algebra 2 chapter 4mrssmithshs.weebly.com/uploads/2/1/2/4/21243226/...name: _ id: a 4 17. y...

Name: ________________________ Class: ___________________ Date: __________ ID: A

1

Algebra 2 Chapter 4

What is the graph of the function?

1. f(x) = 2x2

2. f(x) =1

3x

2

Graph each function. How is each graph a translation of f(x) = x2?

3. y = (x + 3)2

+ 4

____ 4. Identify the vertex and the axis of symmetry of the graph of the function y = 2(x + 2)2

− 4.

a. vertex: (–2, 4);

axis of symmetry: x = −2

b. vertex: (2, –4);

axis of symmetry: x = 2

c. vertex: (–2, –4);


d. vertex: (2, 4);


____ 5. Identify the maximum or minimum value and the domain and range of the graph of the function

y = 2(x + 2)2

− 3.

a. minimum value: 3

domain: all real numbers ≥ 3

range: all real numbers

b. maximum value: –3

domain: all real numbers ≤ −3

range: all real numbers

c. maximum value: 3

domain: all real numbers

range: all real numbers ≤ 3

d. minimum value: –3

domain: all real numbers

range: all real numbers ≥ −3

Name: ________________________ ID: A

2

____ 6. Which is the graph of y = −2(x − 2)2

− 4?

a. c.

b. d.

7. Use the vertex form to write the equation of the parabola. Then rewrite in standard form.

8. Suppose a parabola has vertex (–8, –7) and also passes through the point (–7, –4). Write the equation of the

parabola in vertex form.

Name: ________________________ ID: A

3

____ 9. Suppose a parabola has an axis of symmetry at x = −6, a maximum height of 6 and also passes through the

point (–5, 4). Write the equation of the parabola in vertex form.

a. y = −2(x − 6)2

+ 6 c. y = −2(x + 6)2

+ 6

b. y = (x + 6)2

+ 6 d. y = 2(x + 6)2

− 6

What are the vertex and the axis of symmetry of the equation?

____ 10. y = −2x2

+ 24x − 4

a. vertex: ( 6, 68)


c. vertex: ( 6, 68)


b. vertex: ( –6, 68)


d. vertex: ( –6, –68)

axis of symmetry: y = −6

What is the maximum or minimum value of the function? What is the range?

____ 11. y = 2x2

+ 28x − 8

a. minimum value: 7

range: y ≥ 7

c. minimum value: –106

range: y ≥ −106

b. minimum value: –7

range: y ≥ −7

d. minimum value: –106

range: y ≥ −7

What is the graph of the equation?

12. y = x2

− 4x + 5

13. y = −x2

+ 2x + 3

14. y = −2x2

+ 2x + 2

What is the vertex form of the equation?

____ 15. y = x2

− 2x + 8

a. y = (x + 1)2

+ 7 c. y = (x − 1)2

+ 7

b. y = (x + 1)2

− 7 d. y = (x − 1)2

− 7

____ 16. y = x2

+ 8x − 6

a. y = (x − 4)2

− 22 c. y = (x + 4)2

− 22

b. y = (x − 4)2

+ 22 d. y = (x + 4)2

+ 22

Name: ________________________ ID: A

4

____ 17. y = −x2

+ 2x − 8

a. y = (x − 1)2

+ 7 c. y = −(x + 1)2

+ 7

b. y = −(x − 1)2

− 7 d. y = (x + 1)2

− 7

18. You live near a bridge that goes over a river. The underneath side of the bridge is an arch that can be

modeled with the function y = −0.000495x2

+ 0.619x where x and y are in feet. How high above the river is

the bridge (the top of the arch)? How long is the section of bridge above the arch?

What is the equation, in standard form, of a parabola that models the values in the table?

