Topic 9 Review

Perfect Squares(no calc)

100

What is the square root of 225?

What is: 15

200

What is the square root of 16x²?

What is: 4x

300

What is 21²?

What is: 441

400

Solve the perfect square trinomial for x

4x²-16x+16=64

What is: x=6 and x=-2

500

Complete the perfect square and solve for x.

Round answer to the nearest hundredths place if necessary,

3x²+18x+15=0

What is: x=-1 and x=-5

Quadratic Systems of Equations

100

Solve the system of equations.

y=x²

y=x+2

What is: (2,4) and (-1,1)

200

Solve the system

Round to the nearest hundredth 

y=x²+x

y=3x+4

What is: (3.24,13.71) and (-1.24,0.29)

300

Solve the system

Round to the nearest tenth.

y=x²-3x+2

y=2x-1

What is: (4.3,7.6) and (0.7,0.4)

400

Solve

y=x²+4x+4

y=3x+6

What is: (1,9) and (-2,0)

500

Solve

y=-3x²+4x-2

y=3x+10

What is: No Solution

Quadratic Formula

100

What is inside the discriminant of this quadratic equation?

x²+4x-12=0

What is: 64

200

How many solutions are in this quadratic equation?

44x²+9x-9=0

What is: 2 solutions 

300

Solve the equation

Show your work

Leave your answer in simplified radical form

9x²+7x-8=0

What is: (-7+radical337)/18, and (-7-radical337)/18

400

Solve the equation using the quadratic formula

Show your work

Leave in simplified radical form

-16x²+12x-8=12

What is: No solution or (3+radical71i)/8 and 

(3-radical71i)/8

500

Solve the equation using the quadratic formula,

Show your work

Leave your answer in simplified radical form

74x²+7x-4=0

What is: x= (-7+3radical137)/148, and 

(-7-3radical137)/148

Radical Multiplication/Simplification

100

Simplify

radical28

What is: 2radical7

200

Simplify

3radical18

What is: 9radical2 

300

Multiply and simplify

3radical23 X 4radical12

What is: 24radical69 

400

Simplify

4radical32x¹⁹

What is: 16x⁹radical2x

500

Multiply and simplify

18radical15x⁵ X 3radical19x⁷

What is: 54x⁶radical285

Misc.

100

What are all the other vocabulary terms for the x-intercept?

What is: Zeros, Solutions, Roots 

200

A triangle's sides are X and 4. What is the value of X if the triangle's hypotenuse is 15?

Keep your answer in simplified radical form.

What is: x=radical209

300

What is/are the solution(s) of

 x²-6x+9=18

what is x=3+3radical2, x=3-3radical2

400

Solve the equation.

Show your work.

Keep your answer in simplified radical form(No solution is not the answer).

18x²-32x+34=0

What is: (32+4iradical89)/36, (32-4iradical89)/36

500

A rectangle has a perimeter of 50 units. The length is 3 units more than twice the width. Find the length and width. Round answers to the nearest hundredth.

What is: Width:7.33, Length:17.67