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Quadratic Formula Guided Practice

Authored by Austyn Jones

Mathematics

9th - 12th Grade

Used 6+ times

Quadratic Formula Guided Practice
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12 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Which words also mean the same thing as solutions?

x intercepts

roots

zeros

y intercepts

2.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

​Complete the quadratic formula

Black question mark ​ (a)  

Blue question mark ​ (b)  

Red question mark ​ (c)  

−b-b  

b2−4acb^2-4ac  

2a2a  

bb  

2b−4ac2b-4ac  

b2−4cb^2-4c  

22  

a2a^2  

b2−acb^2-ac  

2b2b  

3.

MULTIPLE CHOICE QUESTION

2 mins • 12 pts

Determine the values of a, b, and c for the quadratic equation:

4x2 – 8x = 3

a = 4, b = -8, c = 3

a = 4, b =-8, c =-3

a = 4, b = 8, c = 3

a = 4, b = 8, c = -3

4.

MATCH QUESTION

1 min • 1 pt

What types of solutions would each expression produce?

Rational Solutions

−4±(5)2−4(1)(4)2\frac{-4\pm\sqrt[]{\left(5\right)^2-4\left(1\right)\left(4\right)}}{2}

Complex Solutions

−4±(5)2−4(1)(3)2\frac{-4\pm\sqrt[]{\left(5\right)^2-4\left(1\right)\left(3\right)}}{2}

Irrational Solutions

−4±(5)2−4(1)(7)2\frac{-4\pm\sqrt[]{\left(5\right)^2-4\left(1\right)\left(7\right)}}{2}

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which statement correctly describes the number and type of solutions in the equation

x2=20x^2=20

There is exactly one rational solution

There is exactly one irrational solution

There are two irrational solutions

There are two rational solutions

6.

MATH RESPONSE QUESTION

2 mins • 1 pt

2x2+8x−7=02x^2+8x-7=0

Use the quadratic formula to type an expression that will yield the solutions to the equation above.

You cannot type ±\pm on the keyboard so instead put +−+-

DO NOT SIMPLIFY ANYTHING. JUST PLUG IN WITH PARENTHESES.

−(8)+−(8)2−4(2)(−7)2(2)\frac{-\left(8\right)+-\sqrt{\left(8\right)^2-4\left(2\right)\left(-7\right)}}{2\left(2\right)}

Mathematical Equivalence

ON

7.

MATH RESPONSE QUESTION

2 mins • 1 pt

x2−2x=12x^2-2x=12

Use the quadratic formula to type an expression that will yield the solutions to the equation above.

You cannot type ±\pm on the keyboard so instead put +−+-

DO NOT SIMPLIFY ANYTHING. JUST PLUG IN WITH PARENTHESES.

−(−2)+−(−2)2−4(1)(−12)2(1)\frac{-\left(-2\right)+-\sqrt{\left(-2\right)^2-4\left(1\right)\left(-12\right)}}{2\left(1\right)}

Mathematical Equivalence

ON

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