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Algebra Chapter 1 Test Review - Expressions, Equations, and Functions
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Gravity
Key Concepts:
Terms in this set (147)
y-axis
The y-intercept is where the graph intersects the
x-axis
The x-intercept is where the graph intersects the
straight line
A linear equation is in the form of a
curve
A non-linear equation is in the form of a
drawn down the middle at x = #
A graph has line symmetry if a line can be
what happens towards the end of the graph
End behavior is about
2x + 14
(x + 7)2
2x - 14
(x - 7)2
7x - 70
7(x - 10)
7x + 70
7(x + 10)
3m + 3n
3(m + n)
3m - 3n
3(m - n)
2x - 2y
2(x - y)
2x + 2y
2(x + y)
2x - xy
x(2 - y)
2x + xy
x(2 + y)
7x - 7
7(x - 1)
7x + 7
7(x + 1)
2x - 14
2(x - 7)
2x + 14
2(x + 7)
3m - 3n
3(m - n)
4x - 16
4(x - 4)
8x - 4
4(2x - 1)
-2x + 14
-2(x - 7)
-2x - 14
-2(x + 7)
-7x + 7
-7(x - 1)
-7x - 7
-7(x + 1)
4a + 16b
4(a + 4b)
-4a - 16b
-4(a + 4b)
4a - 16b
4(a - 4b)
4a + 4b - 4c
4(a + b - c)
4a - 4b - 4c
4(a - b - c)
4a + 4b + 4c
(a + b + c)4
Additive Identity Property
What is the property: 6 + 0 = 6
Additive Identity Property
What is the property: 0 + 8 = 8
Multiplicative Identity Property
What is the property: 8(1) = 8
Multiplicative Identity Property
What is the property: 1(10) = 10
Zero Product Property
What is the property: 7(0) = 0
Zero Product Property
What is the property: 0(-4) = 0
Multiplicative Inverse Property
What is the property: (3/4)(4/3) = 1
Multiplicative Inverse Property
What is the property: 2(1/2) = 1
Additive Inverse Property
What is the property: 4 + (-4) = 0
Additive Inverse Property
What is the property: -6 + 6 = 0
Commutative Property
What is the property: 7 + 8 = 8 + 7
Commutative Property
What is the property: 1 + 2 + 3 = 3 + 2 + 1
Commutative Property
What is the property: 6 x 5 = 5 x 6
Associative Property
What is the property: 2 + (3 + 4) = (2 + 3) + 4
Associative Property
What is the property: (2 x 3) x 4 = 2 x (3 x 4)
Distributive Property
What is the property: 4(x - 5) = 4x - 20
Distributive Property
What is the property: a(b + c) = ab + ac
Reflexive Property
What is the property: 4 = 4
Reflexive Property
What is the property: a = a
Symmetric Property
What is the property: 5 = x, so x = 5
Symmetric Property
What is the property: 4 = b, so b = 4
Transitive Property
What is the property: If x = 6, and 6 = y, then x = y.
