5-1 Study Guide and Intervention PDF

Chapter 6. 5. Glencoe Geometry. 6-1 Study Guide and Intervention. Angles of Polygons. Polygon Interior Angles Sum The segments that connect the

6-1 Study Guide and Intervention - Graphing Systems of Equations

Possible Number of Solutions Two or more linear equations involving the same variables form a system of equations. A solution of the system of equations is

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6-1 Study Guide and Intervention. Graphing Systems of Equations. Number of Solutions. Possible Number of Solutions Two or more linear equations involving

7-1 Study Guide and Intervention

Lesson 7-1. NAME. DATE. PERIOD. PDF Pass. Chapter 7. 5. Glencoe Algebra 2. 7-1 Study Guide and Intervention. Graphing Exponential Functions.

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4-1 Study Guide and Intervention. Graphing Quadratic Functions 6. 10. ?. 4 X. 2 no real solutions. 11. 5 ?1 3.x2 – 5x + 4 = 0. 5x + 4 = 0 1

5-1 Study Guide and Intervention

x 4y -1. 5. ( a2b. ? a-3b2 )-1. 6. (x 2y 6. Glencoe Algebra 2. 5-1 Study Guide and Intervention (continued). Operations with Polynomials.

5-1 Study Guide and Intervention

6. Glencoe Precalculus. 5-1 Study Guide and Intervention(continued). Trigonometric Identities. Simplify and Rewrite Trigonometric Expressions You can apply

10-1 Study Guide and Intervention - Circles and Circumference

Yes; all diameters of the same circle are congruent. Page 2. NAME. DATE. PERIOD ______. Chapter 10. 6.

5-1 Study Guide and Intervention.pdf

Answer Key. 5-1 Study Guide and Intervention x-8<-6 x-8+8-6+8 x?2. Solve Inequalities by Addition Addition can be used to solve inequalities.

6-4 Study Guide and Intervention - Rectangles

6-4 Study Guide and Intervention. Rectangles Example 1: Quadrilateral RUTS above is a rectangle. ... Justify your answer using the indicated formula. 1.

Chapter 1 Resource Masters - Math Problem Solving

Study Guide and Intervention Each lesson in Geometry addresses two objectives There is one Study Guide and Intervention master for each objective WHEN TO USE Use these masters as reteaching activities for students who need additional reinforcement These pages can also be used in conjunction with the Student Edition as an instructional tool

6-1 Study Guide and Intervention

a y = –x + 2 y = x + 1 Since the graphs of y = –x + 2 and y = x + 1 intersect there is one solution Therefore the system is consistent and independent b y = –x + 2 3x + 3y = –3 Since the graphs of y = –x + 2 and 3x + 3y = –3 are parallel there are no solutions Therefore the system is inconsistent c 3x + 3y = –3 y = –x –1

Chapter 6 Resource Masters - KTL MATH CLASSES

students before beginning Lesson 6-1 Encourage them to add these pages to their Algebra 2 Study Notebook Remind them to add definitions and examples as they complete each lesson Study Guide and Intervention Each lesson in Algebra 2addresses two objectives There is one Study Guide and Intervention master for each objective WHEN TO USE Use

6-1 Study Guide and Intervention - AdamsAmity

n = 6 Exercises Find the sum of the measures of the interior angles of each convex polygon 1 decagon 2 16-gon 3 30-gon 4 octagon 5 12-gon 6 35-gon The measure of an interior angle of a regular polygon is given Find the number of sides in the polygon 7 150 8 160 9 175 10 165 11

Searches related to 6 1 study guide and intervention answer key

NAME DATE PERIOD 1-6 Study Guide and Intervention Solving Compound and Absolute Value Inequalities Compound Inequalities A compound inequality consists of two inequalities joined by the word and or the word or To solve a compound inequality you must solve each part separately Example 1 Solve -3 ? 2x + 5 ? 19

Lesson X-1

NAME DATE PERIOD

Lesson 5-1

PDF Pass

Chapter 5 5 Glencoe Algebra 2

5-1Study Guide and Intervention

Operations with Polynomials

Exercises

Simplify. Assume that no variable equals 0.

1. c 12 c 4 c 6 2. b 8 b 2 3. (a 4 5 4. x 2 y x 4 y 1 5. a 2 b a 3 b 2 1 6. x 2 y xy 3 2 7. 1 2 (-5a 2 b 3 2 abc 2 8. m 7 . m 8 9. 8 m 3 n 2 4 mn 3 10. 2 3 c 4 t 2 2 2 c 4 t 2

11. 4j(-j

2 k 2 )(3 j 3 k 7 ) 12. 2 mn 2 ( 3m 2 n 2 12 m 3 n 4 a. (3m 4 n 2 5 mn 2 (3 m 4 n 2 5 mn 2 = 3m 4 n 2 25
m 2 n 2 = 75m 4 m 2 n-2 n 2 = 75m 4 2 n 2 2 = 75m 6 b. ( -m 4 3 ( 2m 2 2 ( -m 4 3 ( 2 m 2 2 m 12 1 4 m 4 = -m 12 . 4m 4 = -4m

16Product of Powersa

m . a n a m + n for any real number a and integers m and n

Quotient of Powers

a m a n = a m - n for any real number a ≠ 0 and integers m and n.