____ 19.

x –2 0 4

f(x) –8.5 4.5 –53.5

a. y = −4.5x2

− 0.5x + 3.5 c. y = −3.5x2

− 0.5x + 4.5

b. y = 3.5x2

+ 0.5x − 4.5 d. y = −0.5x2

− 3.5x + 4.5

____ 20. A historian took a count of the number of people in a Gold Rush town for six years in the 1870’s.

Year 1870 1871 1872 1873 1874 1875 1876

Population 370 386 392 388 374 350 316

Find a quadratic function that models the data as a function of x, the number of years since 1870. Use the

model to estimate the number of people in the town in 1888.

a. P(x) = −x2

− 21x + 320; 124 people

b. P(x) = −5x2

+ 21x + 370; 272 people

c. P(x) = −5x2

+ 21x + 370; 218 people

d. P(x) = −x2

− 21x + 320; 88 people

Name: ________________________ ID: A

5

____ 21. The table shows a meteorologist's predicted temperatures for an April day in Washington D.C starting at 8

A.M. Use a quadratic model of this data to predict the high temperature for the day. At what time does the

high temperature occur?

Time Predicted

Temperature (oF)

8 A.M. 48.91

10 A.M. 60.04

12 P.M. 67.11

2 P.M. 70.11

4 P.M. 69.05

6 P.M. 63.92

a. The predicted high temperature is 79.22 degrees Fahrenheit occurring at 2:29 P.M..

b. The predicted high temperature is 70.22 degrees Fahrenheit occurring at 2:29 P.M..

c. The predicted high temperature is 70.22 degrees Fahrenheit occurring at 3:29 P.M..

d. The predicted high temperature is 79.22 degrees Fahrenheit occurring at 3:29 P.M..

____ 22. You threw a rock off the balcony overlooking your backyard. The table shows the height of the rock at

different times. Use quadratic regression to find a quadratic model for this data.

Time

(in seconds)

Height

(in feet)

0 16

1 36.3

2 47.2

3 48.7

4 40.8

5 23.5

a. −5.2x2

+ 24x − 12 c. −4.2x2

+ 26x − 20

b. −4.7x2

+ 25x − 16 d. −4.7x2

− 25x + 16

What is the expression in factored form?

23. x2

− 15x + 50

24. −x2

+ 4x + 32

What is the expression in factored form?

25. −10x2

− 15x

26. 2x2

+ 16x + 30

Name: ________________________ ID: A

6

27. −4x2

+ 8x + 32

28. 3x2

+ 26x + 35

29. 16x2

− 40x + 25

30. 25x2

− 9

31. Suppose you cut a square into two rectangles as shown below. Write an expression for the area of the square.

What are the solutions of the quadratic equation?

32. x2

+ 11x = −28

33. 3x2

+ 25x + 42 = 0

34. The function y = −16t2

+ 486 models the height y in feet of a stone t seconds after it is dropped from the

edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a

second.

35. The function y = −0.024x2

+ 0.55x models the height y, in feet, of your pet frog's jump, where x is the

horizontal distance, in feet, from the start of the jump. How far did the frog jump? How high did it go?

Round your answer to the nearest hundredth.

36. The function h = −10t2

+ 95 models the path of a ball thrown by a boy where h represents height, in feet, and

t represents the time, in seconds, that the ball is in the air. Assuming the boy lives at sea level where h = 0 ft,

which is a likely place the boy could have been standing when he threw this ball?

What is the solution of each equation?

37. 3x2

= 21

38. 108x2

= 147

Name: ________________________ ID: A

7

____ 39. A landscaper is designing a flower garden in the shape of a trapezoid. She wants the length of the shorter

base to be 3 yards greater than the height, and the length of the longer base to be 5 yards greater than the

height. For what height will the garden have an area of 360 square yards? Round to the nearest tenth of a

yard. (Recall the formula for the area of a trapezoid = A =1

2h b 1 + b 2ÊËÁÁ ˆ

¯˜̃

a. 17.1 yards c. 39.2 yards

b. 34.2 yards d. 152.6 yards

____ 40. The lengths of the sides of a rectangular window have the ratio 1.2 to 1. The area of the window is 1920

square inches. What are the dimensions of the window?

a. 40 inches by 57.6 inches c. 40 inches by 80 inches

b. 40 inches by 48 inches d. 43.82 inches by 43.82 inches

Solve the equation.

