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Self-Check Quizzes—ISTEP+/GQE
Self-Check Quizzes
randomly generates a self-grading quiz correlated to each lesson
in your textbook. Hints are available if you need extra help.
Immediate feedback that includes specific page references allows
you to review lesson skills. Choose a lesson from the list below. |
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Version |
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| Academic
Standard |
Student
Edition Lesson(s) |
Standard
1 Operations with Real Numbers
Students simplify and compare expressions. They
use rational exponents, and simplify square roots. |
| A1.1.1
|
|
Compare real number
expressions. |
|
2-1,
2-7,
11-2 |
| A1.1.2 |
|
Simplify square
roots using factors. |
|
11-1,
11-2
|
| A1.1.3 |
|
Understand and use
the distributive, associative, and
commutative properties. |
|
1-5,1-6,6-3
|
| A1.1.4
|
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Use the laws of
exponents for rational exponents. |
|
10-5,
11-1 |
| A1.1.5 |
|
Use dimensional
(unit) analysis to organize conversions
and computations. |
|
12-3,
12-4 |
Standard
2 Linear Equations and Inequalities
Students solve linear equations and inequalities
in one variable. They solve word problems that involve
linear equations, inequalities, or formulas. |
| A1.2.1
|
|
Solve linear equations.
|
|
1-3,3-2,3-3,3-4,3-5,7-2,7-3,7-4 |
| A1.2.2
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Solve equations
and formulas for a specified variable. |
|
1-2,
3-8,
4-4,
5-3 |
| A1.2.3 |
|
Find solution sets
of linear inequalities when possible numbers
are given for the variable. |
|
1-3,
6-6,
7-1 |
| A1.2.4 |
|
Solve linear inequalities
using properties of order. |
|
1-3,
6-3 |
| A1.2.5 |
|
Solve combined linear
inequalities. |
|
6-4,
7-5 |
| A1.2.6 |
|
Solve word problems
that involve linear equations, formulas, and
inequalities. |
|
1-3,
7-5,3-2,3-3,3-4,3-5,4-5,4-6,6-1,6-2,6-3 |
Standard
3 Relations and Functions
Students sketch and interpret graphs representing
given situations. They understand the concept of
a function and analyze the graphs of functions. |
| A1.3.1
|
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Sketch a reasonable
graph for a given relationship. |
|
1-8 |
| A1.3.2 |
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Interpret a graph
representing a given situation. |
|
1-8,
1-9,
2-5,
13-2 |
| A1.3.3 |
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Understand the concept
of a function, decide if a given relation
is a function, and link equations to functions.
|
|
4-6,
10-2 |
| A1.3.4
|
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Find the domain
and range of a relation. |
|
1-8,
4-3,4-4,4-5 |
Standard
4 Graphing Linear Equations and Inequalities
Students graph linear equations and inequalities
in two variables. They write equations of lines
and find and use the slope and y intercept of lines.
They use linear equations to model real data. |
| A1.4.1
|
|
Graph a linear equation. |
|
4-5,5-2,5-3,7-1 |
| A1.4.2 |
|
Find the slope,
x intercept and y intercept of a line given
its graph, its equation, or two points on
the line. |
|
4-5,
5-3,5-4 |
| A1.4.3 |
|
Write the equation
of a line in slope intercept form. Understand
how the slope and y intercept of the graph
are related to the equation. |
|
5-4 |
| A1.4.4
|
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Write the equation
of a line given appropriate information. |
|
5-4,5-5 |
| A1.4.5
|
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Write the equation
of a line that models a data set and use the
equation (or the graph of the equation) to
make predictions. Describe the slope of the
line in terms of the data, recognizing that
the slope is the rate of change. |
|
5-7 |
| A1.4.6
|
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Graph a linear inequality
in two variables. |
|
6-6,7-5 |
Standard
5 Pairs of Linear Equations and Inequalities
Students solve pairs of linear equations using
graphs and using algebra. They solve pairs of linear
inequalities using graphs. They solve word problems
involving pairs of linear equations. |
| A1.5.1
|
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Use a graph to estimate
the solution of a pair of linear equations
in two variables. |
|
7-1 |
| A1.5.2
|
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Use a graph to find
the solution set of a pair of linear inequalities
in two variables. |
|
7-5 |
| A1.5.3
|
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Understand and use
the substitution method to solve a pair of
linear equations in two variables. |
|
7-2,7-4 |
| A1.5.4
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Understand and use
the addition or subtraction method to solve
a pair of linear equations in two variables. |
