EXIT TICKET - Solving Quadratic Equations

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.

Tags

CCSS.HSA-REI.B.4B

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Which is the standard form for a quadratic equation?

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

• $ax^2+bx+c=0$

• $y=a\left(x-h\right)^2+k$

• $a^2+b^2=c^2$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $7x^2=6x-1$  

Given this quadratic equation, what could be the values a, b, and c to use in the quadratic formula?

•  $a\ =\ 7,\ b\ =\ -6,\ c\ =\ 1$  

•  $a\ =\ 1,\ b\ =\ 6,\ c\ =\ -7$  

•  $a\ =\ -7,\ b\ =\ 6,\ c\ =\ 1$  

•  $a\ =\ 6,\ b\ =\ 7,\ c\ =\ 1$  

Tags

CCSS.HSA-REI.B.4B

 $x^2+12x$  

What value completes the square?

• 3

• 6

• 12

• 36

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7
• x = 4, -10
• x = -4 +- √7
• x = 10, -4

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2

Tags

CCSS.HSA-REI.B.4B