Warm Up Simplify

Slides:



Advertisements
Similar presentations
Preview Warm Up California Standards Lesson Presentation.
Advertisements

Pre-Algebra 3-8 Squares and Square Roots Warm Up Simplify
Algebra 9.1 Square Roots I will use the inverse of perfect squares to find approximate values of square roots. I will use square roots to evaluate radical.
Finding Square Roots 3.9.
Course Squares and Square Roots Warm Up Simplify
3-8 Warm Up Problem of the Day Lesson Presentation
Squares and Square Roots
HW # 48- p. 194 # 1-37 odd Warm up Week 14, Day Two Simplify x 2 * y 7 * x -1 * y 3.
Squares and Square Roots Students will be able to find square roots. Students will describe in writing what is meant by a perfect square. 4-5 Warm Up Warm.
Course Estimating Square Roots 4-6 Estimating Square Roots Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson.
Course Estimating Square Roots Warm Up Find the two square roots of each number. Evaluate each expression. 12
Evaluating Algebraic Expressions 4-6Squares and Square Roots NS2.4 Use the inverse relationship between raising to a power and extracting the root of a.
4.1 Exponents, p168. Find the product │ –7 –7 –7│ = (8) = 4. ÷ (8) = (-6) ⁴ = (–6) (–6) (–6) ● (-6) = -6 ⁴ = –1 ( ● 6.
Terra Nova Practice Open-Ended Questions 2. Problem 1  The dimensions of a rectangular kitchen table were 5 ½ feet by 3 ¼ feet. Alice said the dimensions.
Page 142 & Spiral Review Answers
S OLVING FOR R ADIUS AND D IAMETER. W HAT IF WE WANTED TO FIND THE RADIUS AND DIAMETER OF A CIRCLE GIVEN THE AREA ? Use π = 3.14 to find the radius of.
Squares and Square Roots
Evaluating Algebraic Expressions 4-6Squares and Square Roots NS2.4 Use the inverse relationship between raising to a power and extracting the root of a.
Squares and Square Roots 4-5 Warm Up on warm up paper: Homework Textbook 7.1 pg 292 # 1-3, 9 – 13, Solve and graph 2x - 3 > 19 Use order of operations.
Evaluating Algebraic Expressions 4-6Squares and Square Roots Math humor: Why wouldn’t the tree fit in the round pot? Why wouldn’t the tree fit in the round.
Squares and Square Roots
Evaluating Algebraic Expressions 4-6Squares and Square Roots Warm Up Warm Up Lesson Presentation Lesson PresentationPreview.
Squares and Square Roots. Vocabulary Square root- A number that when multiplied by itself forms a product. Principal square root- the nonnegative square.
4.6/4.7 Squares and Square Roots/Estimating Square Roots, p192/96 Warm Up Simplify = = = = = NS2.4 Use the inverse.
Squares and Square Roots 4-5 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
Warm Up Simplify
Course Estimating Square Roots 4-6 Estimating Square Roots Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson.
Squares and Square Roots 3-5 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
Adding and Subtracting Radical Expressions 11-7
4.6/4.7 Squares and Square Roots/Estimating Square Roots, p192/96 Warm Up Simplify = = = = = NS2.4 Use the inverse.
Solving Quadratic Equations by Using Square Roots 8-7
Solving Quadratic Equations by Using Square Roots 8-7
9/8/17 Squares and Square Roots Pre-Algebra.
A B C D Solve x2 + 8x + 16 = 16 by completing the square. –8, 0
Squares and Square Roots
EQ: How do I simplify and perform operations with radical functions?
Warm Up Myra drove at a speed of 60 miles per hour. Write an algebraic expression to model this. How far had she traveled after 1 hour? What about after.
Preview Warm Up California Standards Lesson Presentation.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Warm Up(Add to HW) Find each square root. Solve each equation.
Estimating Square Roots
Warm Up Find each square root. Solve the equation. 3. 2x – 40 = 0 1.
Expressions and Formulas
Squares and Square Roots
Imaginary Numbers.
Warm Up Simplify
Why do you learn square roots?
Warm Up Simplify
Learn to find square roots.
to estimate square roots to a given number of decimal places and
Multiply Polynomials Warm Up Lesson Presentation Lesson Quiz.
Adding and Subtracting Radical Expressions 11-7
3-8 Warm Up Problem of the Day Lesson Presentation
Adding and Subtracting Radical Expressions 11-7
Adding and Subtracting Radical Expressions 11-7
Solving Quadratic Equations by Using Square Roots 9-7
1-3 Square Roots Warm Up Lesson Presentation Lesson Quiz
Solving Quadratic Equations by Using Square Roots 8-7
Solving Quadratic Equations by Using Square Roots 8-7
1-3 Square Roots Warm Up Lesson Presentation Lesson Quiz
Algebra 1 Section 12.3.
3-8 Warm Up Problem of the Day Lesson Presentation
Adding and Subtracting Radical Expressions 11-7
Solving Quadratic Equations by Using Square Roots 8-7
Exercise Every positive number has how many real square roots? 2.
Solving Quadratic Equations by Using Square Roots 8-7
Bell Work Write each of the following as a decimal or a fraction….
Adding and Subtracting Radical Expressions 11-7
Solving Quadratic Equations by Using Square Roots 8-7
Warm Up Simplify
Presentation transcript:

