WJCC School Closure Extended Learning Algebra II · SOL G.1a Khan Academy Video Algebraic solutions...

WJCC School Closure Extended Learning Algebra II

Dear WJCC Families,

This packet contains activities, resources and information to extend learning for your child during this extended school closure.

Additional resources may be posted on Student VUE for this course and other classes on your child’s schedule. Students are encouraged to check Student VUE during this time.

Thank you for your partnership and support of WJCC Schools.

Sincerely, WJCC Staff

Activity 1 Activity 2 Activity 3 Activity 4

Khan Academy Video Find the solution to an equation with rational expressions

Choose 1 Activity

1. IXL SOL AII.3c – 90 SmartScore CHP

2. Paper/Pencil ActivitySOL AII.3c

Khan Academy Video Find the solution to an equation with radical expressions

Choose 1 Activity

1. IXL SOL AII.3d – 90 SmartScore EHE

2. Paper/Pencil ActivitySOL AII.3d

Khan Academy Video Factor a polynomial(cubic)

Choose 1 Activity

1. IXL SOL AII.1c – 90 SmartScore NJV


Khan Academy Video Finding the solutions of quadratics

Choose 1 Activity

1. IXL SOL AII.3b – 90 SmartScore FG7

2. Paper/Pencil ActivitySOL AII.3b

Activity 5 Activity 6 Activity 7 Activity 8

Khan Academy Video Solving absolute value equations

Choose 1 Activity

1. IXL SOL A2.3a – 90 SmartScore 2JZ

2. Paper/Pencil ActivitySOL G.1a

Khan Academy Video Algebraic solutions to non‐linear systems of equations

Choose 1 Activity

1. IXL SOL AII.4 – 90 SmartScore GCC

2. Paper/Pencil ActivitySOL AII.4

Khan Academy Video Add or subtract complex numbers

Choose 1 Activity

1. IXL SOL A2.2 – 90 SmartScore JVF

2. Paper/Pencil ActivitySOL A2.2

Khan Academy Video Factor polynomials by patterns

Choose 1 Activity

1. IXL SOL AII.1c – 90 SmartScore A2W


Activity 9 Activity 10

Khan Academy Video Simplify using rational exponents

Choose 1 Activity

1. IXL SOL AII.1b – 90 SmartScore 2VX


Khan Academy Video Determine the intervals where functions increase and decrease

Choose 1 Activity

1. IXL SOL AII.7b – 90 SmartScore 2YT


Algebra II Formula Sheet2016 Mathematics Standards of Learning

Geometric Formulas:

b

h

A bh12

l

w

p l

A lw

2 2

ac

b

a b c2 2 2

Quadratic Formula:

, wherebb acxa

2 42

2 0 and 0ax bx c a−

w

Statistics Formulas:

Given:represents an element of the data set,x

represents the mean of the data set,represents the standard deviation of the data set, and

represents the i element of the data set,xrepresents the number of elements in the data set,n

μσ

represents the variance of the data setσ 2

thi

z-score:x

zμσ−

standard deviation:

n

ii

x

n=

−∑ 2

1( )μ

σ

variance ( )

n

ii

x

n=

−∑ 2

1( )μ

σ 2

Copyright ©2018 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 23218-2120. All rights reserved. Except as permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrievalsystem, without written permission from the copyright owner. Commonwealth of Virginia public school educators may reproduce any portion of this mathematics formula sheet for non-commercial educational purposes without requesting permission. All others should direct their written requests to the Virginia Department of Education, Division of StudentAssessment and School Improvement, at the above address or by email to [email protected].

Algebra II Formula Sheet2016 Mathematics Standards of Learning

Sequence and Series Formulas:

Given:represents the value of nth termrepresents the sum of first n termsrepresents the sum of an infinite geometric series

anSnS�

d represents the common differencer represents the common ratio

Arithmetic Geometric

na a n1 ( 1)− d nna a r 1

1

r

nna a d1 nna a r1

n )nnS a a1(2

n

na rS r

r1(1 ) , 1(1 )−−

1S 2 1a nnn −2

d aSr

1 ,(1 )� −

1

Permutations andCombinations Formulas:

If n and r are positive integers and n r,

P nn rn r

!( )!−

C nn rr n r

!!( )!−

Copyright ©2018 by the Commonwealth of Virginia, Department of Education, P.O. Box 2120, Richmond, Virginia 23218-2120. All rights reserved. Except as permitted by law, this material may not be reproduced or used in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage or retrievalsystem, without written permission from the copyright owner. Commonwealth of Virginia public school educators may reproduce any portion of this mathematics formula sheet for non-commercial educational purposes without requesting permission. All others should direct their written requests to the Virginia Department of Education, Division of StudentAssessment and School Improvement, at the above address or by email to [email protected].

