical translation down 3
f(x)-3
vertical translation down 4
f(x)-4
horizontal translation left 2
f(x+2)
x-int: (4, 0) y-int: (0, 2)
x + 2y = 4
x-int: (8, 0) y-int: (0, 2)
x + 4y = 8
x-int: (-1, 0) y-int: (0, -1)
x + y = -1
x-int: (1, 0) y-int: (0, 1)
x + y = 1
x-int: (2, 0) y-int: (0, 2)
x + y = 2
x-int: (3, 0) y-int: (0, 3)
x + y = 3
x-int: (5, 0) y-int: (0, 5)
x + y = 5
x-int: (6, 0) y-int: (0, 6)
x + y = 6
x-int: (7, 0) y-int: (0, 7)
x + y = 7
x-int: (8, 0) y-int: (0, 8)
x + y = 8
x-int: (9, 0) y-int: (0, 9)
x + y = 9
x-int: (4, 0) y-int: (0, -2)
x - 2y = 4
x-int: (1, 0) y-int: (0, -1)
x - y = 1
x-int: (2, 0) y-int: (0, -2)
x - y = 2
x-int: (3, 0) y-int: (0, -3)
x - y = 3
x-int: (5, 0) y-int: (0, -5)
x - y = 5
reflection across x axis
y = -f(x)
Vertical Shrink by a factor of 1/2
y = 1/2f(x)
vertical shrink by a factor of 1/3
y = 1/3 f(x)
vertical stretch by a factor of 3, vertical translation up 2
y = 3 f(x)+2
vertical stretch by a factor of 4, horizontal shift right 1
y = 4 f(x-1)
Horizontal shrink by a factor of 1/2
y = f(2x)
horizontal shrink of a factor of 1/2 and horizontal translation left 1
y = f(2x+1)
parent function, m = 1, b = 0
y = f(x)
Horizontal translation left 5 units
y = f(x+5)
horizontal translation right 1
y = f(x-1)