Quadratic Formula Practice

Quadratic Formula Practice

Solutions to a Quadratic Function

x-intercepts are also called solutions and roots/zeros. Solutions are points where f(x) = 0.

Multiple Select

x-intercepts are also called:

Choose ALL that apply!

• Solutions

• Roots

• Zeros

• Parabolas

• Puppies

Multiple Choice

Given a graph, how can you find the "solutions" to a quadratic?

• Call a friend

• Plug into a calculator

• Solutions are where the quadratic crosses the x-axis

• Magic 8 Ball -_-

Multiple Choice

What are the x-intercepts of the graph?

• (-4,0) and (0,0)

• (0,0) and (4,0)

• (-2,-2)

• None

Multiple Choice

What are the x-intercepts of the graph?

• None

• (-6,0) and (-2,0)

• (6,0) and (2,0)

• (0,-6) and (0,-2)

Multiple Choice

ax² + bx + c = 0 is the standard form of a quadratic equation.

• True

• False

Multiple Choice

In the equation ax² + bx + c = 0, the x² term always corresponds with

• a

• b

• c

Multiple Choice

In the equation ax² + bx + c = 0, the x term always corresponds with

• a

• b

• c

Multiple Choice

In the equation ax² + bx + c = 0, the c term always the

• x² term

• x term

• constant

Multiple Select

 $x=\frac{-\left(b\right)\sqrt{\left(a\right)^2-4ac}}{2b}$  

What is wrong with this formula? Check ALL that apply.

• Missing  $\pm$  after  $-\left(b\right)$  

• The square root should be  $\sqrt{\left(b\right)^2-4ac}$  

• The denominator should be  $2a$  

• There are no errors. It is correct.

Multiple Choice

Identify the values of A, B, and C

10p² + 7p - 20 = 0

• A = 1, B = 7, C = -20

• A = 10, B = 7, C = 20

• A = 10, B = -7, C = -20

• A = 10, B = 7, C = -20

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

In the equation x² + 4 = 0, match each leading coefficient with its correct letter.

• a = 0, b = 4, c = 0

• a = 1, b = 4, c = 0

• a = 1, b = 0, c = 4

Multiple Choice

Identify the values of A, B, and C

f(m) = 3m² - 11m - 14

• A = 3, B = -11, C = -14

• A = 3, B = -14, C = 11

• A = 3, B = 11, C = -14

Multiple Choice

Identify the values of A, B, and C

f(r) = 11r² + 6r - 6

• A = 11, B = -6, C = -6

• A = 11, B = 6, C = 6

• A = 11, B = 6, C = -6

• A = 1, B = 6, C = -6

Multiple Choice

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

f(x) = 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

Multiple Choice

 $x^2-4x-7=0$  
Which example below uses the quadratic formula  correctly? 

•  $x=\frac{-\left(4\right)\pm\sqrt{\left(-4\right)^2-4\left(1\right)\left(-7\right)}}{2\left(1\right)}$  

•  $x=\frac{-\left(-4\right)\pm\sqrt{\left(-4\right)^2-4\left(1\right)\left(-7\right)}}{2\left(1\right)}$  

•   $x=\frac{-\left(-4\right)\pm\sqrt{\left(-4\right)^2-4\left(1\right)\left(7\right)}}{2\left(1\right)}$