3/12/2020 https://va-wjccp.edupoint.com/gb_PrintAssessment.aspx?assessmentid=384

https://va-wjccp.edupoint.com/gb_PrintAssessment.aspx?assessmentid=384 1/5

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SOL A2.3c - Algebra 2 Formative Assessment

Question #1

Question #2

The graph of is shown below.

What is the solution to

A B

C D

What is the value of x when ?

A B

4C 11D



Question #3

An incorrect solution to the rational equation is shown.

Identify the error and explain what should have been done.



Question #4

Question #5

Zoe solved the following equation and determined that 3 and – 5 are the two possible values for x.

Which of the possible solutions are valid?

A solution of 3 is the only validvalue for x.

A A solution of – 5 is the only validvalue for x.

B

Both 3 and – 5 are valid values forx.

C Neither 3 nor – 5 are valid valuesfor x.

D

What is the value of x when ?

1A B

C 4D



Question #6

Question #7

The graph of is shown below.

What is the solution to the inequality

A B

C D

Which statement is true regarding the equation

The equation is always true.A The equation is always true, exceptwhen x = 7.

B

The equation is never true.C The equation is true only forpositive values of x.

D



Question #8

Question #9

Question #10

Which value(s) of x satisfy the equation

A B

all real number values for xC no real number values for xD

Given the equation which of the following statements is true?

The equation is true when A The equation is true when B

The equation is true for all realnumbers.

C The equation is not true for anyreal number.

D

Solve

A B

C D



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SOL A.3d - Algebra 2 Formative Assessment

Question #1

Question #2

What is the value of x in the following equation?

–7A –1B

4C 7D

In the equation which of the following about the value of x is true?

A B

x can be any real numberC x cannot be a real numberD



Question #3

Question #4

Question #5

The line on the graph represents


– 7A – 3B

2C 5D

What value of x solves the equation?

Which of the following equations is equivalent to

A B

C D



Question #6

Question #7

If what is the value of x?

A B

C D

The following graph represents

What is the value of x when y = 0?

– 1A 0B

1C no real solutionD



Question #8

Question #9

Question #10

What value of x is the solution to this equation?

3A 5B

21C 23D

What is the solution set for the equation

A B

C D

What is the value of b in

1A 4B

16C 48D



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Question #1

Question #2

Question #3

Which expression is equivalent to

A B

C D

Which of the following is equivalent to the expression

A B

C D

Which expression represents factored completely?

A B

C D



Question #4

Question #5

Question #6

Question #7

Which expression shows written in factored form?

A B

C D

What is in factored form?

A B

C D

Which expression shows the factorization of using the GCF?

A B

C D

Which of the following is an equivalent expression of

A B

C D



Question #8

Question #9

Question #10

What is the greatest common factor of and

A B

C D

Which binomial is a factor of

A B

C D


A B

C D



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SOL A2.3b - Algebra 2 Formative assessment

Question #1

Question #2

Myra’s tutor used these steps to solve the problem

• Divide both sides by 10 to get • Take square roots on both sides to get

Using this method, what is the solution to

A B

C D

What are the two roots of

A B

C D



Question #3

Question #4

Elise solved the quadratic equation by completing the square. The first two steps of hersolution are shown.

___________

What should be Step 3 in solving the equation by completing the square?

A B

C D

A ball is thrown in the air. The relationship between the amount of time the ball is in the air in seconds(t) and the ball’s distance above the ground in feet (h) is represented by the equation below.

How many seconds will it take for the ball to hit the ground?

A B

2C 4D



Question #5

Question #6

Question #7

Which expression shows a correct use of the quadratic formula to solve the equation

A B

C D

Use the quadratic formula to solve

and A B

C D

What are the complex solutions to the following equation?