____ 41. x2

+ 18x + 81 = 25

a. 14, 4 c. 14, –14

b. –4, –14 d. –4, 4

____ 42. x2

− 8x + 16 = 16

a. –8, 8 c. 0, 8

b. –8, 0 d. 0, 0

Solve the quadratic equation by completing the square.

____ 43. x2

+ 10x + 14 = 0

a. −10 ± 6 c. 5 ± 6

b. 100 ± 11 d. −5 ± 11

____ 44. −3x2

+ 7x = −5

a.7

6 ±

109

6c.

7

3 ±

67

3

b. −7

3 ±

109

3d. −

7

6 ±

22

6

Rewrite the equation in vertex form. Name the vertex and y-intercept.

____ 45. y = x2

− 12x + 34

a. y = (x − 6)2

− 2

vertex: (6, – 2)

y-intercept: (0, 34)

c. y = (x − 12)2

+ 40

vertex: (–12, –2)

y-intercept: (0, –2)

b. y = (x − 12)2

− 2

vertex: (–12, –2)

y-intercept: (0, –2)

d. y = (x − 6)2

+ 70

vertex: (6, – 2)

y-intercept: (0, 34)

Name: ________________________ ID: A

8

Use the Quadratic Formula to solve the equation.

____ 46. −x2

+ 6x − 5 = 0

a. −5, −1 c. −5, 11

b. 1, 5 d. 2, 10

____ 47. −2x2

− 5x + 5 = 0

a. −5

2 ±

65

2c. −

4

5 ±

130

4

b. −5

4 ±

32

2d. −

5

4 ±

65

4

____ 48. 2x2

+ x − 4 = 0

a. −1

2 ±

33

4c. −

1

4 ±

33

4

b. −4 ±66

4d. −

1

2 ±

33

2

____ 49. −4x2

+ x = −4

a. 8 ±65

8c. 8 ±

130

8

b.1

4 ±

65

4d.

1

8 ±

65

8

____ 50. A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3

yards greater than the height and the longer base to be 7 yards greater than the height. She wants the area to

be 155 square yards. The situation is modeled by the equation h2

+ 5h = 155. Use the Quadratic Formula to

find the height that will give the desired area. Round to the nearest hundredth of a yard.

a. 320 yards c. 20.4 yards

b. 10.2 yards d. 12.7 yards

51. A park planner has sketched a rectangular park in the first quadrant of a coordinate grid. Two sides of the

park lie on the x- and y-axes. A trapezoidal flower bed will be bounded by the line y = x + 7, the x-axis, and

the vertical lines x = 1 and x = a , where a > 1. The area A of the trapezoid is modeled by

A =12

a2

+ 7a −152

. Assume that lengths along the axes are measured in meters. For what value of a will

the trapezoid have an area of 23 square meters? Use the Quadratic Formula to find the answer.

What is the number of real solutions?

____ 52. −x2

+ 9x + 7 = 0

a. one solution c. two solutions

b. no real solutions d. cannot be determined

Name: ________________________ ID: A

9

____ 53.

8x2

− 11x = −3

a. one real solution c. no real solutions

b. two real solutions d. cannot be determined

____ 54. x2

= −7x + 7

a. one solution c. two solutions

b. no real solutions d. cannot be determined

____ 55. −4x2

− 4 = 8x

a. one solution c. no real solutions

b. two solutions d. cannot be determined

____ 56. During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The

manufacturer of the machine recommends that the temperature of the machine part remain below 132°F. The

temperature T in degrees Fahrenheit x minutes after the machine is put into operation is modeled by

T = −0.005x2

+ 0.45x + 125. Will the temperature of the part ever reach or exceed 132°F? Use the

discriminant of a quadratic equation to decide.

a. no

b. yes

Simplify the number using the imaginary unit i.

