Envision Integrated Math

IM2 EOC Review

This lesson includes tips, examples, and practice to prepare for the EOC test.

Tips for Test Taking

• 1st - Make sure that you know what you are looking for!

• 2nd - Gid rid of any answers that do not make sense!

• 3rd - Answer the questions you know first, skip those that are unclear and go back to them

• 4th - If time is running out, choose ONE letter to fill in all questions remaining!

There are 4 categories that ALL the questions fall into!

• Structure and Operation

• Equations & Inequalities

• Functions

• Geometry and Interpreting Data

• https://www.tn.gov/content/dam/tn/education/blueprints/tnready_blueprints_eoc_Integrated_Math_2.pdf

Multiple Select

Which of these are test taking strategies to use on the EOC?

• Read the question carefully! Know what it is asking for!

• Eliminate wrong answers! This gives you a better chance of getting the right answer.

• Skip harder problems until after doing the problems that I know how to do.

• Ask for help on a problem during the EOC.

Structure and Operations

• Involves rewriting expressions to look differently

• Simplifying expressions is part of this

• TIP: Check your answers to see which is the same as the problem

• Can be part of EITHER the calculator or non-calculator sections

Problems Involving Structure and Operations

• Rewriting Radicals with Rational Exponents

• Adding, Subtracting, and Multiplying Polynomials

• Factoring Quadratics

• Rewriting Quadratics from Standard Form to Vertex Form or Factored Form

• Next are some sample problems that you saw on the Spring Benchmark that fall into this category!

Multiple Choice

Standard: M2.N.RN.A.2

• A

• B

• C

• D

Multiple Choice

Standard: M2.N.CN.A.2

• A

• B

• C

• D

Multiple Choice

Standard: M2.A.APR.A.1

• $$-3x^2+9x^2-8x^2-2x+12$$

• $$-3x^4+9x^3-8x^2-2x+12$$

• $$-3x^4+9x^3-8x^2+2x-12$$

• $$3x^4+9x^3-8x^2-2x-12$$

Multiple Choice

Standard: M2.A.APR.A.1

Multiply the following polynomials:  $$\left(x-7\right)\left(3x^2+8\right)$$  

• $$-3x^3+21x^2-8x+56$$  

• $$21x^2-8x-56$$  

• $$3x^3-21x^2+8x-56$$  

• $$3x^3+21x^2+8x+56$$  

Multiple Choice

Standard: M2.A.SSE.B.3b

A quadratic function is given as  $$f\left(x\right)=x^2+8x+6$$  . 

Rewrite the given function in an equivalent form that would reveal the VERTEX of the function. 

• $$f\left(x\right)=\left(x+4\right)^2-10$$  

• $$f\left(x\right)=\left(x-4\right)^2-10$$  

• $$f\left(x\right)=\left(x+4\right)^2+10$$  

• $$f\left(x\right)=\left(x-4\right)^2+10$$  

Equations and Inequalities

• Involves solving equations and inequalities

• Word problems where you must create and solve

• TIP: Substitute answer choices into the problem, if possible, to check which one works

• Can be part of EITHER the calculator or non-calculator sections

Problems Involving Equations and Inequalities

• Finding errors or next steps to solving equation problems

• Creating equations/inequalities from word problems and solving them

• Finding solutions to quadratics, systems, or other equations/inequalities

• Next are some sample problems that you saw on the Spring Benchmark that fall into this category!

Multiple Choice

Standard: M2.A.REI.A.1

• From the given equation to Step 1, the student should have added 15 to both sides of the equation.

• From Step 1 to Step 2, the student should have divided both sides of the equation by 9.

• From Step 2 to Step 3, the student should have squared both sides of the equation.

• The student made no mistake, so the solution is correct.

Multiple Choice

Standard: M2.A.CED.A.1

The length of a rectangle is 7 inches longer than its width. The area of the rectangle is 260 square inches.

What is the length, in inches, of the rectangle?

• 18

• 21

• 20

• 19

Multiple Choice

Standard: M2.REI.B.2b

Consider the equation  $$3\left(x-5\right)^2+6=54$$  . 

What is the greatest value of x that makes the equation true?

• 10

• 9

• 8

• 7

Multiple Choice

Standard: M2.A.CED.A.2

The length of one side of a shoebox is 8 centimeters more than twice the width. The base of the shoebox has an area of 72 square centimeters.

Which equation represents this situation with w representing the width in centimeters.

• $$2w^4+16w=72$$

• $$2w^3+4w=72$$

• $$16w^4-8w=72$$

• $$2w^2+8w=72$$

Multiple Choice

Standard: M2.A.REI.B.4b

Which are solutions to the equation  $$x^2+2x+10=0$$  ?