A B

C D



Question #8

Question #9

Question #10

An equation in the form is solved by the quadratic formula. The solution to theequation is shown below.

What are the values of a, b and c in the quadratic equation?

a = 1, b = 5, c = 3A a = 1, b = −5, c = 3B

a = 2, b = −5, c = 3C a = 2, b = 5, c = 3D

What is the next step in the solution to this quadratic equation?

A B

C D

The area of a rectangle can be represented by the expression If the area of the rectangle is69 square inches, what is the value of x, the width of the rectangle, in inches?

3 inchesA 4 inchesB

5 inchesC 6 inchesD



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SOL A2.3a - Algebra 2 Formative Assessment

Question #1

Question #2

Question #3

Which graph represents the solution to the inequality

A B

C D

What are all the values for q that will make this equation true?

onlyA onlyB

and 6C 2 and D

What is the solution of the inequality?

A B

or C D



Question #4

Question #5

Which of the following is the graph of

A B

C D

What is the solution of this absolute value inequality?

A B

C D



Question #6

Question #7

At the Belford Graphic Company, the average starting salary for a new graphic designer is $32,500, butthe actual salary could differ from the average by as much $2,600. The actual starting salary, x, can berepresented using the inequality What is the highest starting salary that can beexpected for a graphic designer?

$29,900A $30,000B

$35,000C $35,100D

If which of the following number lines shows the graph of all possible values of x?

A B

C

D



Question #8

Question #9

The graphs of and are shown below.

What is the solution to the absolute value inequality

A B

C D

Which graph represents the solution to the inequality

A B

C D



Question #10

If K is a real number and which statement is true?

K must be positive.A K must be negative.B

K must be between and 4.C K must be less than or greaterthan 4.

D



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SOL A2.4 - Algebra 2 Formative Assessment

Question #1

Question #2

What are the solutions to the following system of equations?

A B

C D

The ratio of the sides of a rectangle is 4:3. The area of the rectangle is 192 square inches. What is theperimeter of this rectangle?

12 inchesA 56 inchesB

144 inchesC 256 inchesD



Question #3

The graphs of and are shown below.

Which statement explains the reason is a solution?

At the functions both have x-and y-values.

A The domain and range of and are the same.

B

when C and intersect in the firstquadrant.

D



Question #4

The system of equations below represents the perimeter and the area of a square with a side length of x.

If the values for x are found to be 0 and 4, which statement BEST describes the reasonableness of thesesolutions?

There is no solution to this systemsince a square cannot have aperimeter equal to its area.

A The only reasonable solution is4 because a square cannot have aside with a length of 0.

B

The only reasonable solution is 0since both graphs pass through theorigin.

C Both are reasonable since (0, 0)and (4, 16) satisfy both equations.

D



Question #5

The graphs of are shown below.


A B

no solutionC all real numbersD



Question #6

Question #7

A system of equations is shown below.

Which statement about this system of equations is true?

Both solutions lie in Quadrant I.A Both solutions lie in Quadrant II.B

The solutions lie in Quadrants Iand II.

C The solutions lie in Quadrants IIIand IV.

D

A student created a design on graph paper in which line segments will pass through the center of acircle. One of the line segments will pass through the points (–3, –3) and (3, 3), as shown below.

What are the coordinates of the points at which the line segment will intersect the circle?

A B

C D



Question #8

Question #9

Keiko determined that the coordinate points (–4, 0), (–3, –1), and (2, –6) are solutions to the followingsystem.

Which coordinates from the solution set are reasonable solutions to the system of equations?

(–4, 0) onlyA (2, –6) and (–4, 0)B

(–4, 0) and (–3, –1)C None of the coordinate points arereasonable solutions.

D

Which solution is a valid solution in the system below?

(2, 0)A (4, 4)B

(1, – 2)C (– 2, – 8)D



Question #10

Jesse solved the system of equations in six steps as shown below.

Step 1: Step 2: Step 3: Step 4: Step 5: Step 6:

When Jesse compared his work to the graph of the system, he realized that he only found one solution.Which is the first step in Jesse’s work that should be corrected to reveal the second solution?

