Name__________________________________________________

Slides:

Advertisements

Similar presentations

COMPASS Algebra Practice Test H This practice test is 10 items long. Record your responses on a sheet of paper. The correct answers are on the slide after.

Advertisements

Algebra 1c 1-3 Exponential Notation Objective (things to learn): How to solve problems containing exponents. First we will start off with learning the.

Finding angles with algebraic expressions

Solve a compound inequality with and

Using the Quadratic Formula to Solve a Quadratic Equation

Quadratics Solve quadratic equations using multiple methods: factoring, graphing, quadratic formula, or square root principle.

5.6 Complex Numbers. Solve the following quadratic: x = 0 Is this quadratic factorable? What does its graph look like? But I thought that you could.

Algebraic Fractions and Forming Equations Learning Outcomes  Simplify algebraic fractions  Add, subtract, multiply and divide algebraic fractions  Solve.

Variables and Expressions Order of Operations Real Numbers and the Number Line Objective: To solve problems by using the order of operations.

Objectives Define and use imaginary and complex numbers.

Algebra I Chapter 10 Review

Starter Simplify the following: 2a + 3b – 7a + b 4c 2 – 3c + 6c 2 – 8c 5de + 6fd – 2ef – 6ed -5a + 4b 10c 2 – 11c -de + 6df – 2ef.

Objectives Define and use imaginary and complex numbers.

9.4 factoring to solve quadratic equations.. What are the roots of a quadratic function? Roots (x-intercepts): x values when y = 0 ( ___, 0) How do you.

This is the parent graph of all quadratic functions. The graph of a quadratic function is called a parabola. The parent function is given as.

Solving Quadratic Equations by Factoring. Solution by factoring Example 1 Find the roots of each quadratic by factoring. factoring a) x² − 3x + 2 b) x².

= This set of tiles represents the equation 2x + 2 = 6. Solving Two-Step Equations xx x=6+ 2 © NorledgeMaths.

Solving Multi- Step Equations. And we don’t know “Y” either!!

Multiplying and Factoring

Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.

§ 2.3 The Multiplication Property of Equality. Martin-Gay, Beginning Algebra, 5ed 22 Multiplication Property of Equality If a, b, and c are real numbers,

8.5 – Add and Subtract Rational Expressions. When you add or subtract fractions, you must have a common denominator. When you subtract, make sure to distribute.

6.1.1 – Properties of Exponents. We worked with combining/multiply like terms, mostly in single terms Example. Simplify the following expressions. 1)

Solving Inequalities. We solve inequalities, just like regular algebraic expressions with equal signs (=). Just pretend the inequality is an equal sign!!!

Section 1-4: Solving Inequalities Goal 1.03: Operate with algebraic expressions (polynomial, rational, complex fractions) to solve problems.

Section 4.3 Solving Absolute Value Equations and Inequalities

Holt McDougal Algebra 2 Solving Rational Equations and Inequalities Solving Rational Equations and Inequalities Holt Algebra 2Holt McDougal Algebra 2.

Holt Algebra Solving Quadratic Equations by Graphing and Factoring A trinomial (an expression with 3 terms) in standard form (ax 2 +bx + c) can be.

5.4 Factoring ax 2 + bx +c 12/10/2012. In the previous section we learned to factor x 2 + bx + c where a = 1. In this section, we’re going to factor ax.

EXAMPLE 4 Solve equations using nth roots Solve the equation. a. 4x 5 = 128 Divide each side by 4. x5x5 32= Take fifth root of each side. x=  32 5 Simplify.

 5-9 Complex Numbers Objective: Students will be able to add, subtract, multiply, and divide complex numbers.

§ 6.6 Solving Quadratic Equations by Factoring. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Zero Factor Theorem Quadratic Equations Can be.

Distributive Property and combining like terms.. Use the Distributive Property to simplify each expression. 1. 8(m + 5) = (3x + 9) = –2(4.

 A method for breaking up a quadratic equation in the form ax 2 + bx + c into factors (expressions which multiply to give you the original trinomial).

7-3: Rational Exponents. For any nonnegative number, b ½ = Write each expression in radical form, or write each radical in exponential form ▫81 ½ = =

3.4 Simplify Radical Expressions PRODUCT PROPERTY OF RADICALS Words The square root of a product equals the _______ of the ______ ______ of the factors.

Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.

Algebra 3 Lesson 2.6 Objective: SSBAT solve quadratic equations. Standards: M11.D

Add ___ to each side. Example 1 Solve a radical equation Solve Write original equation. 3.5 Solve Radical Equations Solution Divide each side by ___.

Notes Over 1.2.

Ch. 8.5 Exponential and Logarithmic Equations

1. Add: 5 x2 – 1 + 2x x2 + 5x – 6 ANSWERS 2x2 +7x + 30

Lesson 7.4 Solving polynomial equations in factored form

Bellwork Solve the equation Using square root:.

HW: Worksheet Aim: What are the higher degree function and equation?

HW: Worksheet Aim: What are the higher degree function and equation?

Review Problems Algebra 1 11-R.

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

Algebra 12.2/12.3 Review.

Section 8-2: Multiplying and Dividing Rational Expressions

Collecting Like terms Brackets 2 Brackets

Check Homework!.

Multiplying Special Cases

Systems of Linear and Quadratic Equations

1. What is the difference between simplifying an expression and solving an expression? 2. -(3x+5)-4x x-7=13 4. x/2 +4 =16 5. Write the following.

Multiplying and Factoring

Algebra Section 11-1 : Rational Expressions and Functions

Agenda Check Homework Algebra Skills Review Worksheet

Completing the Square Algebra Review.

Chapter 3-1 Distributive Property

Simplifying Algebraic Expressions

2 Chapter Chapter 2 Equations, Inequalities and Problem Solving.

Lesson 4: Solving Inequalities

Opener Notes Name__________________________________________________

Opener Notes Name__________________________________________________

Warm Up Simplify the expression by using distributive property and then combining like terms. x(x + 5) + 4(x + 5)

Starter Multiply out the brackets: (x+3)(x+3) (x+2)2 (x-5)2 Factorise:

Algebra with Fractions 2

Distributive Property

Presentation transcript:

Name__________________________________________________ Algebra: Factoring Find the product of (x+5) and (x+1). ______________________________ simplify _____________________________ Now, how do we go from ___________________ back to (x+5)(x+1) ? Look at (x + 5) (x + 1), see if you can come up with a hypothesis as to where 5 and 1 fit into the expression above. 𝑦= 𝑥 2 + 6x + 5 ____ = ( ) ( ) Let’s find the roots of the parabola. Graph 𝑦= 𝑥 2 + 6x + 5 and state the roots. Now we will find the roots algebraically. We learned above that 𝑥 2 + 6x + 5 factors to (x+1) and (x+5). What does y equal at the roots? ______ T IT UP!!! (x+1) (x+5)

Challenge Practice – Find the roots of the following Steps Find the numbers that multiply to the number without the x Pick the two numbers that add to the number with the x T it up Solve to find your roots Example 1 0 = 𝑥 2 +6x+8 Challenge 𝑥 2 +2x+1 2. 𝑥 2 +6x+9 3. 𝑥 2 +9x+18 4. 𝑥 2 +9x+8 5. 𝑥 2 +9x+14 6. 𝑥 2 +7x+12 7. 𝑥 2 +8x+12 8. 𝑥 2 +8x+15 9. 𝑥 2 +17x +70 10. 𝑥 2 +26x+120 11. 𝑥 2 +17x+66 12. 𝑥 2 +15x+36