Warm Up Simplify. 1. 52 2. 82 25 64 3. 122 4. 152 144 225 5. 202 400

Vocabulary Principal square root Perfect square

Think about the relationship between the area of a square and the length of one of its sides. Area = 36 square units Side length = 36 = 6 units

Every positive number has two square roots, one positive and one negative. One square root of 16 is 4, since 4 • 4 = 16. The other square root of 16 is –4, since (–4) • (–4) is also 16. You can write the square roots of 16 as ±4, meaning “plus or minus” 4. –49 is not the same as – 49. A negative number has no real square root. Caution!

A. 49 B. 100 C. 225 Find the two square roots of each number. 49 = 7 49 = 7 7 is a square root, since 7 • 7 = 49. 49 = –7 – –7 is also a square root, since –7 • –7 = 49. B. 100 100 = 10 10 is a square root, since 10 • 10 = 100. 100 = –10 – –10 is also a square root, since –10 • –10 = 100. C. 225 225 = 15 15 is a square root, since 15 • 15 = 225. 225 = –15 – –15 is also a square root, since –15 • –15 = 225.

A. 25 B. 144 C. 289 Find the two square roots of each number. 25 = 5 25 = 5 5 is a square root, since 5 • 5 = 25. 25 = –5 –5 is also a square root, since –5 • –5 = 25. B. 144 144 = 12 12 is a square root, since 12 • 12 = 144. 144 = –12 –12 is also a square root, since –12 • –12 = 144. C. 289 17 is a square root, since 17 • 17 = 289. 289 = 17 289 = –17 –17 is also a square root, since –17 • –17 = 289.

Application Example: A square window has an area of 169 square inches. How wide is the window? Find the square root of 169 to find the width of the window. Use the positive square root; a negative length has no meaning. 132 = 169 So 169 = 13. The window is 13 inches wide. The area of a square is s2, where s is the length of a side. Remember!

Application Example 2 A square shaped kitchen table has an area of 16m2. Will it fit through a van door that has a 5m door opening? Find the square root of 16 to find the width of the table. Use the positive square root; a negative length has no meaning. 16 = 4 So the table is 4m wide, which is less than 5 feet, so it will fit through the van door.

Evaluating Expressions Involving Square Roots Evaluate the expression. 3 36 3 36 = 3(6) Evaluate the square root. = 18 = 25

Check It Out: Example 3A Evaluate the expression. 2 25 + 4 2 25 + 4 = 2(5) + 4 Evaluate the square root. = 10 + 4 Multiply. = 14 Add.

±9 ±50 13 7 45 m Assessment Find the two square roots of each number. 1. 81 2. 2500 Evaluate each expression. 3. 3 16 + 1 4. 7 9 – 2 49 ±9 ±50 13 7 5. Ms. Estefan wants to put a fence around 3 sides of a square garden that has an area of 225m2. How much fencing does she need? 45 m