HUSD High School Algebra 1 Final Exam 1st Sem. Study Guide ( )
HUSD High School Algebra 1 Final Exam 1st Sem. Study Guide ( )
HUSD High School Algebra 1 Final Exam 1st Sem. Study Guide ( )
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<strong>HUSD</strong> <strong>High</strong> <strong>School</strong> <strong>Algebra</strong> 1<strong>Final</strong> <strong>Exam</strong> 1 st <strong>Sem</strong>. <strong>Study</strong> <strong>Guide</strong>1 <strong>Exam</strong>ples:Solving an Equation:a)4x + 3 = 2x + 44x + 3 − 3 = 2x + 4 − 34x = 2x +14 x − 2x = 2x +1− 2x2x =12x2 = 1 21´ Practice:Solve the Equations:1) 72= x + 1132) 6y +12 − 8y =163) 3− (−4x) = 5 + 3(x + 2)b)x = 1 22(x − 5) − (3x − 2) =102(x) − 2(5) − 3x + 2 =102x −10 − 3x + 2 =10− x − 8 =10− x − 8 + 8 =10 + 8− x =18x = −185.04) −2w = 1 (30 + 9w)32 <strong>Exam</strong>ple:Solving an Inequality:2´ Practice:Solve the Inequalities:2( x − 5)− 3x≤ −42x−10− 3x≤ −4− x −10≤ −4− x −10+ 10 ≤ −4+ 10− x ≤ 6x ≥ −65) 4t+ 5 ≥ 376) − 3( y − 3) < −y−107) − 1 2 x + 3 < −95.0Page 1 of 4 MDC@ACOE (<strong>HUSD</strong>) 12/3/09
<strong>HUSD</strong> <strong>High</strong> <strong>School</strong> <strong>Algebra</strong> 13 <strong>Exam</strong>ples:Exponentsa) b)b= b= b⋅ b3 43+47c) d)5yz−2 −3= 5⋅ 1 ⋅12 3y z5=y z2 32 −16x y32xy2( 3x 5 y) 2−2 3 x y= 2⋅ 3 2 ⋅ ( x 5) 2 ⋅ y 2= ⋅ ⋅ ⋅2= 2⋅ 9⋅ x 10 ⋅ y 21 −4= 3⋅x y=18x 10 y 2 3x=4y2 1 −1−3<strong>Final</strong> <strong>Exam</strong> 1 st <strong>Sem</strong>. <strong>Study</strong> <strong>Guide</strong>3´ Practice:Simplify the expressions:8) n 2 ⋅ n ⋅ n 59) 2xy 2 ⋅ 3x 3 y 310) 4x 2 y −411) 3(−2x 4 y) 312)13)810x y3 524x y z(4a 3 b 8 )(6a 4 b 2 )−12a 5 b 62.04 <strong>Exam</strong>ples:Simplify the Polynomial:a)(14v 3 − 4v 2 − 3) − (−v 4 + 9v 2 + v − 5)=14v 3 − 4v 2 − 3 + v 4 − 9v 2 − v + 5=14v 3 − 4v 2 − 3 + v 4 − 9v 2 − v + 5= v 4 +14v 3 −13v 2 − v + 24´ Practice:Simplify the Polynomials:14) ( 5v 2 − 3v − 8) − ( 4v + v 2 −11)[ ] + [ 2( y −1) + 7]15) 3( y + 5) − 6b)( 3x 2 y − 5xy 2 −1) − ( −2xy 2 + x 2 y − 9)= 3x 2 y − 5xy 2 −1+ 2xy 2 − x 2 y + 9= 3x 2 y − x 2 y − 5xy 2 + 2xy 2 −1 + 9= 2x 2 y − 3xy 2 + 810.0Page 2 of 4 MDC@ACOE (<strong>HUSD</strong>) 12/3/09
<strong>HUSD</strong> <strong>High</strong> <strong>School</strong> <strong>Algebra</strong> 1<strong>Final</strong> <strong>Exam</strong> 1 st <strong>Sem</strong>. <strong>Study</strong> <strong>Guide</strong>5 <strong>Exam</strong>ples:Multiply:a)6x(x 2 − 3x + 8)= 6x(x 2 ) − 6x(3x) + 6x(8)= 6x 3 −18x 2 + 48x5´ Practice:Multiply:16) 3x(4x 2 − x + 5)17) (2x +1) 2b)(4 x − 3) 2= (4 x − 3)(4x − 3)= 4x(4x) + 4x(−3) − 3(4x) − 3(−3)=16x 2 + (−12x) −12x − (−9)=16x 2 − 24 x + 918) (n − 2)(4n + 3)19) ( c − 3) ( 4c + 3)20) (4 x + 7)(4x − 7)c)(2x + 5)(3x − 7)= 2x(3x − 7) + 5(3x − 7)= 2x(3x) − 2x(7) + 5(3x) − 5(7)= 6x 2 −14x +15x − 35= 6x 2 + x − 3510.0Page 3 of 4 MDC@ACOE (<strong>HUSD</strong>) 12/3/09
<strong>HUSD</strong> <strong>High</strong> <strong>School</strong> <strong>Algebra</strong> 16 <strong>Exam</strong>ples:Factor:a)144 − 25t 2( ) 2 − ( 5t) 2( )( 12 − 5t)= 12= 12 + 5t<strong>Final</strong> <strong>Exam</strong> 1 st <strong>Sem</strong>. <strong>Study</strong> <strong>Guide</strong>6´ Practice:Factor:21) x 8 − 8122) 4z 5 −100z 3b)5x 5 − 80x( )= 5x x 4 −16[ ]= 5x ( x 2) 2 − 4 2( )( x 2 − 4)( )( x 2 − 2 2)( ) x + 2= 5x x 2 + 4= 5x x 2 + 4= 5x x 2 + 4( )( x − 2)23) 36n 2 + 24n + 424) 6x 2 −15x − 3625) 8y 2 −10y − 3c)9y 2 −12y + 4( ) 2 −12y + 2 2( )( 3y − 2)= 3y= 3y − 2= ( 3y − 2) 2d)6w 2 + 4w −10( )= 2 3w 2 + 2w − 5( )( w ± __)( )( w −1)= 2 3w ± __= 2 3w + 511.0End of <strong>Study</strong> <strong>Guide</strong>Page 4 of 4 MDC@ACOE (<strong>HUSD</strong>) 12/3/09
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