____ 57. −144

a. 12 c. 12i

b. −12 d. 144i

58. −360

Simplify the expression.

____ 59. (3 + i) − (2 − 2i)

a. 1 + 3i c. 4i

b. 5 − i d. −1 − 3i

60. (i)(−7i)

61. (4 − i)(2 + 5i)

62. −2 + i

−4 − 5i

Name: ________________________ ID: A

10

What pair of factors should be used to find the complex solutions for x?

____ 63. 49x2

+ 36 = 0

a. (6x − 7i)(6x + 7i) c. (7x + 6i)(7x + 6i)

b. (6x + 7)(6x + 7) d. (7x + 6i)(7x − 6i)

____ 64. 16x2

+ 4 = 0

a. (4x + 2i)(4x + 2i) c. (4x + 2i)(4x − 2i)

b. (2x + 4)(2x + 4) d. (2x − 4i)(2x + 4i)

____ 65. Find the solutions of the equation.

1

2x

2− x + 5 = 0

a. 1 ± 9 i c. 1 ± 11 i

b. −1 ± 9 i d. −1 ± 11 i

Use graphing to find the solutions to the system of equations.

66. y = x

2+ 7x + 7

y = x + 2

Ï

Ì

Ó

ÔÔÔÔÔÔÔÔÔÔÔÔÔÔ

67. y = −x

2− 4x + 8

y = −x − 2

Ï

Ì

Ó


What is the solution of the linear-quadratic system of equations?

68. y = x

2+ 7x + 13

y = x + 5

Ï

Ì

Ó


69. y = x

2+ 3x − 1

y = x + 2

Ï

Ì

Ó


What is the solution of the quadratic system of equations?

70. y = x

2+ 18x + 35

y = −x2

+ 2x + 5

Ï

Ì

Ó

ÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔ

Name: ________________________ ID: A

11

What is the solution of the system of inequalities?

____ 71.

y ≥ x2

+ 2x + 2

y < −x2

− 4x − 2

Ï

Ì

Ó

ÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔ

a. c.

b. d.

ID: A

1

Algebra 2 Chapter 4

Answer Section

1. ANS:

PTS: 1 DIF: L2 REF: 4-1 Quadratic Functions and Transformations

OBJ: 4-1.1 To identify and graph quadratic functions

NAT: CC A.CED.1| CC F.IF.4| CC F.IF.6| CC F.IF.7| CC F.BF.3| G.2.c| A.2.d

TOP: 4-1 Problem 1 Graphing a Function of the Form f(x)=ax^2

KEY: graphing | quadratic functions

2. ANS:




TOP: 4-1 Problem 1 Graphing a Function of the Form f(x)=ax^2

KEY: graphing | quadratic functions

ID: A

2

3. ANS:

f(x) translated up 4 unit(s) and translated to the left 3 unit(s).




TOP: 4-1 Problem 2 Graphing Translations of f(x)=x^2

KEY: graphing | quadratic functions | translations

4. ANS: C PTS: 1 DIF: L3

REF: 4-1 Quadratic Functions and Transformations



TOP: 4-1 Problem 3 Interpreting Vertex Form

KEY: parabola | vertex form | vertex of a parabola | axis of symmetry

5. ANS: D PTS: 1 DIF: L3




TOP: 4-1 Problem 3 Interpreting Vertex Form

KEY: parabola | vertex form | minimum value | maximum value

6. ANS: A PTS: 1 DIF: L3




TOP: 4-1 Problem 4 Using Vertex Form KEY: parabola | vertex form | graphing | translation

