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
**Example 1:**

\(x\) | \(y\) |
---|---|

2 | 0 |

2 | 1 |

2 | 2 |

Several values of *x* and their corresponding values of *y* are shown in the table. A linear equation that represents the relationship shown in the table is *x* = *k*, where *k* is a constant. What is the value of *k* ?

This problem is as straightforward as it seems – constants don’t change, so they are saying *x* is equal to some number. What number? It’s in the table – no matter what *y* is, *x* is always going to be 2. If we were to graph this, it would just be a vertical line.

**Example 2:**

The linear function *f* is defined by *f* (*x *) = *cx* + *d*, where *c *and *d* are constants. If *f* (50) = 27,000 and *f* (100) = 38,000, what is the value of *c* ?

Here we have two constants, which, remember, are just two numbers we don’t know yet but will shortly. If we look closely we can see that

$$f(x)=cx+d$$

looks an awful lot like

$$y=mx+b$$

And in fact, we do have a linear equation here. They are asking us for the slope of this line, but calling it *c* instead of *m*. A common SAT trick!

In our functions unit we worked through problems like this, where we plugged in a number and got back another number.

Here, they tell us if we plug in 50, we get back 27,000, and if we plug in 100, we get back 38,000. Remember we plug in for *x* and get back *y*. So, we have two ordered pairs! (50, 27000) and (100, 38000). Also recall from our unit on slope that we can calculate the slope from two points, using \(\frac{y_1-y_2}{x_1-x_{2_{}}}=m\). Here we just plug in our two points and get back the slope, which is also equal to the constant *c*. If they asked us for *d*, the *y*-intercept, we could solve by plugging in one of our points back in along with our newly found slope.

**Example 3:**

$$3x^2+bx+5$$

For the quadratic equation shown, *b* is a constant. If the equation has no real solutions which of the following must be true?

A) \(b^2< 60\)

B) \(b^2>60\)

C) \(b<0\)

D) \(b>0\)

*b* is just some number we don’t know yet!

We remember from our unit on the quadratic formula and the discriminant that for a give quadratic, if the discriminant is positive it will have 2 solutions, if it is 0 there will be 1 solution, and if it is negative there will be no solutions. Here, the easiest way to solve this problem will be to use that rule.

First, we define our *a, b, *and *c* terms.

*a *= 3

*b* = *b*

*c* = 5

Plugging this into our discriminant formula give us

\(0>b^2-4(3)(5)\)

\(0>b^2-60\)

\(60>b^2\)

\(b^2\) must be less than 60 here in order for our discriminant to be negative.

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