Holt CA Course Evaluating Algebraic Expressions Preview 4-1: ExponentsExponents 4-2: Integer ExponentsInteger Exponents 4-3: Properties of ExponentsProperties of Exponents 4-4: Multiplying and Dividing PolynomialsMultiplying and Dividing Polynomials 4-5: Scientific NotationScientific Notation 4-6: Squares and Square RootsSquares and Square Roots 4-7: Estimating Square RootsEstimating Square Roots 4-8: The Real NumbersThe Real Numbers 4-9: The Pythagorean TheoremThe Pythagorean Theorem Lesson Quizzes
Holt CA Course Evaluating Algebraic Expressions 4-1 Exponents Lesson Quiz Write in exponential form. 1. n n n n 2. (–8) (–8) (–8) (h) 256 –213 (–8) 3 h 3. (–4) 4 5. Evaluate xz – y x for x = 5, y = 3, and z = 6. n4n4 6. A population of bacteria doubles in size every minute. The number of bacteria after 5 minutes is 15 2 5. How many are there after 5 minutes? 480 Simplify. 4.
Holt CA Course Evaluating Algebraic Expressions 4-2 Integer Exponents Lesson Quiz Simplify the powers of – – Simplify. 3. (–6) – –3 +10 – –(11 – 2 4 ) – Evaluate (4w) –2 + w –1 for w =
Holt CA Course Evaluating Algebraic Expressions 4-3 Properties of Exponents Lesson Quiz n 7 1. n 3 n t t 9 t 7 6. (m 2 ) 19 m (9 -8 ) 9 8. (10 4 ) 0 1 Simplify each expression. Write your answer in exponential form
Holt CA Course Evaluating Algebraic Expressions 4-4 Multiplying and Dividing Monomials Lesson Quiz Multiply. 1. (3g 2 h 3 )(–6g 7 h 2 ) 2. (12m 3 )(3mp 3 ) Divide. Assume that no denominator equals zero m 4 p 3 –18g 9 h 5 2a4b32a4b3 3 2 x –5p 3 6a6b43a2b6a6b43a2b 9x3y6x2y9x3y6x2y 20p 5 q –4p 2 q Simplify. 6.(–5y 7 ) 3 7. (3c 2 d 3 ) 4 8. (3m 2 n) 5 81c 8 d 12 –125y m 10 n 5
Holt CA Course Evaluating Algebraic Expressions 4-5 Scientific Notation Lesson Quiz Write each number in standard form 10 – ,000,000 17, 10 –3 5.7 10 7 Write each number in scientific notation. 5. Order the numbers from least to greatest. T 2 10 –4, 9 10 –5, 7 10 –5 7 10 –5, 9 10 –5, 2 10 –4 6. A human body contains about 5.6 10 6 microliters of blood. Write this number in standard notation. 5,600,000
Holt CA Course Evaluating Algebraic Expressions 4-6 Squares and Square Roots Lesson Quiz 1250 7|p 3 | z4z4 5. Ms. Estefan wants to put a fence around 3 sides of a square garden that has an area of 225 ft 2. How much fencing does she need? 45 ft Find the two square roots of each number Simplify each expression p 6 4. z 8
Holt CA Course Evaluating Algebraic Expressions 4-7 Estimating Square Roots Lesson Quiz Each square root is between two integers. Name the integers Approximate 189 to the nearest hundredth. 4. Use a calculator to find Round to the nearest tenth. 5. A square room requires 154 ft 2 of wall-to-wall carpeting to cover the floor. What is the length of each side of the room? Round your answer to the nearest foot. 5 and 621 and ft
Holt CA Course Evaluating Algebraic Expressions 4-8 Real Numbers Lesson Quiz Write all classifications that apply to each number – State if each number is rational, irrational, or not a real number Find a real number between –2 and – not a real number rational real, irrational real, integer, rational Possible answer: –2 5858
Holt CA Course Evaluating Algebraic Expressions 4-9 The Pythagorean Theorem Lesson Quiz 21 in. 40 m Use the Pythagorean Theorem to find each missing measure Each rectangular section of a fence is braced by a board nailed on the diagonal of the section. The fence is 6 ft tall and the brace is 10 ft long. What is the length of the section? 8 ft no yes 5. 33, 56, , 3, 4.5 Tell whether the given side lengths form a right triangle.