7. ANS:

y = 3(x + 2)2

+ 2




TOP: 4-1 Problem 5 Writing a Quadratic Function in Vertex Form

KEY: parabola | equation of a parabola | vertex form

ID: A

3

8. ANS:

y = 3(x + 8)2

− 7





KEY: parabola | vertex form | quadratic function | equation






KEY: parabola | vertex form | quadratic function | equation


REF: 4-2 Standard Form of a Quadratic Function

OBJ: 4-2.1 To graph quadratic functions written in standard form

NAT: CC A.CED.2| CC F.IF.4| CC F.IF.6| CC F.IF.7| CC F.IF.8| CC F.IF.9| CC F.BF.1

TOP: 4-2 Problem 1 Finding the Features of a Quadratic Function

KEY: standard form | vertex of a parabola | axis of symmetry





TOP: 4-2 Problem 1 Finding the Features of a Quadratic Function

KEY: standard form | minimum value | maximum value

12. ANS:

PTS: 1 DIF: L2 REF: 4-2 Standard Form of a Quadratic Function



TOP: 4-2 Problem 2 Graphing a Function of the Form y=ax^2+bx+c

KEY: standard form

ID: A

4

13. ANS:





KEY: standard form

14. ANS:





KEY: standard form

ID: A

5





TOP: 4-2 Problem 3 Converting Standard Form to Vertex Form

KEY: standard form | vertex form







17. ANS: B PTS: 1 DIF: L3






18. ANS:

The bridge is about 193.52 ft above the river and the length of the bridge above the arch is about 1250.51 ft




TOP: 4-2 Problem 4 Interpreting a Quadratic Graph KEY: standard form


REF: 4-3 Modeling With Quadratic Functions

OBJ: 4-3.1 To model data with quadratic functions NAT: CC F.IF.4| CC F.IF.5| A.2.f

TOP: 4-3 Problem 1 Writing an Equation of a Parabola KEY: quadratic function | quadratic model




TOP: 4-3 Problem 2 Using a Quadratic Model

KEY: quadratic model | quadratic function | word problem | problem solving | multi-part question




TOP: 4-3 Problem 3 Using Quadratic Regression




TOP: 4-3 Problem 3 Using Quadratic Regression

ID: A

6

23. ANS:

(x − 5)(x − 10)

PTS: 1 DIF: L2 REF: 4-4 Factoring Quadratic Expressions

OBJ: 4-4.1 To find common and binomial factors of quadratic expressions

NAT: CC A.SSE.2| N.5.c| A.2.a TOP: 4-4 Problem 1 Factoring ax^2+bx+c when a=+/-1

KEY: factoring | quadratic expression

24. ANS:

−(x − 8)(x + 4)



NAT: CC A.SSE.2| N.5.c| A.2.a TOP: 4-4 Problem 1 Factoring ax^2+bx+c when a=+/-1

KEY: factoring | quadratic expression

25. ANS: −5x(2x + 3)



NAT: CC A.SSE.2| N.5.c| A.2.a TOP: 4-4 Problem 2 Finding Common Factors

KEY: factoring | greatest common factor

26. ANS: 2(x + 3)(x + 5)





27. ANS: −4(x − 4)(x + 2)





28. ANS: (3x + 5)(x + 7)



NAT: CC A.SSE.2| N.5.c| A.2.a TOP: 4-4 Problem 3 Factoring ax^2+bx+c when abs(a) not = 1

KEY: factoring

29. ANS:

(4x − 5)2


OBJ: 4-4.2 To factor special quadratic expressions NAT: CC A.SSE.2| N.5.c| A.2.a

TOP: 4-4 Problem 4 Factoring a Perfect Square Trinomial KEY: factoring | perfect square trinomial

ID: A

7

30. ANS:

(5x + 3)(5x − 3)



TOP: 4-4 Problem 5 Factoring a Difference of Two Squares KEY: difference of two squares | factoring

31. ANS:

x2

+ 2xy + y2



TOP: 4-4 Problem 5 Factoring a Difference of Two Squares KEY: identify ways to rewrite expressions

