EOC Blitz Radicals, Polynomials, Expressions, and Factoring

​EOC Blitz!!!

Radicals, Polynomials, Factoring

​Rational Vs Irrational

Drag and Drop

Drag all the Rational Numbers​ ​ ​

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Drag these tiles and drop them in the correct blank above

Multiple Choice

Simplify the Radical $$2\sqrt[]{250}$$

• 125

• $$5\sqrt[]{10}$$

• $$10\sqrt[]{10}$$

• 250

Multiple Choice

Simplify the Radical $$5\sqrt[]{5}+5\sqrt[]{5}$$

• $$10\sqrt[]{10}$$

• $$25\sqrt[]{10}$$

• $$5\sqrt[]{10}$$

• $$10\sqrt[]{5}$$

Multiple Choice

Simplify the Radical $$\sqrt[]{50}\times\sqrt[]{5}$$

• $$5\sqrt[]{10}$$

• $$25$$

• $$15\sqrt[]{10}$$

• 25 $$\sqrt[]{5}$$

Multiple Choice

Simplify the Radical $$5\sqrt[]{64x^2y^8z^5}$$

• $$13xyz$$

• $$40xy^4z^2\sqrt[]{z}$$

• 40 $$\sqrt[]{x^2y^8z^5}$$

• $$160xy^4z^{2.5}$$

Multiple Choice

Which radical expression is equivalent to $$10\sqrt[]{5}$$ ?

• $$2\sqrt[]{250}$$

• $$\sqrt[]{50}\times\sqrt[]{5}$$

• $$5\sqrt[]{5}+5\sqrt[]{5}$$

• $$\sqrt[]{5}\cdot\sqrt[]{20}$$

Multiple Choice

Which Radical Expression is equivalent to $$5\sqrt[]{10}$$

• $$2\sqrt[]{250}$$

• $$\sqrt[]{50}\times\sqrt[]{5}$$

• $$5\sqrt[]{5}+5\sqrt[]{5}$$

• $$10\sqrt[]{5}\times\sqrt[]{5}$$

Multiple Choice

Which radical expression is equivalent to $$10\sqrt[]{10}$$

• $$2\sqrt[]{250}$$

• $$\sqrt[]{50}\times\sqrt[]{5}$$

• $$\sqrt[]{5}\times\sqrt[]{10}\times\sqrt[]{10}$$

• $$2\sqrt[]{10}\times\sqrt[]{50}$$

• ​Look for the plus or minus in the middle.

• If its Plus Combine Like Terms.

• If its Minus Distribute the negative and then combine Like Terms.

Adding/Subtracting

Polynomials

Multiple Choice

Find the difference of the polynomials

$$\left(x^3+2x^2-x\right)-\left(-x^3+2x^2+6\right)$$

• $$2x^3-x-6$$

• $$4x^2-x+6$$

• $$x^6+4x^4-x-6$$

• $$2x^3+4x^2-x-6$$

Multiple Choice

Find the sum of the polynomials

$$\left(3x^2-5x-10\right)+\left(-3x^2-12x\ +26\right)$$

• $$6x^2-17x+16$$

• $$-17x+16$$

• $$-7x+42$$

• $$17x-16$$

Factoring strategies

• ​Quadratic Formula

• Square Root

• X Box

• X Fractions

Factoring

Multiple Choice

Completely Factor the quadratic.

$$6x^2-15x-9$$

• (x-3)(2x+1)

• (3x+1)(2x-1)

• (3x-9)(2x+1)

• 3(x-3)(2x+1)

Multiple Choice

Completely Factor the Quadratic

$$3x^2-2x-5$$

• (3x-5)(x-1)

• (3x-5)(x+1)

• (3x+5)(x-1)

• (3x+5)(x+1)

Strategies

• Box Method

• FOIL

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Multiplying Polynomials

Multiple Choice

What is the product of 7x-4 and 8x+5

• $$15x+1$$

• $$30x+2$$

• $$56x^2+3x-20$$

• $$56x^2-3x+20$$

Multiple Choice

Multiplication in Disguise

The Area of a Rectangle is $$y^2+4y$$ .

What could be the length and width of the Rectangle?

• L = $$y^2$$

  W = $$4y$$

• L = $$y$$

  W = $$y+4$$

• L = $$y+y$$

  W = $$4$$

• L = 1

  W = $$y+4y$$

• Solutions

• Roots

• Zeros

• X Intercepts

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​Solving Quadratics

Multiple Choice

What Factored Form Reveals the Zeros of the Quadratic?

$$f\left(x\right)=x^2+8x+15$$

• $$f\left(x\right)=\left(x+4\right)\left(x+2\right)$$

• $$f\left(x\right)=\left(x+3\right)\left(x+5\right)$$

• $$f\left(x\right)=\left(x+2\right)\left(x+6\right)$$

• $$f\left(x\right)=\left(x+1\right)\left(x+15\right)$$

Multiple Choice

What are the solutions to the equation

$$6x^2-x-40=0$$

• $$x=-\frac{8}{3},\ \ x\ =-\frac{5}{2}$$

• $$x=-\frac{8}{3},\ \ x\ =\frac{5}{2}$$

• $$x=\frac{8}{3},\ \ x\ =\frac{5}{2}$$

• $$x=\frac{8}{3},\ \ x\ =-\frac{5}{2}$$

Multiple Choice

Find the zeros to the equation

$$2x^2-2x-12=0$$

• x = -4, x = 3

• x = -3, x = 4

• x = -2, x = 3

• x = -6, x = 2