|
7-3,7-4 |
| A1.5.5
|
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Understand and use
multiplication with the addition or subtraction
method to solve a pair of linear equations
in two variables. |
|
7-4 |
| A1.5.6
|
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Use pairs of linear
equations to solve word problems. |
|
7-1,7-2,7-3,7-4 |
Standard
6 Polynomials
Students add, subtract, multiply, and divide
polynomials. They factor quadratics. |
| A1.6.1
|
|
Add and subtract
polynomials. |
|
8-5,
3-8 |
| A1.6.2
|
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Multiply and divide
monomials. |
|
8-1,
8-2,
8-3,
12-2 |
| A1.6.3
|
|
Find powers and
roots of monomials (only when the answer has
an integer exponent). |
|
8-1,
11-1 |
| A1.6.4
|
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Multiply polynomials. |
|
8-6,
8-7,8-8 |
| A1.6.5 |
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Divide polynomials
by monomials. |
|
12-5 |
| A1.6.6
|
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Find a common monomial
factor in a polynomial. |
|
9-2,
11-1 |
| A1.6.7
|
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Factor the difference
of two squares and other quadratics. |
|
9-3,
9-4,9-5,9-6 |
| A1.6.8
|
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Understand and describe
the relationships among the solutions of an
equation, the zeros of a function, the x intercepts
of a graph, and the factors of a polynomial
expression. |
|
10-2 |
Standard
7 Algebraic Fractions
Students simplify algebraic ratios and solve
algebraic proportions. |
| A1.7.1
|
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Simplify algebraic
ratios. |
|
12-2,
12-3,12-4,12-5,12-6,12-7 |
| A1.7.2 |
|
Solve algebraic
proportions. |
|
3-6,
12-9 |
Standard
8 Quadratic, Cubic, and Radical Equations
Students graph and solve quadratic and radical
equations. They graph cubic equations. |
| A1.8.1
|
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Graph quadratic,
cubic, and radical equations. |
|
10-1,
10-2,
11-3 |
| A1.8.2
|
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Solve quadratic
equations by factoring. |
|
9-2,
9-3,
9-4,
9-5,
9-6 |
| A1.8.3
|
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Solve quadratic
equations in which a perfect square equals
a constant. |
|
9-6,
10-3 |
| A1.8.4
|
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Complete the square
to solve quadratic equations. |
|
10-3 |
| A1.8.5
|
|
Derive the quadratic
formula by completing the square. |
|
11-1 |
| A1.8.6
|
|
Solve quadratic
equations by using the quadratic formula. |
|
10-4 |
| A1.8.7
|
|
Use quadratic equations
to solve word problems. |
|
10-2,10-3,10-4 |
| A1.8.8
|
|
Solve equations
that contain radical expressions. |
|
11-3 |
| A1.8.9
|
|
Use graphing technology
to find approximate solutions of quadratic
and cubic equations. |
|
10-2,10-4 |
Standard
9 Mathematical Reasoning and Problem Solving
Students use a variety of strategies to solve
problems. |
| A1.9.1 |
|
Use a variety of
problem solving strategies, such as drawing
a diagram, making a chart, guess and check,
solving a simpler problem, writing an equation,
and working backwards. |
|
1-7,
3-1,
3-2,
3-3,
3-4,3-5,3-7,4-8,7-1,7-2,7-5,10-3,10-5 |
| A1.9.2 |
|
Decide whether a
solution is reasonable in the context of the
original situation. |
|
4-4 |
Standard
9 Mathematical Reasoning and Problem Solving
Students develop and evaluate mathematical arguments
and proofs. |
| A1.9.3 |
|
Use the properties
of the real number system and the order of
operations to justify the steps of simplifying
functions and solving equations. |
|
1-2,
1-3,
1-4,1-5,1-6,3-4,3-5 |
| A1.9.4
|
|
Understand that
the logic of equation solving begins with
the assumption that the variable is a number
that satisfies the equation, and that the
steps taken when solving equations create
new equations that have, in most cases, the
same solution set as the original. Understand
that similar logic applies to solving systems
of equations simultaneously. |
|
1-7,
3-2,
3-3,
3-4,3-5,
11-3 |
| A1.9.5
|
|
Decide whether a
given algebraic statement is true always,
sometimes, or never (statements involving
linear or quadratic expressions, equations,
or inequalities). |
|
3-2,
6-1,
6-5,
10-5,
10-7,
13-2 |
| A1.9.6
|
|
Distinguish between
inductive and deductive reasoning, identifying
and providing examples of each. |
|
1-7,
4-8,
8-3 |
| A1.9.7
|
|
Identify the hypothesis
and conclusion in a logical deduction |
|
1-7 |
| A1.9.8
|
|
Use counterexamples
to show that statements are false, recognizing
that a single counterexample is sufficient
to prove a general statement false. |
|
1-7,
3-5,
3-6,
4-3,
4-6,6-2,7-1,8-1,8-4,9-1,13-4 |
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—ISTEP+/GQE
Answer Sheet