32. ANS:

–4, –7

PTS: 1 DIF: L2 REF: 4-5 Quadratic Equations

OBJ: 4-5.1 To solve quadratic equations by factoring

NAT: CC A.SSE.1.a| CC A.APR.3| CC A.CED.1| A.2.a| A.4.a| A.4.c

TOP: 4-5 Problem 1 Solving a Quadratic Equation by Factoring

KEY: Zero-Product Property

33. ANS:

–6, −7

3




TOP: 4-5 Problem 1 Solving a Quadratic Equation by Factoring

KEY: Zero-Product Property

34. ANS:

5.51 seconds




TOP: 4-5 Problem 4 Using a Quadratic Equation

35. ANS:

The frog jumped about 22.92 ft far and about 3.15 ft high.





ID: A

8

36. ANS:

a bridge





37. ANS:

7 , – 7

PTS: 1 DIF: L2 REF: 4-6 Completing the Square

OBJ: 4-6.1 To solve equations by completing the square NAT: CC A.REI.4.b| A.2.a| A.4.c| A.4.g

TOP: 4-6 Problem 1 Solving by Finding Square Roots

38. ANS:

−7

6,

7

6

PTS: 1 DIF: L3 REF: 4-6 Completing the Square


TOP: 4-6 Problem 1 Solving by Finding Square Roots

39. ANS: A PTS: 1 DIF: L3 REF: 4-6 Completing the Square


TOP: 4-6 Problem 2 Determining Dimensions

40. ANS: B PTS: 1 DIF: L3 REF: 4-6 Completing the Square


TOP: 4-6 Problem 2 Determining Dimensions

41. ANS: B PTS: 1 DIF: L3 REF: 4-6 Completing the Square


TOP: 4-6 Problem 3 Solving a Perfect Square Trinomial Equation

42. ANS: C PTS: 1 DIF: L2 REF: 4-6 Completing the Square


TOP: 4-6 Problem 3 Solving a Perfect Square Trinomial Equation

43. ANS: D PTS: 1 DIF: L3 REF: 4-6 Completing the Square


TOP: 4-6 Problem 5 Solving by Completing the Square KEY: completing the square



TOP: 4-6 Problem 5 Solving by Completing the Square KEY: completing the square


OBJ: 4-6.2 To rewrite functions by completing the square NAT: CC A.REI.4.b| A.2.a| A.4.c| A.4.g

TOP: 4-6 Problem 6 Writing in Vertex Form

46. ANS: B PTS: 1 DIF: L2 REF: 4-7 The Quadratic Formula

OBJ: 4-7.1 To solve quadratic equations using the Quadratic Formula

NAT: CC A.REI.4.b| A.2.a| A.4.c| A.4.e| A.4.f

TOP: 4-7 Problem 1 Using the Quadratic Formula KEY: Quadratic Formula

ID: A

9

47. ANS: D PTS: 1 DIF: L3 REF: 4-7 The Quadratic Formula




48. ANS: C PTS: 1 DIF: L3 REF: 4-7 The Quadratic Formula




49. ANS: D PTS: 1 DIF: L3 REF: 4-7 The Quadratic Formula







TOP: 4-7 Problem 2 Applying the Quadratic Formula KEY: Quadratic Formula

51. ANS:

110 − 7 meters, or about 3.49

PTS: 1 DIF: L4 REF: 4-7 The Quadratic Formula



TOP: 4-7 Problem 2 Applying the Quadratic Formula KEY: Quadratic Formula

52. ANS: C PTS: 1 DIF: L2 REF: 4-7 The Quadratic Formula

OBJ: 4-7.2 To determine the number of solutions by using the discriminant


TOP: 4-7 Problem 3 Using the Discriminant KEY: discriminant | Quadratic Formula





54. ANS: A PTS: 1 DIF: L2 REF: 4-7 The Quadratic Formula




55. ANS: A PTS: 1 DIF: L2 REF: 4-7 The Quadratic Formula







TOP: 4-7 Problem 4 Using the Discriminant to Solve a Problem

KEY: discriminant | Quadratic Formula

57. ANS: C PTS: 1 DIF: L2 REF: 4-8 Complex Numbers

OBJ: 4-8.1 To identify, graph, and perform operations with complex numbers

NAT: CC N.CN.1| CC N.CN.2| CC N.CN.7| CC N.CN.8| N.5.f| A.4.g

TOP: 4-8 Problem 1 Simplifying a Number using i KEY: imaginary number | imaginary unit

