6.1-6.3 Quiz

6.1-6.3 Quiz

You may use your notes pages and Desmos for the quiz! (Go ahead and get them out.)

Lesson 6.1 - Intro to Quadratics

Make sure you know how to find and use the discriminant!

Remember that the discriminant has to be = 0!

Multiple Choice

In the equation

y = x² +5x +7, match each leading coefficient with its correct letter

• a=0, b=5, c=7

• a=1, b=5, c=7

• a=7, b=5, c=1

Multiple Choice

What is the discriminant of 6x² − 2x − 3 = 0

• 76

• 29

• 68

• none of these

Multiple Choice

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

Lesson 6.2 - Solving Quadratics by Factoring

The 4 types of factoring we used are:

Trinomials where a=1, GCF, Difference of Squares, and Trinomials where a>1

Then you set each factor equal to zero and solve for x!

This is an example of a trinomial where a=1.

Multiple Choice

Trinomial where a=1

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

This is an example of factoring by GCF.

Multiple Choice

GCF

Solve.

n² - 2n = 0

• n = 2 and 0

• n = -2 and 0

• n = 2

• n = 0

This is an example of a difference of squares.

Multiple Choice

Difference of squares

Solve

16a² - 9 = 0

• a = ^-3/₄, ³/₄

• a = ^-4/₃, ⁴/₃

• a = ^-9/₁₆, ⁹/₁₆

• a = ^-16/₉, ¹⁶/₉

Lesson 6.3 - Solving using Quadratic Formula

Make sure that the equation is = 0 and in standard form before starting.

Then, identify a, b, and c and plug into the formula! Use Desmos to help with this.

Multiple Choice

What should you do first in solving this equation?

x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.