ALGEBRA I. * The crossed-out portion of this standard is not assessed on the CAHSEE, but is still included in grade-level standards.

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Claire Shauna Horton
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1 Mathematics Released Test Questions LGER I The following ten alifornia mathematics academic content standards from the strand are assessed on the HSEE b test questions and are represented in this booklet b released test questions. These questions represent onl a few of the was in which these standards ma be assessed on the HSEE. Standard Set.0 Standard Set.0 Standard Set.0 Standard Set.0 Standard Set.0 Standard Set.0 Standard Set.0 Standard Set.0 Standard Set 0.0 Standard Set.0 LGER I Students understand and use such operations as taking the opposite, finding the reciprocal, and taking a root, and raising to a fractional power. The understand and use the rules of eponents.* Students solve equations and inequalities involving absolute values. Students simplif epressions before solving linear equations and inequalities in one variable, such as (-) + (-) =. Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. Students graph a linear equation and compute the - and - intercepts (e.g., graph + = ). The are also able to sketch the region defined b linear inequalit (e.g., the sketch the region defined b + < ).* Students verif that a point lies on a line, given an equation of the line. Students are able to derive linear equations b using the point-slope formula.* Students understand the concepts of parallel lines and perpendicular lines and how their slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point.* Students solve a sstem of two linear equations in two variables algebraicall and are able to interpret the answer graphicall. Students are able to solve a sstem of two linear inequalities in two variables and to sketch the solution sets. Students add, subtract, multipl, and divide monomials and polnomials. Students solve multistep problems, including word problems, b using these techniques. Students appl algebraic techniques to solve rate problems, work problems, and percent miture problems. * The crossed-out portion of this standard is not assessed on the HSEE, but is still included in grade-level standards. This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

2 alifornia High School Eit Eamination. If =, then = M0. The perimeter, P, of a square ma be found b using the formula P =, where is the area of the square. What is the perimeter of the square with an area of square inches? inches inches inches inches M000. If is an integer, what is the solution to <? { } {,,,0,} {} {, 0,,,} M00. If is an integer, which of the following is the solution set for =? { 0, } {, } {, 0,} { 0, }. What are all the possible values of such that 0 =.? 0. and 0. and. and. and M000 M 0. What is the reciprocal of a? a a a a M This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

3 alifornia High School Eit Eamination. Which of the following is equivalent to + + =? ( ) ( ) + 0 = + += + += + 0 = M0. Which of the following is equivalent to >? ( ) > > > > M0. Which of the following is equivalent to >? < > 0 > > 0 ( ) M0. Which equation is equivalent to + =? + = + = + = 0 + = 0 M 0 =. Which of the following is equivalent to the equation shown above? ( ) = 0 0( ) = ( ) ( ) 0= = + M00. Which equation is equivalent to + =( )? + = + = + = + = M0 This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

4 alifornia High School Eit Eamination 0. olleen solved the equation ( + ) = using the following steps. Given: ( + ) = Step : + 0= Step : = Step : = To get from Step to Step, olleen divided both sides b. subtracted from both sides. added to both sides. multiplied both sides b.. Solve for. <. <. < < ( ) < M0 M0. Which inequalit represents the solution >0? of ( ) > > 0 > 0 > ( ) ( ). What is the -intercept of the line =? (, 0 ) (, 0 ) (, 0) (, 0). What are the coordinates of the -intercept of the line + =? (, 0) (, 0) (, 0) ( 0), M0 M0 M0 This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

5 alifornia High School Eit Eamination. Which of the following is the graph of = +? 0 _ 0 _ 0 _ 0 _ M00 This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

6 alifornia High School Eit Eamination. What is the graph of the equation =? M This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

7 alifornia High School Eit Eamination. What is the -intercept of the line represented b the equation + =? M. Which of the following points lies on the line =? (, ) (, ) (, ) (, 0) 00. Which equation represents the line on the graph below? = + = + = + = M0 M0. Which of the following points lies on the line + = 0? (, 0) (, 0) ( ), (, ) M0 This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

8 alifornia High School Eit Eamination 0. What is the slope of a line parallel to the line = +? 0. Which of the following statements describes parallel lines? Same -intercept but different slopes Same slope but different -intercepts Opposite slopes but same -intercepts Opposite -intercepts but same -intercept 0. Which of the following could be the equation of a line parallel to the line =? M00 M0 = = + = + = M0 0 This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

9 alifornia High School Eit Eamination 0. What is the slope of a line parallel to the line below? M0 + = = 0. What is the solution to the sstem of equations shown above? (, ) (, ) (, ) (, ) = = 0. What is the solution of the sstem of equations shown above? (, ) (, ) (, 0) (, 0) M0 M0 This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

10 alifornia High School Eit Eamination 0. Which graph represents the sstem of equations shown below? = + = M This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

11 alifornia High School Eit Eamination 0. What is the -coordinate of the solution to the following pair of equations? + = =. Simplif M0 0. Simplif. ( + ) + + ( ) + + M0 M0. Mr. Jacobs can correct 0 quizzes in 0 minutes. His student aide can correct 0 quizzes in minutes. Working together, how man minutes will it take them to correct 0 quizzes? 0 0 M The length of the rectangle above is units longer than the width. Which epression could be used to represent the area of the rectangle? Ricardo runs 0 miles each Saturda. If he doubles his usual speed, he can run the 0 miles in one hour less than his usual time. What is his usual speed? miles per hour miles per hour miles per hour miles per hour M0 M000 This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

12 alifornia High School Eit Eamination. Yoshi has eactl one dollar in. student store sold a total of shirts dimes (0 cents) and nickels ( cents). for $0. The shirts sold were either red If Yoshi has twice as man dimes as or white. If the red shirts sold for $ nickels, how man nickels does she each and the white sold for $0 each, how have? man of each color of shirt were sold? 0 red white red white red M00 white red. iane delivers newspapers for $ a da 0 white plus $0.0 per newspaper delivered. Jerem delivers newspapers for $ a da plus $0.0 per newspaper delivered. How man newspapers would iane and Jerem each need to deliver in order to earn the same amount? 0 0 M M0 This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

13 alifornia High School Eit Eamination Question Number orrect nswer Standard School Year of Eam This is a sample of alifornia High School Eit Eamination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. opright 00 b the alifornia epartment of Education.

Introduction - Algebra I

Introduction - Algebra I LIFORNI STNRS TEST lgebra I Introduction - lgebra I The following released test questions are taken from the lgebra I Standards Test. This test is one of the alifornia Standards Tests administered as part