ID: A

10

58. ANS:

6i 10

PTS: 1 DIF: L2 REF: 4-8 Complex Numbers



TOP: 4-8 Problem 1 Simplifying a Number using i KEY: imaginary number | imaginary unit

59. ANS: A PTS: 1 DIF: L3 REF: 4-8 Complex Numbers



TOP: 4-8 Problem 3 Adding and Subtracting Complex Numbers

KEY: complex number

60. ANS:

7




TOP: 4-8 Problem 4 Multiplying Complex Numbers KEY: complex number

61. ANS:

(13 + 18i)




TOP: 4-8 Problem 4 Multiplying Complex Numbers KEY: complex number

62. ANS:

3

41−

14

41i




TOP: 4-8 Problem 5 Dividing Complex Numbers

KEY: complex number | complex conjugates

63. ANS: D PTS: 1 DIF: L2 REF: 4-8 Complex Numbers

OBJ: 4-8.2 To find complex number solutions of quadratic equations


TOP: 4-8 Problem 6 Factoring using Complex Conjugates KEY: complex conjugates

64. ANS: C PTS: 1 DIF: L2 REF: 4-8 Complex Numbers



TOP: 4-8 Problem 6 Factoring using Complex Conjugates KEY: complex conjugates

65. ANS: A PTS: 1 DIF: L3 REF: 4-8 Complex Numbers



TOP: 4-8 Problem 7 Finding Imaginary Solutions

KEY: complex number | imaginary number

ID: A

11

66. ANS:

(–5, –3)

(–1, 1)

PTS: 1 DIF: L2 REF: 4-9 Quadratic Systems

OBJ: 4-9.1 To solve and graph systems of linear and quadratic equations

NAT: CC A.CED.3| CC A.REI.7| A.4.a| A.4.d

TOP: 4-9 Problem 1 Solving a Linear-Quadratic System by Graphing

67. ANS:

(–5, 3)

(2, –4)





ID: A

12

68. ANS:

(–4, 1)

(–2, 3)





69. ANS:

(1, 3)

(–3, –1)





70. ANS:

(–3, –10)

(–5, –30)




TOP: 4-9 Problem 3 Solving a Quadratic System of Equations

71. ANS: C PTS: 1 DIF: L3 REF: 4-9 Quadratic Systems



TOP: 4-9 Problem 4 Solving a Quadratic System of Inequalities

ID: A Algebra 2 Chapter 4 [Answer Strip]

_____ 4.C

_____ 5.D

_____ 6.A _____ 9.C

_____ 10.C

_____ 11.C

_____ 15.C

_____ 16.C

_____ 17.B

_____ 19.C

_____ 20.C

_____ 21.B

_____ 22.B

ID: A Algebra 2 Chapter 4 [Answer Strip]

_____ 39.A

_____ 40.B

_____ 41.B

_____ 42.C

_____ 43.D

_____ 44.A

_____ 45.A

_____ 46.B

_____ 47.D

_____ 48.C

_____ 49.D

_____ 50.B

_____ 52.C

_____ 53.B

_____ 54.A

_____ 55.A

_____ 56.B

_____ 57.C

_____ 59.A

_____ 63.D

_____ 64.C

_____ 65.A

_____ 71.C

algebra 2 chapter 4mrssmithshs.weebly.com/uploads/2/1/2/4/21243226/...name: _____ id: a 4 ____ 17. y...

Documents

algebra 2 chapter 4mrssmithshs.weebly.com/uploads/2/1/2/4/21243226/...name: _ id: a 4 17. y...