Step 2A Step 3B

Step 4C Step 5D



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SOL A2.2 -Algebra 2 Formative Assessment

Question #1

Question #2

Which point represents (2 + 3i) + (–1 + 3i) in the graph below?

Point AA Point BB

Point CC Point DD

Which value is equivalent to ?

A B

C D



Question #3

Question #4

Question #5

Question #6


A B

C D


A B

C D

The quotient will simplify to the complex number . What is the value of b?

An imaginary number is usually denoted with the letter i. What is the value of i ? 2



Question #7

Question #8

Question #9

Question #10

–37A –35B

35C 37D

Select all expressions that can be simplified to 12.

i(–12i)A (–3i)(–4i)B

C D

E

Select all expressions that are equivalent to –15 + 27i.

–3(5 – 9i)A 3i(9 + 5i)B

9(3i) + 15iC 2 5i(3i) + 3(9i)D

9i + 3i(6 + 5i)E

Select the correct option from the menu.

The product of 5 – 6i and 2 + i is 4 – 7i 7 – 5i 4 + 17i 16 – 7i 4 – 7i 7 – 5i 4 + 17i 16 – 7i .



_____________________________________________________________________


Question #1

Question #2

Question #3

Question #4


A B C D

Which of the following is equivalent to the expression

A B C D

Which expression represents factored completely?

A B C

D

Which expression shows written in factored form?

A B C D



Question #5

Question #6

Question #7

Question #8

Question #9

What is in factored form?

A B C D

Which expression shows the factorization of using the GCF?

A B C

D

Which of the following is an equivalent expression of

A B C D

What is the greatest common factor of and

A B C D

Which binomial is a factor of

A B C D



Question #10


A B C D



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SOL A2.1b - Algebra 2 Formative Assessment

Question #1

Question #2

Question #3

Which expression is equivalent to ?

A B

C D

Which irrational number is the same as

A B

C D

What is the simplest form of

A B

C D



Question #4

Question #5

Question #6


A B

C D

Sonia knows that the cube root of can be written as . Which is the BEST explanation of why that is

true?

Since .A Since .B

Since , .

C Since , .

D

What is the value of

A B

C D



Question #7

Question #8

Question #9

Which expression is equivalent to ?

A B

C D

Which irrational number is the simplest form of

A B

C D

What is the value of

A B

C D



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SOL A2.7a - d - Algebra 2 Formative Assessment

Question #1

Question #2

Question #3

Which function f(x) increases on the interval but decreases on the interval ?

A B

C D

What is the domain of ?

A B

C D

What is the range of

A B

C D



Question #4

Question #5

Question #6

Question #7

Which statement is true regarding the vertex of the quadratic function ?

The vertex is the point .A The vertex is the point .B

The vertex is located in quadrant 3.C The vertex is located in quadrant 4.D

The function t (h) gives the time, t, in seconds, that it takes for an object to fall from a given

height, h, in feet. What is the range of this function?

A B

C D

Which describes how the domain changes when the function changes to

The domain changes to A The domain changes to B

The domain changes to C The domain changes to D

Which set contains the solutions to

{3, 12}A {−4, 1}B

{−1, 0, 4}C {−2, −1, 2}D



Question #8

Question #9

The graph of a function is shown.

Which inequality represents the domain of the function?

A B

C D

What is the minimum point on a graph of the function ?

(–3, –16)A (3, 16)B

(–16, –3)C (–16, 3)D



Question #10

Question #11

Which quadratic equation has a graph with a minimum at (–2, 5)?

A B

C D

Which graph displays a function with a range of

A B

C D



Question #12

Question #13

Given the function , which set includes all of the zeros for the polynomial?

A B

C D

Select all polynomials that have a zero located at .

A B

C D

E



Question #14

The function approaches positive infinity as x approaches positive infinity. The zeros of thefunction are –1, 2, and 4. Which graph BEST represents

A B

C D



Question #15

Which of the following describes the domain and range of the function in the graph?

A B

C D



Question #16

Exponential function g is defined as and exponential function h is graphed below.

Which statement about the graphs of the two functions is NOT true?

A Both functions are alwaysdecreasing.

B

Both functions have the same y-intercept.

C The values of both functions arealways positive.

D

WJCC School Closure Extended Learning Algebra II · SOL G.1a Khan Academy Video Algebraic solutions...

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