ALLEN PARK HIGH SCHOOL F i r s t S e m e s t e r A s s e s s m e n t R e v i e w

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1 Algebra First Semester Assessment Review Winter 0 ALLEN PARK HIGH SCHOOL F i r s t S e m e s t e r A s s e s s m e n t R e v i e w A lgeb ra Page Winter 0 Mr. Brown

2 Algebra First Semester Assessment Review Winter 0 DIRECTIONS This section of test is 7 items, which you will work in this booklet. Mark the correct answer as directed by your teacher. You may use a calculator that has been approved by your teacher. Only your test booklet and calculator may be used; no other materials should be on your desk. Find the value of Evaluate ( a - y) + y if a = and y = Name all the sets of numbers to which -8 belong. integers integers and reals integers integers, rationals, reals Name the property illustrated in the equation n + (t + 8n) = (n = t) + 8n associative property of addition inverse property of addition distributive commutative property of addition Simplify (6 x + 9) - ( x - ). - 0x 6x -6x x Page

3 Algebra First Semester Assessment Review Winter 0 Pat s score on six weekly quizzes are 0, 8, 7, 9, 0, and 0. 6 What is the mode of the data? What is the median of the data? What is the mean of the data? Solve each equation. 9 y = (x ) = x + - x - = 9, 9 y = 7-7, - Page

4 Algebra First Semester Assessment Review Winter 0 Solve each inequality. -(r ) + 9 { r } { r } { r -} { r -} w - 7 { w } {- w } { w } {all reals} Which of the following is the solution set of x - 0 or - x >? { x or x < 7} {7 < x } {all reals} { } 6 Identify the graph of 8. > y Give the domain of h = {(0, 0), (, ), (,0)}, and tell if h is a function. {0,, 0}; h is a function {0,, 0}; h is not a function {0,, }; h is a function {0,, }; h is not a function 8 If f(x) = x - x -, find f(-). - - Page

5 Algebra First Semester Assessment Review Winter 0 9 Which equation is a linear equation? x y = y = x - x + xy = 60 x = y + 0 Write y + x + = 0 in standard form. x +y = - x + y + = 0 y = -x - y = - x - What is the slope of the line whose equation is x = - y? - - What is the y-intercept of the line whose equation is y = 7x -? - What is the x-intercept of the line whose equation is y = x + - What is the slope of the line passing through (0, ) and (8, 8)? 8-8 What is the standard form of the equation for a line that passes through (0, 7) and that has a slope of? y = -x y - 7= x x + y = 7 x + y = Page

6 Algebra First Semester Assessment Review Winter 0 6 What is the slope-intercept form for the equation of a line that passes through (0, 0) and is parallel to a line whose equation is x + y = 6? x + y = 0 y = x y = x y = - x 7 For which pair of equations are the lines perpendicular? y = x - and y = x + y = x + and y = x + y = -x + and y = x - y = -x + and y = x + Find the slope-intercept form for each graph described. 8 Slope = - and passes through (-, 0). y = x - y = -x x - y = y = - x - 9 Passes through (, -) and (0, ). y = x - y = x - y = - x - y = - x - 0 Find the graph of x - y = 0. Page 6

7 Algebra First Semester Assessment Review Winter 0 Find the graph of y = x +. Which inequality is graphed at the right? y x - y x - y > x - y < x - Which of the following systems is shown in the graph below? y + x = - y + x = y x = y + x = y - x = y - x = y x = y + x = Which expression can be substituted for y in the top equation of the system x - y = 8 x - y = system by substitution? to solve the y + - y x + x - 8 You want to eliminate x by addition in the system x - y =. If you multiply each side of the top x + y = 8 equation by, by which number would you multiply each side of the bottom equation? - - Page 7

8 Algebra First Semester Assessment Review Winter 0 6 What is the value of y equal in the solution of the system x - y = 7? x + y = What is the value of 8 9? Which expression represents y in the system? x + y = 9 x - y = Which system of inequalities is graphed? y > - y > - y - x + y - x + y - y > - y - x + y < - x + 0 A feasible region has vertices at (, ) (, ), and (, 6). The minimum value of the function f(x, y) = x y for this region? Which ordered triple is a solution of the system shown at the right? 7 x - y + z = - 6 x + y - z = 0 x - y + z = 8 (,, -) (-,, ) (-, -, 0) (,, ) Page 8

9 Algebra First Semester Assessment Review Winter 0 x + y + z = What does x equal in the solution of the system at the right? x - y - z = - x + y + z = 0 Name matrix N using its dimensions if N = x N N x N x N x What are the dimensions of - 6? x x x x Find Find What is the value of -? - - Page 9

10 Algebra First Semester Assessment Review Winter 0 8 Find the first row of What is the identity for a x matrix? If M x is multiplied by N x, what are the dimensions of the product? x x x x -7 What are the dimensions of the product shown at the right? x x x Not defined Find the first column of the inverse of For the set of data shown in the box-and-whisker plot, is the mean range median interquartile range If the augmented matrix for a system is. What is the system of equations? x + y = x + y = x + y = x - y = x + y = x + y = x + y = x - y = Page 0

11 Algebra First Semester Assessment Review Winter 0 The augmented matrix for a system is 0 0. What is the solution? (, ) (, ) (, ) (0, ) mt 6 Simplify mt mt 6. m t m t mt 7 Simplify 7 m m m m - m m - 0 m Simplify w m. m w m w m w w + m a ( r s) 9 Simplify a r s. a r s r as r as as r 60 Express 86,00,000 in scientific notation x 0 86 x x x 0 6 Simplify - i 7 + i. - i 9 - i 9-7i i 9 Page

12 Algebra First Semester Assessment Review Winter 0 6 Simplify ( - 7)( + 7) Factor each polynomial completely. 6 m + 9 m + 0 mm ( + 9) ( m+ )( m + ) ( m- )( m - ) prime 6 n + 0 n - ( n)( n ) ( n )(n - ) ( n)( n 6) ( n)( n 6) 6 b - b - 0 ( b + )( b + ) ( b - )( b - ) ( b - )( b + ) ( b + )( b - ) 66 Simplify n - v 67 Simplify. n - v n + v n - v n - v + nv - n v n - v n - n v + v n - v 68 Divide using long division: ( x + x - 7 x + x + ) ( x + x + ) x x + - x - + x + x + x - x + x x 6 x + + x x + x x + - x + x + Page

13 Algebra First Semester Assessment Review Winter 0 69 Solve x - - = Ø 70 Simplify - i. 0-6i 0-6i 7 Divide using synthetic division: ( x + 6 x + x - 6) ( x + ) x + x - x + - x + x + x - 8 x + x + x + x + x - 8 x + x + x - 8 x + If you finish early, you may go back and check your work. STOP Page STOP

Advanced Algebra II 1 st Semester Exam Review

dname Advanced Algebra II 1 st Semester Exam Review Chapter 1A: Number Sets & Solving Equations Name the sets of numbers to which each number belongs. 1. 34 2. 525 3. 0.875 4. Solve each equation. Check