2.Chapter2Test, Form I SCORE

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1 DATE 2.Chapter2Test, Form I SCORE Write the letter for the correct answer in the blank at the right of each question.. Find the domain of the relation {(, ), (, ), (2, )). Then determine whether the relation is a function. A (,, ; function C (,, 2; function B (,, ; not a function D (,, 2); not a function. 2. The table shows the annualized percent return of a mutual fund for several years. Find the range of the relation. Then determine whether the relation is a function. Year 3 5 loj Percent Return j F (2.9, 22.8, 2., 2.5; not a function H {, 3, 5, ); not a function G (2.9, 22.8, 2., 2.5; function J (, 3, 5, ); function 2. _!_ 3. Findf() iff(x) = 3z 5. A -9 B -8 C -2 D Find f() iff(t) = t2 2t 2. F2 G4 HO J Which equation is linear? 23x+ A xy=6 C y=x B 3x2y=5 Dy2+=x 6. Which function is a linear function? F f(x)=x 3+x g(s)=4s G h(t) = 2t + J f(r) = Write y 4x = 7 in standard form. A 4xy=7 B 4x+y=7 C y=4x+7 D 4x=y Find the xintercept of the graph of 5x + loy = 2. F2 G2 4 J Find the slope of the line that passes through (, 2) and (8, 8). A8 D 9.. If a line rises to the right, its slope is? F zero G positive H negative J undefined.. What is the slope of a line that is perpendicular to the graph of y = at + 5? A--- B C2 D Line a through (2, 3) is parallel to line b with equation y =. Which point below also lies on line a? F (2,9) G 5,3) H, ) J,4) 4 Chapter 2 63 Gloncoe Algebra 2

2 _-- and. _LLJ_ I DATE PERiOD 2 Chapter 2 Test, POI I c,ztiraited 3. Write an equation in slope-intercept form for the line that has a slope of A y=7x passes through O, 7). B y=7x4 C y=4x+7 4. Write an equation in slope-intercept form for the line that passes through (, ) and is perpendicular to the line whose equation is y = 2x. F y=-2x+l Gy=Zr+ Hy=--x+ D y=x+7 3. j y=x Use a scatter plot to draw a line of fit and then describe the correlation. A positive C no correlation B negative D random correlation xlo 258 L* 23 j26i The scatter plot shows the area of the floor and the price for certain tents. Which equation could be a prediction equation for this set of data? F y=x+5 H v=lox+25 G y=5x5 J v=x±22 7. A banquet hall has tables that can seat 8 people. The number of tables needed depends on the number of guests. What type of special function models this situation? A linear function B step function _L._ O ) Floor Area (ft C absolute value function D constant function x 6. 7 C, UT C) a. U a. 8. Identify the range of y = x. F all real numbers G {yjyo} 9. The graph of the linear inequality y 2x graph of the liney 2x. H {xjxo) J LvlY so) is the region? the A on or above B on or below C above D below Which inequality is F y(xi3 G y>xj3 graphed at the right? H ysxi3 J y<ixl a, a., I JJZLZi. P,/ 2. p Bonus Find the value of k so that the slope of the line through (, 2> and th, 3) is L4LL J B: Chapter 2 64 Giencoe Algebra 2

3 3x = y 3z 3 Chapter 3 Test, Form I SCORE Write the letter for the correct answer in the blank at the right of each question.. A system of linear equations may not have A exactly one solution. C infinitely many solutions. B no solution. D exactly two solutions.. Choose the correct description of each system of equations. F consistent and independent H consistent and dependent G inconsistent J inconsistent and dependent x+2y=6 3.3x+y=3 2xy=8 x2y=4 3._ 4. Which system of equations is graphed? 4 Y Ayx=O Cy3x= B y x_y_ xy_ = D y i 2 4. xy=2 xy=2 5i--H 5. Which system of inequalities is graphed? Y Fy> j>_ yx+l yx+ G Y J > yx+ y<x± 5 Use the system of inequalities y, x, and y 2x Find the coordinates of the vertices of the feasible region. A (, ), (2, ), (, 4) C (, ), (4, ), (, 2) B (, ), (2, ), (, 4) D (, ), (4, ), (, 2) 7. Find the minimum value of f(x,y) = 3x +y for the feasible region. F6 G4 H2 JO Find the maximum value of f(x, y) = 3x + y for the feasible region. A2 B4 C6 D What is the value ofy in the solution 2x + y + z = of the system of equations? 2x = 3 x2y4z= 2 Fb G8 H2 J5 9. JO. The 3 students at Holmes School work a total of 5 hours each month. Each student in group A works hours, each in group B works 5 hours, and each in group C works 2 hours each month. There are twice as many students in group B as in group A. Which equation would not be included in the system used to solve this problem? AA=2B C A+B+C=3 B OA + 5B + 2C = 5 D B = 2A. Chapter 3 63 Glencoe Algebra 2 6.