• 2

• 5

• $$-1-3i$$  and  $$-1+3i$$  

• $$-1-i\sqrt{11}$$  and  $$-1+i\sqrt{11}$$  

Multiple Choice

Standard: M2.A.CED.A.1

Josie deposited $5000 into an account with an annual interest rate of 6%, compounded annually. How much money will be in the account 10 years later?

• $3954.24

• $5600.00

• $8000.00

• $8954.24

Functions

• Involves building or interpreting what the functions mean

• Transformations and Key Features

• TIP: If on the calculator part, use it to see which graphs match

• Can be part of EITHER the calculator or non-calculator sections

Problems Involving Functions

• Graphs and Writing the Function in Different Forms

• Transformations and what happens when something is moved, stretched/compressed, or flipped

• Situational type problems involving creating functions and using them

• Next are some sample problems that you saw on the Spring Benchmark that fall into this category!

Multiple Choice

Standard: M2.F.BF.A.1a

Fannie is making a rectangular blanket. The length of the blanket is 10 inches greater than its width, w, in inches.

Which function, f(w), describes the area, in square inches, of Fannie's blanket as a function of the width, w.

• $$f\left(w\right)=w\left(w+10\right)$$

• $$f\left(w\right)=w+10$$

• $$f\left(w\right)=w\left(10\right)$$

• $$f\left(w\right)=w\left(w+10\right)^2$$

Multiple Choice

Standard: M2.F.IF.B.4b

Which equation represents the graphed function?

• $$f\left(x\right)=\left|x+2\right|-1$$

• $$f\left(x\right)=\left|x+1\right|-2$$

• $$f\left(x\right)=\left|x-2\right|+1$$

• $$f\left(x\right)=\left|x-1\right|+2$$

Multiple Choice

Standard: M2.F.BF.B.2

Consider  $$f\left(x-3\right)$$  . Which option correctly describes the transformation to the graph?

• up 3 units

• down 3 units

• left 3 units 

• right 3 units

Multiple Choice

Standard: M2.F.IF.A.1

The number of people owning cell phones, N(t), is modeled by the equation  $$N\left(t\right)=A_0P^t$$  , where P is a constant and t represent the number of years since 1977. 

What is the value of  $$A_0$$  ?

• 0.30

• 2.0

• 1.80

• 2.1

Multiple Choice

Standard: M2.F.IF.A.3

What is the average rate of change, in meters per minute, of the depth of the water in the pond, between  $$t=2\ and\ t=5$$ ? 

• 0.12

• 0.14

• 0.16

• 0.18

Geometry and Interpreting Data

• Involves shapes and data

• Volume, Triangles, Trig

• TIP: Memorize your trig functions!

• Can be part of EITHER the calculator or non-calculator sections

Problems Involving Geometry and Interpreting Data

• Triangle Similarity and Proofs

• Volume and Surface Area of 3-D Figures

• Trig Functions and Pythagorean Theorem

• Probability

• Next are some sample problems that you saw on the Spring Benchmark that fall into this category!

Multiple Choice

Standard: M2.G.SRT.A.3

Determine which statement is true in regard to  $$\Delta ABC\ and\ \Delta LMN$$  .

• $$\Delta ABC\sim\Delta LMN$$  by AA Criterion

• $$\Delta ABC\sim\Delta LMN$$  by SAS Criterion

• $$\Delta ABC\sim\Delta LMN$$  by SSS Criterion

• $$\Delta ABC\ and\ \Delta LMN$$  are not similar

Multiple Choice

Standard: M2.G.SRT.C.8

To the nearest foot, what is the height of the antenna?

• 41

• 45

• 42

• 14

Multiple Choice

Standard: M2.G.SRT.C.7

What is  $$\sin\left(x\degree\right)$$  ?

• 0.36

• 0.40

• 0.60

• 0.80

Multiple Choice

Standard: M2.G.SRT.C.8a

To the nearest foot, how tall is the tree?

• 18 foot

• 9 foot

• 29 foot

• 19 foot

Multiple Choice

Standard: M2.S.ID.A.1a

Which equation best fits the data?

• $$y=\left(x-95\right)^2+300$$

• $$y=-\left(x-95\right)^2+300$$

• $$y=\left(x-95\right)\left(x-300\right)$$

• $$y=-\left(x-95\right)\left(x-300\right)$$

Multiple Choice

Standard: M2.S.CP.A.3

What is the probability a customer below the age of 50 would be willing to pay an extra $35 monthly?

• 0.22

• 0.41

• 0.69

• 0.84

THINGS TO REMEMBER!

• The better you know the vocabulary, the better you will understand what the question is asking! Know your math vocab!!!

• You have a certain amount of time for each portion of the test, use ALL of it!

• You know more than you think! Your attitude is a direct correlation to your results! If you need more practice, then DO THE WORK! DON'T SLACK!!!

• YOU GOT THIS!!! I believe in you! You should too!!!