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Standard No.
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Standard Language
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Publisher Citations
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ALGEBRA
I
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Primary Citations
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Supporting Citations
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A.A.1
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Translate
a quantitative verbal phrase into an algebraic expression
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1.04
1.12
to 1.15
1.17
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1.10
to 1.11
1.16
1.21
to 1.22
1.39
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A.A.2
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Write
a verbal expression that matches a given mathematical expression
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1.16
1.19
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1.04
1.10 to
1.15
1.17
1.21 to
1.22
1.39
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A.A.3
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Distinguish
the difference between an algebraic expression and an algebraic equation
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1.25
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1.28
to 1.29
1.39
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A.A.4
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Translate
verbal sentences into mathematical equations or inequalities
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1.26
8.08
8.13
8.14
12.50
to 12.51
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1.27
to 1.29
1.39
8.11
to 8.12
8.21
to 8.22
8.40
12.52
to 12.53
12.69
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A.A.5
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Write
algebraic equations or inequalities that represent a situation
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1.26
8.08
8.13
8.14
12.50
to 12.51
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1.27
to 1.29
1.39
8.11
to 8.12
8.21
to 8.22
8.40
12.52
to 12.53
12.69
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A.A.6
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Analyze and solve verbal problems whose solution requires
solving a linear equation in one variable or linear inequality in one variable
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1.26
8.09
to 8.10
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1.28
to 1.29
1.39
8.11
to 8.12
8.40
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A.A.7
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Analyze and solve verbal problems whose solution requires
solving systems of linear equations in two variables.
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7.06
7.10
7.12
to 7.13
7.17
7.23
to 7.28
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7.20
to 7.21
7.30
to 7.31
7.47
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A.A.8
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Analyze and solve verbal problems that involve quadratic
equations
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13.07
13.09
to 13.10
13.16
13.18
13.29
13.34
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13.11
to 13.12
13.19
to 13.20
13.37
to 13.38
13.63
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A.A.9
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Analyze
and solve verbal problems that involve exponential growth and decay
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None
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A.A.10
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Solve
systems of two linear equations in two variables algebraically
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7.01
7.11
to 7.17
7.22
to 7.28
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7.02
to 7.04
7.18
to 7.21
7.29
to 7.31
7.47
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A.A.11
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Solve
a system of one linear and one quadratic equation in two variables, where
only factoring is required
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13.55
to 13.56
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13.57
to 13.58
13.63
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A.A.12
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Multiply
and divide monomial expressions with a common base, using the properties of
exponents
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10.20
10.35
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10.27
to 10.28
10.41
to 10.42
10.85
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A.A.13
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Add,
subtract, and multiply monomials and polynomials
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10.14
to 10.17
10.20
to 10.25
10.29
to 10.32
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9.01
to 9.23
10.18
to 10.19
10.26
to 10.28
10.33
to 10.34
10.85
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A.A.14
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Divide
a polynomial by a monomial or binomial, where the quotient has no remainder
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10.36
to 10.40
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10.41
to 10.42
10.85
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A.A.15
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Find values of a variable for which an algebraic fraction is
undefined
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11.01
to 11.04
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11.08
to 11.09
11.51
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A.A.16
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Simplify fractions with polynomials in the numerator and
denominator by factoring both and renaming them to lowest terms
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11.02
to 11.05
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11.06
to 11.09
11.51
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A.A.17
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Add
or subtract fractional expressions with monomial or like binomial
denominators
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11.19
to 11.20
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11.24
to 11.25
11.51
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A.A.18
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Multiply
and divide algebraic fractions and express the product or quotient in
simplest form
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11.10
to 11.11
11.13 to
11.16
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11.12
11.17
to 11.18
11.51
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A.A.19
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Identify
and factor the difference of two perfect squares
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13.06
to 13.07
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13.11
to 13.12
13.63
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A.A.20
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Factor algebraic expressions completely, including trinomials
with a lead coefficient of one (after factoring a GCF)
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10.51
to 10.53
10.55
to 10.59
10.64
to 10.67
10.71
to 10.72
10.75
to 10.76
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10.54
10.61
to 10.63
10.68
to 10.70
10.73
to 10.74
10.77
to 10.78
10.85
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A.A.21
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Determine whether a given value is a solution to a given linear
equation in one variable or linear inequality in one variable
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3.02
8.01
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3.01
3.11
to 3.12
3.61
8.11
to 8.12
8.40
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A.A.22