Properties of Powers

For a, b real numbers and m, n integers:

a m n = a mn ab m = a m b m a b n a n b n , b ≠ 0 a b n b a n or b n a n , a ≠ 0, b ≠ 0

Simplify. Assume that no variable equals 0.

Multiply and Divide Monomials Negative exponents are a way of expressing the multiplicative inverse of a number.

When you

simplify an expression , you rewrite it without powers of powers, parentheses, or negative exponents. Each base appears only once, and all fractions are in simplest form. The following properties are useful when simplifying expressions.Negative Exponents a n 1 a n and 1 a n = a n for any real number a ≠ 0 and any integer n.

Example

c 14 b 6 a 20 y 2 x 6 b a 5 x 2 y 4 25
2 a 6 b 8 c 2 m 15 2 m 2 n 2 12 j 2 k 5 3 2 m 2

001_020_ALG2_A_CRM_C05_CR_660789.indd 5

001_020_ALG2_A_CRM_C05_CR_660789.indd 512/20/10 9:12 PM12/20/10 9:12 PM

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Chapter 5 6 Glencoe Algebra 2

5-1Study Guide and Intervention (continued)

Operations with Polynomials

To add or subtract polynomials, perform the indicated operations and combine like terms.

Simplify 4xy

2 + 12xy - 7x 2 y - (20xy + 5xy 2 - 8x 2 y 4 xy 2 + 12xy - 7x 2 y - (20xy + 5xy 2 - 8x 2 y = 4xy 2 + 12xy - 7x 2 y - 20xy - 5xy 2 + 8x 2 y

Distribute the minus sign.

= (-7x 2 y + 8x 2 y (4 xy 2 - 5xy 2 ) + (12xy - 20xy) Group like terms. = x 2 y - xy 2 - 8xy Combine like terms.

Polynomiala monomial or a sum of monomials

Like Termsterms that have the same variable(s) raised to the same power(s) You use the distributive property when you multiply polynomials. When multiplying binomials, the FOIL pattern is helpful.

Find (6x - 5)(2x + 1).

(6 x - 5)(2x + 1) = 6x

2x + 6x

1 + (-5)

2x + (-5)

First terms Outer terms Inner terms Last terms

= 12x 2 + 6x - 10x - 5 Multiply monomials. = 12x 2 - 4x - 5 Add like terms. FOIL PatternTo multiply two binomials, add the products of F the ? r s t terms, O the outer terms, I the inner terms, and L the last terms.

Find each product.

7. 2x(3x

2 - 5) 8. 7a(6 - 2a - a 2 9. (x 2 - 2)(x 2 - 5) 10. (x + 1)(2x 2 - 3x + 1)

11. (2n

2 - 3)(n 2 + 5n - 1) 12. (x - 1)(x 2 - 3x + 4)Simplify.

1. (6x

2 - 3x + 2) - (4x 2 + x - 3) 2. (7y 2 + 12xy - 5x 2 ) + (6xy - 4y 2 - 3x 2

3. (-4m

2 - 6m) - (6m + 4m 2

4. 27x

2 - 5y 2 + 12y 2 - 14x 2 5. 1 4 x 2 3 8 xy + 1 2 y 2 1 2 xy + 1 4 y 2 3 8 x 2

6. 24p

3 - 15p 2 + 3p - 15p 3 + 13p 2 - 7p

Example 1

Example 2

Exercises

2 x 2 - 4x + 53y 2

18xy - 8x

2 8 m 2 - 12m13x 2 + 7y 2 1 8 x 2 7 8 xy + 3 4 y 2 9 p 3 - 2p 2 - 4p 6 x 3 - 10x42a - 14a 2 - 7a 3 x 4 - 7x 2 + 102xquotesdbs_dbs14.pdfusesText_20

[PDF] 5-1 Study Guide and Intervention

Lesson X-1

NAME DATE PERIOD

Lesson 5-1

PDF Pass

Chapter 5 5 Glencoe Algebra 2

5-1Study Guide and Intervention

Operations with Polynomials

Exercises

Simplify. Assume that no variable equals 0.

11. 4j(-j

16Product of Powersa

Quotient of Powers

Properties of Powers

For a, b real numbers and m, n integers:

Simplify. Assume that no variable equals 0.

When you

Example

001_020_ALG2_A_CRM_C05_CR_660789.indd 5

001_020_ALG2_A_CRM_C05_CR_660789.indd 512/20/10 9:12 PM12/20/10 9:12 PM

NAME DATE PERIOD

PDF Pass

Chapter 5 6 Glencoe Algebra 2

5-1Study Guide and Intervention (continued)

Operations with Polynomials

Operations with Polynomials

Simplify 4xy

Distribute the minus sign.

Polynomiala monomial or a sum of monomials

Find (6x - 5)(2x + 1).

2x + 6x

1 + (-5)

2x + (-5)

First terms Outer terms Inner terms Last terms

Find each product.

7. 2x(3x

11. (2n

1. (6x

3. (-4m

4. 27x

6. 24p

Example 1

Example 2

Exercises

18xy - 8x