Transitive Property
What is the property: If a = b and b = c, then a = c
the product of 9 and x squared
Translate: 9x²
the difference of 9 and x squared
Translate: 9 - x²
the sum of 9 and x squared
Translate: 9 + x²
5 squared
Translate: 5²
5 cubed
Translate: 5³
the sum of c and twice d
Translate: c + 2d
the sum of c and three times d
Translate: c + 3d
the difference of 4 and 5 times x
Translate: 4 - 5x
the difference of 5 and 4 times x
Translate: 5 - 4x
2 times x squared
Translate: 2x²
2 times x cubed
Translate: 2x³
1 less than 7 times x cubed
Translate: 7x³ - 1
7 less than x cubed
Translate: x³ - 7
3 times n squared minus x
Translate: 3n² - x
the product of 2 and n squared added by x
Translate: 2n² + x
x to the fourth power plus 6 times r
Translate: x⁴ + 6r
the sum of a number x and 10
Translate: x + 10
15 less than x
Translate: x - 15
15 more than x
Translate: x + 15
the product of x and 10
Translate: 10x
6 more than twice x
Translate: 2x + 6
6 less than twice x
Translate: 2x - 6
8 increased by three times x
Translate: 8 + 3x
the difference of 17 and 5 times x
Translate: 17 - 5x
the product of 2 and x plus 1
Translate: 2x + 1
two times the sum of x and 4
Translate: 2(x + 4)
two times the difference of x and 4
Translate: 2(x - 4)
3 times the quantity of x and 4
Translate: 3(x + 4)
3 times the difference of x and 4
Translate: 3(x - 4)
3 times the sum of x and 2
Translate: 3(x + 2)
63
(5 + 4) • 7
21
(9 - 2) • 3
22
4 + 6 • 3
16
12 + 2 • 2
41
(3 + 5) • 5 + 1
25
9 + 4(3 + 1)
12
30 - 5 • 4 + 2
26
10 + 2 • 6 + 4
-22
14 ÷ 7 • 5 - 32
24
4[30 - (10 - 2) • 3]
10
5 + [30 - (6 - 1)²]
42
2[12 + (5 - 2)² ]
yes
Is it a function? {(2, 5), (4, -2), (3, 3), (5, 4), (-2, 5)}
no
Is it a function? {(6, -1), (-4, 2), (5, 2), (4, 6), (6, 5)}
yes
Is it a function? y = x + 3
no
Is it a function? x = 2
yes
Is it a function? y = 1
yes
Is it a function? y = -3
yes
Is it a function? a horizontal line
no
Is it a function? a vertical line
no
Is it a function? a table with a repeated x-value
yes
Is it a function? a table with no repeating x-values
14
If f(x) = 3x + 2, find f(4)
26
If f(x) = 3x + 2, find f(8)
-4
If f(x) = 3x + 2, find f(-2)
4
If f(x) = 3x + 2, find f(1) - 1
9
If f(x) = 3x + 2, find f(2) + 1
3x + 5
If f(x) = 3x + 2, find f(x + 1)
2
If g(x) = x² - x, find g(2)
12
If g(x) = x² - x, find g(-3)
42
If g(x) = x² - x, find g(-6)
0
If g(x) = x² - x, find g(2) - 2
6
If g(x) = x² - x, find g(-1) + 4
9b² - 3b
If g(x) = x² - x, find g(3b)
18
If f(x) = 2x², find f(3)
32
If f(x) = 2x², find f(-4)
51
If f(x) = 2x², find f(5) + 1
67
If f(x) = 2x², find f(-6) -5
-1
If g(x) = 3x² + 2x - 1, find g(0)
15
If g(x) = 3x² + 2x - 1, find g(2)
20
If g(x) = 3x² + 2x - 1, find g(-3)
22
If g(x) = 3x² + 2x - 1, find g(-3) + 2
range
the list of y-values is the
domain
the list of x-values is the
{4, -1, 3, -2}
Find the domain for: {(4, 3), (-1, 4), (3, -2), (-2, 1)}
{3, 4, -2, 1}
Find the range for: {(4, 3), (-1, 4), (3, -2), (-2, 1)}
{0, 1, 4}
Find the domain for: {(0, 9), (0, 8), (1, 2), (4, 3)}
{9, 8, 2, 3}
Find the range for: {(0, 9), (0, 8), (1, 2), (4, 3)}
{3, 2}
Find the domain for: {(3, 1), (2, 3), (3, 2), (2, 1)}
{1, 3, 2}
Find the range for: {(3, 1), (2, 3), (3, 2), (2, 1)}
independent variable
The domain is the
dependent variable
The range is the
linear
Is the graph linear or nonlinear?
nonlinear
Is the graph linear or nonlinear?
x = 0
What is the x-intercept of the graph?
y = 0
What is the y-intercept of the graph?
x = 0, x = 6
What are the x-intercepts of the graph?
y = 0
What is the y-intercept of the graph?
no
Is the mapping a function?
no
Is the table a function?
yes
Is the graph a function?
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