1. Holt CA Course 2 1-1 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

2. Holt CA Course 2 1-1 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.

3. Holt CA Course 2 1-1 Evaluating Algebraic Expressions 4-2 Integer Exponents Lesson Quiz Simplify the powers of 10. 1. 10 –3 0.001 2. 10 –7 0.0000001 Simplify. 3. (–6) –2 4. 4 2 –3 +10 –1 5. 8 0 –(11 – 2 4 ) –2 1 36 3535 24 25 6. Evaluate (4w) –2 + w –1 for w = 4. 65 256

4. Holt CA Course 2 1-1 Evaluating Algebraic Expressions 4-3 Properties of Exponents Lesson Quiz 3. 8 9 n 7 1. n 3  n 4 10 9 10 5 10 4 4. t 2 5. 3 2 3 3 3 5 3 10 2. 8 8 8 t 9 t 7 6. (m 2 ) 19 m 38 7. (9 -8 ) 9 8. (10 4 ) 0 1 Simplify each expression. Write your answer in exponential form. 1 9 72

5. Holt CA Course 2 1-1 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. 3. 4. 5. 36m 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 21 243m 10 n 5

6. Holt CA Course 2 1-1 Evaluating Algebraic Expressions 4-5 Scientific Notation Lesson Quiz Write each number in standard form. 1. 1.72  10 4 2. 6.9  10 –3 4. 57,000,000 17,200 0.0069 3. 0.0053 5.3  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

7. Holt CA Course 2 1-1 Evaluating Algebraic Expressions 4-6 Squares and Square Roots Lesson Quiz 1250 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. 1. 144 2. 2500 Simplify each expression. 3. 49p 6 4. z 8

8. Holt CA Course 2 1-1 Evaluating Algebraic Expressions 4-7 Estimating Square Roots Lesson Quiz Each square root is between two integers. Name the integers. 1. 27 2. 456 3. Approximate 189 to the nearest hundredth. 4. Use a calculator to find 1219. 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 22 13.75 34.9 12 ft

9. Holt CA Course 2 1-1 Evaluating Algebraic Expressions 4-8 Real Numbers Lesson Quiz Write all classifications that apply to each number. 1. 2. – State if each number is rational, irrational, or not a real number. 3. 4. Find a real number between –2 and –2. 3838 3434 5. 2 4 9 16 2 25 0 not a real number rational real, irrational real, integer, rational Possible answer: –2 5858

10. Holt CA Course 2 1-1 Evaluating Algebraic Expressions 4-9 The Pythagorean Theorem Lesson Quiz 21 in. 40 m Use the Pythagorean Theorem to find each missing measure. 1. 2. 3. 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, 65 4. 2.5, 3, 4.5 Tell whether the given side lengths form a right triangle.