Lesson 27 Solving Quadratics

Lesson 27 Solving Quadratics

Fill in the Blanks

What number would you add to the expression to make a perfect square?  Write your answer as a decimal. 

 $x^2-15x$  

Open Ended

Fill in the Blanks

Solve the quadratic equation, list your answer(s) from least to greatest separated by a comma and a space.

 $x^2-2x=-1$  

Fill in the Blanks

Solve the quadratic equation, list your answer(s) from least to greatest separated by a comma and a space.

 $x^2+8x+14=23$  

Multiple Choice

Solve the quadratic equation,

 $x^2-15=0$  

•  $\sqrt{15}$  only

•  $-\sqrt{15}$  only

•  $\sqrt{15},\ -\sqrt{15}$  

• No real solutions

Multiple Choice

Solve the quadratic equation,

 $7x^2-2x-5=0$  

•  $\frac{5}{7},\ 1$  

•  $-\frac{5}{7},\ 1$  

•  $\frac{5}{7\ },\ -1$  

•  $-\frac{5}{7},\ -1$  

Multiple Choice

What are the solutions to the equation ?

 $x^2-4x=-3$  

•  $\frac{4\pm\sqrt{16-4\cdot0\cdot-3}}{2\cdot0}$  

•  $\frac{4\pm\sqrt{16-4\cdot1\cdot-3}}{2\cdot1}$  

•  $\frac{4\pm\sqrt{16-4\cdot1\cdot3}}{2\cdot1}$  

•  $\frac{-4\pm\sqrt{16-4\cdot1\cdot3}}{2\cdot1}$  

Multiple Choice

Which expression is equivalent to

 $\sqrt{-23}$  ?

• -23i

• 23i

•  $-\sqrt{23}i$  

•  $\sqrt{23}i$  

Fill in the Blanks

Write each expression in the form a+bi, where a and b are real numbers.

 $5i^2$  

Fill in the Blanks

Write each expression in the form a+bi, where a and b are real numbers.

 $i^2\cdot i^2$  

Fill in the Blanks

Write each expression in the form a+bi, where a and b are real numbers.

 $\left(-3i\right)^2$  

Fill in the Blanks

Write each expression in the form a+bi, where a and b are real numbers.

 $\left(5+4i\right)-\left(-3+2i\right)$  

Fill in the Blanks

Let m=(7−2i) and k=3i. Write each expression in the form a+bi, where a and b are real numbers.

k−m

Fill in the Blanks

Let m=(7−2i) and k=3i. Write each expression in the form a+bi, where a and b are real numbers.

 $k^2$  

Fill in the Blanks

Let m=(7−2i) and k=3i. Write each expression in the form a+bi, where a and b are real numbers.

 $m^2$  

Fill in the Blanks

Let m=(7−2i) and k=3i. Write each expression in the form a+bi, where a and b are real numbers.

 $k\cdot m$