Ch. 10 Preview

Presentation

•

Mathematics

•

9th - 12th Grade

•

Easy

•

CCSS

7.EE.A.1, 8.G.A.3, 8.EE.A.1

Standards-aligned

Kimberly Gordiany

Used 13+ times

FREE Resource

5 Slides • 27 Questions

Ch. 10Preview

by Kimberly Gordiany

Simplifying Radicals

We will also need to remember how to simplify radicals in chapter 5. A factor tree is a good method, as long as you remember to keep the square root symbols over the factors of the square roots.

Then, circle the numbers at the end of each branch to

multiply them for your answer.

Draw

Simplify $\sqrt[]{27}$

Multiple Choice

Simplify $\sqrt[]{28}$

$4\sqrt[]{7}$

$7\sqrt[]{4}$

$7\sqrt[]{2}$

$2\sqrt[]{7}$

Multiple Choice

Simplify $\sqrt[]{24}$

$6\sqrt[]{2}$

$2\sqrt[]{6}$

$4\sqrt[]{6}$

$2\sqrt[]{12}$

Multiple Choice

Any number that can be expressed as a quotient of two integers, where the denominator is not zero

Asymptote

Rational Number

Reflection

Translation

Multiple Choice

A transformation that flips a figure across a line

Rational Number

Reflection

Translation

Zero of a Function

Multiple Choice

Any number x, such that f(x)=0

Rational Number

Reflection

Translation

Zero of a Function

Multiple Choice

A line that a curve approaches as the value of x and y become very large or very small

Zero of a Function

Asymptote

Reflection

Translation

Multiple Choice

A transformation that moves each point in a figure the same distance in the same direction

Asymptote

Rational Number

Reflection

Translation

Exponent Rules:

To multiply same bases, you add the exponents

To divide same bases, you subtract the exponents

To raise exponents to another power, you multiply exponents

Negative exponents give the reciprocal

Fill in the Blanks

Assume all variables are nonzero. Simplify $\frac{x^{11}y^5}{x^4y^7}$

Do not use negative exponents for your answer

Type answer...

Fill in the Blanks

Assume that all variables are nonzero. Simplify with no negative exponents. $\left(2x^{-4}\right)^3$

Type answer...

Multiple Choice

Combine Like Terms

$5x^2+10x-4x+6$

$5x^2-6x+6$

$5x^2-6x-6$

$5x^2+6x+6$

$5x^2+6x-6$

Fill in the Blanks

Assume that all variables are nonzero. Simplify without using negative exponents. $\left(x^3\right)^{-2}$

Type answer...

Fill in the Blanks

Assume that all variables are nonzero. Simplify using no negative exponents. $\left(\frac{3x^2y}{z}\right)^4$

Type answer...

Multiple Choice

Combine like terms.

$3x+12-10x$

15x - 10

7x + 12

3x + 2

-7x + 12

Multiple Choice

Combine like terms.

$x^2+x+3x^2-4x$

$4x^2-3x$

$4x^2-3x+1$

$x^3+3x^2-4x$

$x^3-3x^2+4x$

Greatest Common Factor

We use GCF to simplify fractions and rational

expressions.

Look for the largest number that is a factor of

both terms.

When looking at variables, look for the highest exponent that is a factor of both terms.

Multiple Choice

Find the GCF of

3a² and 12a

$3a^2$

Multiple Choice

Find the GCF of

c²d and cd²

c²d²

cd²

c²d

Multiple Choice

Find the GCF of

16x⁴ and 40x³

$4x^3$

$8x^2$

$4x$

$8x^3$

Factoring Trinomials

We factored trinomials in chapter 2. When we have a quadratic trinomial, we look for factors of c (the number with no variable) that add or subtract to b (the number in the middle).

The factors of a quadratic trinomial will be 2 pairs of binomials written in parentheses. The parentheses is the way that we show multiplication because factors are numbers we multiply.

Multiple Choice

Factor the trinomial

x² - 4x - 5

(x-5)(x+1)

(x-5)(x-1)

(x+5)(x-1)

(x+5)(x+1)

Multiple Choice

Factor the Trinomial

x² + 2x - 24

(x+4)(x-6)

(x-4)(x+6)

(x-3)(x+8)

(x+3)(x-8)

Multiple Choice

Factor the Trinomial

x² + 12x + 32

(x+9)(x+3)

(x-9)(x-3)

(x+4)(x+8)

(x-4)(x-8)

Multiple Choice

Factor the Trinomial

x² + 9x + 18

(x+6)(x+3)

(x+9)(x+2)

(x+4)(x+5)

(x+2)(x+7)

Multiple Choice

Factor the Trinomial

x² -6x + 9

(x+3)²

(x-3)²

(x-3)(x+3)

(x+3)(x-3)

Multiple Choice

Factor the Trinomial

x² -8x - 20

(x-4)(x-5)

(x+4)(x-5)

(x+10)(x-2)

(x+2)(x-10)

Fill in the Blanks

Solve: 5x² = 45

x = +/-

Type answer...

Fill in the Blanks

Solve: 4x² - 7 = 93

x = +/-

Type answer...

Draw

Solve: 2(x-2)² = 32

Ch. 10Preview

by Kimberly Gordiany

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