4 DATE PERiOD JEiaptariiest, Form I (continued) V For Questions 5, use the matrices to find the following. l & j the first row of 4S F [2 8 5 G [2 4 2 H [ J not possible. 2.thefirstrowof2P+2R A [8 3 B [4 3] C [6 4] D not possible the first row of SF F [2 4 2 G [23 2 H [53 27 J not possible the inverse of matrix R A P B Q C T D not possible the determinant of Q F 8 G4 H2 J Find the value of 32 A 3 87 C7 D Which expression is true for all matrices X2)<2, Y2>2, and scalars c? F c(x+y)=(y+k)c H XY=YX G c(xy) = (YK )c J c(xy) = c(x) c(y) Evaluate using diagonals. A2 B7 Cli D Cramer s Rule is used to solve the system of equations 2m + 3n = and 3m F 5n = 6. Which determinant represents the numerator for m? 2 G 2 3 H S 2. Which product would be used to solve the matrix equation 4 6 m = 4 by using inverse matrices? A B6.4 C! fl.,4 D o Bonus Find the value of a b Ic a b C. Chapter 3 64 Glencoe Algebra 2 B:

5 DATE PERIOD _ - * 4 Chapter 4 Test, Form I SCORE C C 8 a C-, a, C z C-, UC CI, -C OC 8 Write the letter for the correct answer in the blank at the right of each question.. Find the y-intercept for f(x) (x + )2. Al Bi Cx DO. 2. What is the equation of the axis of symmetry of y = 3(x + 6)2 + 2? Fx=2 Gx=6 H x=6 Jx=8 3. The graph of f(x) = _2 + x opens A down; maximum B down; minimum 4. The related graph of a quadratic equation is shown a the right. Use the graph to determine the solutions of the equation. F 2,3 H 3,2 G O,6 J,2 5. The quadratic function f(x) = x2 has A no zeros B exactly one zero 6. Solve x2 = by factoring. and has a value. C up; maximum D up; minimum 3. r-l 2 I LL 4 L2 /, -ti_,_ H- -i-- C exactly two zeros 3x F (5, 2} G (2, 5) H (2, 5) 7. Which quadratic equation has roots 2 and 3? A x2 + x + 6 = B x2 x 6 = 8. Simplify (5 + 2i)( + 3i). F5+6i G-l D more than two zeros 5. Cx26x+l=O Dx2+x6=O J, 9. ELECTRICITY The total impedance of a series circuit is the sum of the impedances of all parts of the circuit. A technician determined that the impedance of the first part of a particular circuit was 2 + 5j ohms. The impedance of the remaining part of the circuit was 3 What was the total impedance of the circuit? A 5 + 3j ohms C + 7j ohms B 5 + 7j ohms D 6 + ilj ohms 2] ohms.. To solve x2 + 8x + 6 = 25 by using the Square Root Property, you would first rewrite the equation as F (x+4) 2=25 Hx2+8x9= G (x+4) II l + 7i 2=5 Jx2+8x= J + l7i Chapter 4 (3lencoe Algebra 2

