DSPM 0700 Lecture Notes - Lecture 99: Quadratic Function, Elementary Arithmetic, Rational Function
1 Nov 2016
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CALIFORNIA STANDARDS TEST
Released Test Questions Algebra I
Introduction - Algebra I
The following released test questions are taken from the Algebra I Standards Test. This test is one of the
California Standards Tests administered as part of the Standardized Testing and Reporting (STAR) Program
under policies set by the State Board of Education.
All questions on the California Standards Tests are evaluated by committees of content experts, including
teachers and administrators, to ensure their appropriateness for measuring the California academic content
standards in Algebra I. In addition to content, all items are reviewed and approved to ensure their adherence to
the principles of fairness and to ensure no bias exists with respect to characteristics such as gender, ethnicity,
and language.
This document contains released test questions from the California Standards Test forms in 2003, 2004, 2005,
2006, and 2007. First on the pages that follow are lists of the standards assessed on the Algebra I Test. Next are
released test questions. Following the questions is a table that gives the correct answer for each question, the
content standard that each question is measuring, and the year each question last appeared on the test.
The following table lists each reporting cluster, the number of items that appear on the exam, and the number
of released test questions that appear in this document. Some of the released test questions for Algebra I are
the same test questions found in different combinations on the Integrated Mathematics 1 and 2 California
Standards Tests and the Summative High School Mathematics California Standards Test.
NUMBER OF NUMBER OF
REPORTING QUESTIONS ON RELEASED TEST
CLUSTER EXAM QUESTIONS
Number Properties, Operations, and Linear Equations 17 22
Graphing and Systems of Linear Equations 14 16
Quadratics and Polynomials 21 25
Functions and Rational Expressions 13 17
TOTAL 65 80
In selecting test questions for release, three criteria are used: (1) the questions adequately cover a selection of
the academic content standards assessed on the Algebra I Test; (2) the questions demonstrate a range of
difficulty; and (3) the questions present a variety of ways standards can be assessed. These released test
questions do not reflect all of the ways the standards may be assessed. Released test questions will not appear
on future tests.
For more information about the California Standards Tests, visit the California Department of Education’s
Web site at http://www.cde.ca.gov/ta/tg/sr/resources.asp.
— 1 —
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright © 2008 California Department of Education.
CALIFORNIA STANDARDS TEST
Released Test Questions
Algebra I
THE NUMBER PROPERTIES, OPERATIONS, AND LINEAR EQUATIONS
REPORTING CLUSTER
The following 11 California content standards are included in the Number Properties, Operations, and Linear
Equations reporting cluster and are represented in this booklet by 22 test questions. These questions represent
only some ways in which these standards may be assessed on the Algebra I California Mathematics Standards
Test.
CALIFORNIA CONTENT STANDARDS IN THIS REPORTING CLUSTER
Algebra I
Standard Set 1.0 Students identify and use the arithmetic properties of subsets of integers
and rational, irrational, and real numbers, including closure properties for
the four basic arithmetic operations where applicable:
1.1 Students use properties of numbers to demonstrate whether assertions are true
or false.
2.0* Students understand and use such operations as taking the opposite, finding the
reciprocal, taking a root, and raising to a fractional power. They understand and
use the rules of exponents.
3.0 Students solve equations and inequalities involving absolute values.
4.0* Students simplify expressions prior to solving linear equations and inequalities in
one variable, such as 3(2x – 5) + 4(x – 2) = 12.
5.0* Students solve multistep problems, including word problems, involving linear
equations and linear inequalities in one variable and provide justification for
each step.
Standard Set 24.0 Students use and know simple aspects of a logical argument:
24.1 Students explain the difference between inductive and deductive reasoning and
identify and provide examples of each.
24.2 Students identify the hypothesis and conclusion in logical deduction.
24.3 Students use counterexamples to show that an assertion is false and recognize
that a single counterexample is sufficient to refute an assertion.
Standard Set 25.0 Students use properties of the number system to judge the validity of
results, to justify each step of a procedure, and to prove or disprove
statements:
25.1 Students use properties of numbers to construct simple, valid arguments (direct
and indirect) for, or formulate counterexamples to, claimed assertions.
25.2 Students judge the validity of an argument according to whether the properties
of the real number system and the order of operations have been applied
correctly at each step.
25.3 Given a specific algebraic statement involving linear, quadratic, or absolute value
expressions or equations or inequalities, students determine whether the
statement is true sometimes, always, or never.
* Denotes key standards
— 2 —
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright © 2008 California Department of Education.
CALIFORNIA STANDARDS TEST
Released Test Questions Algebra I
THE GRAPHING AND SYSTEMS OF LINEAR EQUATIONS REPORTING CLUSTER
The following four California content standards are included in the Graphing and Systems of Linear Equations
reporting cluster and are represented in this booklet by 16 test questions. These questions represent only some
ways in which these standards may be assessed on the Algebra I California Mathematics Standards Test.
CALIFORNIA CONTENT STANDARDS IN THIS REPORTING CLUSTER
Algebra I
6.0* Students graph a linear equation and compute the x- and y-intercepts (e.g., graph
2x + 6y = 4). They are also able to sketch the region defined by linear inequality
(e.g., they sketch the region defined by 2x + 6y < 4).
7.0* Students verify that a point lies on a line, given an equation of the line. Students
are able to derive linear equations using the point-slope formula.
8.0 Students understand the concepts of parallel lines and perpendicular lines and
how those slopes are related. Students are able to find the equation of a line
perpendicular to a given line that passes through a given point.
9.0* Students solve a system of two linear equations in two variables algebraically and
are able to interpret the answer graphically. Students are able to solve a system
of two linear inequalities in two variables and to sketch the solution sets.
* Denotes key standards
— 3 —
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected
based on performance on released test questions. Copyright © 2008 California Department of Education.
