WEEK 1

DONE Unit 2: Verb Agreement

1 Topic | 3 Quizzes
DONE Unit 3: Punctuation

3 Topics | 3 Quizzes
Unit 4: Apostrophes

2 Quizzes
DONE Unit 6: Using Desmos

3 Quizzes
Unit 7: Ratios and Conversions

2 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

2 Topics | 2 Quizzes
Unit 18: Transforming Equations

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
Unit 21: Systems Word Problems

2 Quizzes
WEEK 3

DONE Unit 22: Figures and Tables

3 Quizzes
Unit 23: Author’s Objective

1 Topic | 2 Quizzes
Unit 24: Misplaced Modifiers

2 Quizzes
DONE Unit 26: Statistics

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

3 Quizzes
Phoenix Unit 28: Probabilities

2 Quizzes
Phoenix Unit 29: Percentages

1 Topic | 2 Quizzes
Unit 30: Angle Problems

1 Topic | 2 Quizzes
Unit 31: Circle Basics

1 Topic | 2 Quizzes
Unit 32: Triangles

2 Quizzes
WEEK 4

Unit 33: Accomplish the Goal

1 Topic | 2 Quizzes
Unit 35: Command of Evidence

2 Quizzes
Unit 36: Parabolas and Factoring

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

1 Topic | 2 Quizzes
Unit 38: Quadratic and Discriminant

2 Quizzes
Unit 39: Zeros in Quadratics

2 Quizzes
Unit 40: Center Radius Form of a Circle

2 Quizzes
Unit 41: SohCahToa

2 Quizzes
WEEK 5

Unit 42: Inferences

2 Quizzes
Unit 43: Complete the Text

2 Quizzes
Unit 44: Dual Passages

2 Quizzes
Unit 45: Functions

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

1 Topic | 2 Quizzes
Unit 47: Exponents and Radicals

1 Topic | 2 Quizzes
Unit 48: Constants

1 Topic | 2 Quizzes
Unit 49: Surveys and Studies

2 Quizzes
WEEK 6

Unit 51: Equal Polynomials

2 Quizzes
Unit 52: Exponential Growth and Decay

2 Quizzes
Unit 53: Area and Volume

2 Quizzes
Unit 54: Absolute Value

2 Quizzes
Unit 55: Box Plots

2 Quizzes
Unit 56: Polynomial Graphs

2 Quizzes
Unit 57: Translations

2 Quizzes
Unit 58: Vertex Form of a Parabola

2 Quizzes
Unit 59: Creative Geometry

2 Quizzes
EXTRA

Logical Comparisons

2 Quizzes
**The Quadratic Formula and Discriminant**

You will need the quadratic formula in three scenarios.

- You see something like (5pmsqrt3) in the answer choices. The “(pm)” symbol is a clear giveaway that you will have to use the quadratic formula.
- You have a quadratic equation that won’t factor, like ({0=x}^2+3x-17)
- The question is asking how many solutions there are to a system of equations involving a quadratic (as in the previous unit, but you can’t factor).

**Strategy****:**

**Memorize the quadratic formula!!**$$x=frac{-bpmsqrt{b^2-4ac}}{2a}$$**Set your quadratic equal to zero and define you’re***a*,*b*, and*c*terms. Your*a*term is the**(x^2) coefficient, your***b*term is the (x) coefficient, and the*c*term is a number.**Plug your terms into the quadratic formula and solve.**

Note that sometimes they replace numbers with constants (like *p* or *c*). Don’t let that trip you up!

Also note you can sometimes divide by the (x^2) coefficient to make your life easier – if you have (4x^2+8x-16=0), dividing both sides by 4 gives you (x^2+2x-8) which is easier to work with.

Example:

(x^2+3x+17)

*a* =1*b* = 3*c* = 17

(x=frac{-3pmsqrt{3^2-4(1)(17)}}{2(1)})

(x=frac{-3pmsqrt{-57}}2), which breaks into (x=frac{-3+sqrt{-57}}2) and (x=frac{-3-sqrt{-57}}2)

Another example:

$$x^2+px+4q=0$$

If *p* is equal to 2, what value of *q* would give this equation one solution?

A) 1

B) 0

C) (frac18)

D) (frac1{32})

**Define your a, b, and c terms:**

(a=2)

(b=p)

(c=4q) (*q* is a constant so it has to come along here!)

**For this problem, we can use the discriminant.** **The discriminant is just the stuff under the square root sign in the quadratic formula.**

$$b^2-4ac$$

The discriminant is positive | 2 real solutions |

The discriminant is exactly zero | 1 real solution |

The discriminant is negative | No real solutions |

Plug the *a, b, *and *c* terms into the discriminant:

$$p^2-4left(2right)left(4qright)$$

$$p^2-32q$$

If *p* is equal to 2, what value of *q* would give this equation one solution?

A) 1

B) 0

C) (frac18)

D) (frac1{32})

To have one solution, the discriminant must equal exactly zero.

$$0=4–32q$$

We then solve:

$$32q=4$$

$$q=frac4{32}=frac18$$

So **C** would be our correct answer.

If they had instead asked us:

If *p* is equal to 2, what value of *q* would give this equation no solutions?

A) 0

B) (frac18)

C) 1

D) -1

Our approach would be the same, except now we’re looking for what would make the discriminant negative:

$$4-32q<0$$

Our only answer that gives us a negative is C.

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