6 D y (x 4)(x 3x - _ DATE PERIOD.4 i Chapter 4 TESt, Fonn I (continued). Find the value of c that makes x2 + lox + c a perfect square. A B25 do D The quadratic equation x2 + 6x = is o be solved by completing the square. vvhich equation would be the first step in that solution? Fx2+6xl=O Hx 2±6x+36=+36 G x(x+6)= Jx2+6x+9=+9 3. Find the exact solutions to x2 A + = by using the Quadratic Formula. -3± 3±JTi -3± JTi 3±f 2 B 2 2 For Questions 4 and 5, use the value of the discriminant to determine the number and type of roots for each equation..x23x+7= D 2 2. F 2 complex roots 2 real, irrational roots G 2 real, rational roots J real, rational root 5. x=4x4 A 2 real, rational roots B 2 real, irrational roots C real, rational root 4. D no real roots What is the vertex ofy = 2(x 3)2 + 6? F (3, 6) G (3, 6) H (3, 6) J (3,6) What is the equation of the axis of symmetry of y = 3(x + 6)2 +? A x=2 B x=6 Cx=3 D x= Which quadratic function has its vertex at (2, 3) and passes through (,? F y=2(x2+3 H y=3(x+2) G y=3(x2) Jy=2(x2) Which quadratic inequality is graphed - at the right? - y A y(x+) 2+4 tt2 B y(x+) 2+4. C y(x) 2. Solve (x 2+4 ) ). F {x!x2orx} G (xi2x4} -4-2 rir I2 H x4x2} \2 4XF J xx = 2 orx = 4} I Bonus Find the x-intercepts and the yintercept of the graph ofy = 2(x 4)2 8. B: Chapter 4 3/encoe l*/qebra 2 64

7 H 2x 35) ). 4x -- DATE PERiOD 5 Chapter 5 Test, Form SCORE Write the letter for the correct answer in the blank at the right of each question. 4). 2(2x. Simplify (3x ) A x4 B 2x 4 C 8x 6 D 8x 4._z 2. Simplify--. Assume that no variable equals. F - by 4 5yz J 55 a 3. Shen is simplifying the expression (3x following shows the correct product? A3x 6x 8+4x 26x 44x 4 + 4x2)(x 2 2x Which of the 64xr+x 2 7+6x 4+4x 2 C3x B3x 2 D3x 6+4xx 76x 44x 8llx +4x 2 3._z 26x 64x Simpit (5rn 9) + (4in + 2). F 9m G in 2 5. Simplify 3x(2x y). H 9rn 7 J 2rn A 5x3+3xy B 2xy C 6x23v D 6x33xy Simplify (x2 (x + 5). F x2x 3 H x7 3+3x G x+5 Jx: 7. Which represents the correct synthetic division of (x2 2_45x_ ) (x A J 4 7 C j )? B D Factor n2 + 9m + 4 completely. F m(rn + 23) II (in ± 4gm + ) G (in + 7)(rn + 2) J mn in ± 9) Simplify Assume that the denominator is not equal to. A t5 B t2 C /3 D t Chapter 5 6 Clencoe Algebra 2

8 _ For Questions 2 and 3, use the graph shown at the right. lix 3 DATE PERIOD 5. fchapter 5 Test, Form I (continued). Find p(3) ifp(x) 4 x. F2 G4 Hi J7.. State the number of real zeros for the function whose graph is shown at the right. A C2 8 D3 H. 2. Determine the values of x between which a real zero - is located. - ZZE F between and I - G between 6 and 7 t I H between 2 andi -2 - J between 2 and 3 to 4X Estimate the x-coordinate at which a relative minimum occurs. :.E--:-- : expressionx 4 + 5x2 Sin quadratic form, if possible. ) A 3, 2, 2,3 9, 4, 4, 9 C 2, 3, 2i, 3,,ZD 2, 3, 2i, Use synthetic substitution find fi3) for fix) = xv + 5. F 23 G 6 H * J One factor of x + 4x2 3 is x Find the remaining factors. A x5,x+3 B x_3,xv x6,x+5 D x5,x Which describes the numbe type of roots the equation 4x + 7 =? F I imaginary root H real ot and imaginary root G 2 real roots J real root Which is not of the equation x lox 8 =? Al,,// B4 C-2 Dl Find the rational zeros of p(x) = i2x 6. G 2,4 H 4 J _2\ 2. Uonus Find the value of k so that r / (3 2x x divides 2 + 9x - k with no remainder. B: Chaoter S