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Solve all types of linear equations in one variable
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3.02
to 3.09
3.15
to 3.16
3.21
to 3.22
3.30
to 3.31
3.34
to 3.35
3.40
to 3.41
3.45
to 3.47
3.51
to 3.53
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3.11
to 3.12
3.17
to 3.20
3.23
to 3.25
3.32
to 3.33
3.37
to 3.39
3.42
3.49
to 3.50
3.54
to 3.55
3.61
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A.A.23
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Solve
literal equations for a given variable
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3.56
to 3.57
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3.58
to 3.59
3.61
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A.A.24
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Solve linear inequalities in one variable
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8.03
to 8.04
8.06
to 8.07
8.09
to 8.10
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8.05
8.11
to 8.12
8.40
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A.A.25
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Solve equations involving fractional expressions
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3.21
12.51
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3.24
to 3.25
3.61
12.52
to 12.53
12.69
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A.A.26
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Solve
algebraic proportions in one variable which result in linear or quadratic
equations
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6.15
to 6.16
11.39
to 11.42
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6.20
to 6.21
6.33
11.51
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A.A.27
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Understand and apply the multiplication property of zero to
solve quadratic equations with integral coefficients and integral roots
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13.03
to 13.10
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13.11
to 13.12
13.63
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A.A.28
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Understand the difference and connection between roots of a
quadratic equation and factors of a quadratic expression
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13.03
to 13.10
13.13
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13.11
to 13.12
13.63
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A.A.29
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Use set-builder notation and/or interval notation to illustrate
the elements of a set, given the elements in roster form
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8.18
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2.03
2.55
8.21
to 8.22
8.40
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A.A.30
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Find the complement of a subset of a given set, within a given
universe
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None
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A.A.31
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Find the intersection of sets (no more than three sets) and/or
union of sets (no more than three sets)
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8.19
to 8.20
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8.21
to 8.22
8.40
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A.A.32
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Explain slope as a rate of change between dependent and
independent variables
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5.27
to 5.28
5.30
5.36
5.50
5.52
5.55
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5.39
to 5.40
5.51
5.53
to 5.54
5.56
to 5.57
5.65
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A.A.33
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Determine the slope of a line, given the coordinates of two
points on the line
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5.23 to
5.24
5.34
5.36
5.50 to
5.51
5.55
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5.25
to 5.26
5.31
5.37
5.39
to 5.40
5.56
to 5.57
5.65
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A.A.34
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Write the equation of a line, given its slope and the
coordinates of a point on the line
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5.32
to 5.33
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5.39 to 5.40
5.65
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A.A.35
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Write the equation of a line, given the coordinates of two
points on the line
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5.34
5.38
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5.39 to 5.40
5.65
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A.A.36
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Write the equation of a line parallel to the x- or y-axis
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5.45
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5.42
5.44
5.47 to 5.48
5.65
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A.A.37
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Determine the slope of a line, given its equation in any form
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5.27
5.30
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5.39 to 5.40
5.65
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A.A.38
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Determine if two lines are parallel, given their equations in
any form
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5.42
5.44
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5.47 to 5.48
5.65
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A.A.39
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Determine whether a given point is on a line, given the equation
of the line
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5.08 to 5.09
6.06
6.08
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5.11 to 5.12
5.65
6.09
6.13 to 6.14
6.33
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A.A.40
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Determine whether a given point is in the solution set of a
system of linear inequalities
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8.27 to 8.31
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8.32 to 8.34
8.40
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A.A.41
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Determine the vertex and axis of symmetry of a parabola, given
its equation
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13.46 to 13.47
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13.53 to 13.54
13.63
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A.A.42
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Find the sine, cosine, and tangent ratios of an angle of a right
triangle, given the lengths of the sides
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None
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A.A.43
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Determine the measure of an angle of a right triangle, given the
length of any two sides of the triangle
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None
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A.A.44
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Find the measure of a side of a right triangle, given an acute
angle and the length of another side
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None
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A.A.45
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Determine the measure of a third side of a right triangle using
the Pythagorean theorem, given the lengths of any two sides
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12.38 to 12.39
13.08
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12.43 to 12.44
12.69
13.11 to 13.12
13.63
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