WEEK 1

DONE Unit 2: Verb Agreement

1 Topic | 3 Quizzes
DONE Unit 3: Punctuation

3 Topics | 3 Quizzes
DONE Unit 4: Apostrophes

3 Quizzes
DONE Unit 6: Using Desmos

3 Quizzes
DONE Unit 7: Ratios, Rates, and Conversions

1 Topic | 3 Quizzes
DONE Unit 8: Slope Intercept

3 Quizzes
DONE Unit 10: Line Graphs and Bar Graphs

3 Quizzes
DONE Unit 11: Scatterplots

3 Quizzes
WEEK 2

DONE Unit 12: Words in Context

3 Quizzes
DONE Unit 13: Passage Summarization

3 Quizzes
DONE Unit 14: Pronouns

3 Quizzes
DONE Unit 15: Transition Words and Phrases Part 1

1 Topic | 3 Quizzes
DONE Unit 16: Word Choice

3 Quizzes
Unit 17: Linear Word Problems – Type 1: Numbers

2 Topics | 2 Quizzes
Unit 20: Transforming Equations – Advanced

1 Topic | 2 Quizzes
DONE Unit 19: Systems of Linear Equations

1 Topic | 3 Quizzes
DONE Unit 20: Systems of Inequalities

1 Topic | 3 Quizzes
DONE Unit 21: Systems Word Problems

3 Quizzes
WEEK 3

DONE Unit 22: Figures and Tables

3 Quizzes
DONE Unit 23: Author’s Objective

3 Quizzes
DONE Unit 24: Misplaced Modifiers

3 Quizzes
DONE Unit 26: Statistics

1 Topic | 3 Quizzes
DONE Unit 27: Average from a Table

3 Quizzes
DONE Unit 28: Probabilities

3 Quizzes
DONE Unit 29: Percentages

1 Topic | 3 Quizzes
DONE Unit 30: Angle Problems

1 Topic | 3 Quizzes
DONE Unit 31: Circle Basics

1 Topic | 3 Quizzes
DONE Unit 32: Triangles

3 Quizzes
WEEK 4

DONE Unit 33: Accomplish the Goal

1 Topic | 3 Quizzes
DONE Unit 34: Punctuation Part 2

1 Topic | 1 Quiz
DONE Unit 35: Command of Evidence

3 Quizzes
DONE Unit 36: Parabolas and Factoring

2 Topics | 3 Quizzes
DONE Unit 37: Non-Linear Systems

1 Topic | 3 Quizzes
DONE Unit 38: Quadratic and Discriminant

3 Quizzes
DONE Unit 39: Zeros in Quadratics

3 Quizzes
DONE Unit 41: SohCahToa

3 Quizzes
WEEK 5

DONE Unit 42: Inferences

3 Quizzes
DONE Unit 43: Complete the Text

3 Quizzes
DONE Unit 44: Dual Passages

3 Quizzes
DONE Unit 45: Functions

1 Topic | 3 Quizzes
DONE Unit 46: Functions with Coordinate Box

1 Topic | 3 Quizzes
DONE Unit 47: Exponents and Radicals

1 Topic | 3 Quizzes
DONE Unit 48: Constants

1 Topic | 3 Quizzes
DONE Unit 49: Surveys and Studies

3 Quizzes
WEEK 6

DONE Unit 51: Equal Polynomials

3 Quizzes
DONE Unit 53: Area and Volume

3 Quizzes
DONE Unit 54: Absolute Value

3 Quizzes
DONE Unit 55: Box Plots

3 Quizzes
DONE Unit 56: Polynomial Graphs

3 Quizzes
DONE Unit 57: Translations

3 Quizzes
DONE Unit 58: Vertex Form of a Parabola

3 Quizzes
DONE Unit 59: Creative Geometry

3 Quizzes
EXTRA

Logical Comparisons

2 Quizzes
If you don’t know it already, this is another formula you will have to memorize. It describes every point on a circle, as well as the center and radius of the circle.

$$\boldsymbol(\boldsymbol x\boldsymbol-\boldsymbol h\boldsymbol)^{\mathbf2}\boldsymbol+\boldsymbol(\boldsymbol y\boldsymbol-\boldsymbol k\boldsymbol)^{\mathbf2}\boldsymbol=\boldsymbol r^{\mathbf2}$$

(*h,k*) describes the *x* and* y* coordinates of the center of the circle, and *r* is simply the radius. *x* and *y* in the equation represent any point going around the circle.

If you were given the equation of a circle that looked like this:

$$x^2+y^2=144$$

You would know the center of the circle is at (0,0), and it has a radius of 12. That equation is the same as:

$$(x-0)^2+(y-0)^2=144$$

Our *h* and *k* values are thus 0, and the radius is \(\sqrt{144}\) or 12.

**Strategy****:**

**Know the formula and understand all components of it.**

Another example that is slightly more difficult:

$$(x-2)^2+(y+3)^2=50$$

Here, our center would be at (2,-3) and the radius would be \(\sqrt{50}\). Note the *y* value is negative because it is \(y+3\) in the equation, where our standard form says \(y-k\).

If you are given something that looks close to, but not quite standard form, you need to manipulate it until you get it looking just like standard form.

$$2(x-2)^2+2(y+3)^2-20=50$$

We would first add 20 to both sides, then divide by 2:

$$(x-2)^2+(y+3)^2=35$$

Now you can determine the center and radius for this circle.

What if you are given a graph and asked what the equation of the circle is?

Easy! We just find the center of the circle is (-2, 2) and count out that the radius is 3. Since we have our formula memorized, we just plug in those three values to get

$$(x+2)^2+(y-2)^2=9$$

In the next unit, we’ll cover one more type of circle problem (the hardest kind!).

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