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Lesson Quizzes Preview 1-1 Variables and Expressions
1-2 Adding and Subtracting Real Numbers 1-3 Multiplying and Dividing Real Numbers 1-4 Powers and Exponents 1-5 Roots and Irrational Numbers 1-6 Properties of Real Numbers 1-7 Simplifying Expressions
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1-1 Variables and Expressions
Lesson Quiz: Part I Give two ways to write each algebraic expression in words. 1. j – 3 2. 4p 3. Mark is 5 years older than Juan, who is y years old. Write an expression for Mark’s age. Possible answers: The difference of j and 3; 3 less than j. Possible answers: 4 times p; The product of 4 and p. y + 5
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1-1 Variables and Expressions
Lesson Quiz: Part II Evaluate each expression for the replacement set {5, 8, 12}. d Shemika practices basketball for 2 hours each day. d 2 5 2 ; 4; 6 11; 14; 18 6. Write an expression for the number of hours she practices in d days. 7. Find the number of hours she practices in 5, 12, and 20 days. 2d 10 hours; 24 hours; 40 hours
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1-2 Adding and Subtracting Real Numbers
Lesson Quiz Add or subtract using a number line. 1. –2 + 9 7 2. –5 – (–3) –2 Add or subtract. 3. – 19 – (–3.7) 8.2 5. 6. The temperature at 6:00 A.M. was –23°F. At 3:00 P.M., it was 18°F. Find the difference in the temperatures. 41°F
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1-3 Multiplying and Dividing Real Numbers
Lesson Quiz Find the value of each expression. 1. 35 –7 –5 2. 2(–6) –12 Multiply or divide if possible. 3. –3 ÷ 1 3 4 (0) 4. –2 1 3 – 12 7 5. – 0 3 4 undefined 6. A cyclist traveled on a straight road for 1 hours at a speed of 12 mi/h. How many miles did the cyclist travel? 1 4 15 miles
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n n 1-4 Powers and Exponents Lesson Quiz
1. Write the power represented by the geometric model. n2 n Simplify each expression. 3. –63 −216 2. 4. 6 216 5. (–2)6 64 Write each number as a power of the given base. ; base 7 73 7. 10,000; base 10 104
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1-5 Roots and Irrational Numbers
Lesson Quiz Find each square root. 4. 1. 3 2. 3. 5 1 5. The area of a square piece of cloth is 68 in2. Estimate to the nearest tenth the side length of the cloth. 8.2 in. Write all classifications that apply to each real number. 6. –3.89 rational, repeating decimal 7. irrational
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1-6 Properties of Real Numbers
Lesson Quiz: Part I Name the property that is illustrated in each equation. 1. 6(rs) = (6r)s Associative Property of Multiplication 2. (3 + n) + p = (n + 3) + p Commutative Property of Addition 3. (3 + n) + p = 3 + (n + p) Associative Property of Addition 4. Find a counterexample to disprove the statement “The Commutative Property is true for division.” Possible answer: 3 ÷ 6 ≠ 6 ÷ 3
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1-6 Properties of Real Numbers
Lesson Quiz: Part II Write each product using the Distributive Property. Then simplify. 5. 8(21) 8(20) + 8(1) = 168 6. 5(97) 5(100) – 5(3) = 485 Find a counterexample to show that each statement is false. 7. The natural numbers are closed under subtraction. Possible answer: 6 and 8 are natural, but 6 – 8 = –2, which is not natural. 8. The set of even numbers is closed under division. Possible answer: 12 and 4 are even, but 12 ÷ 4 = 3, which is not even.
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1-7 Simplifying Expressions
Lesson Quiz Simplify each expression. 2. 200 8 3. The volume of a storage box can be found using the expression lw(w + 2). Find the volume of the box if l = 3 feet and w = 2 feet. 24 ft³ Simplify each expression by combining like terms. 4. 5. 14c2 – 9c 14c2 – 9c 6. Use properties and operations to show that 24a + b² + 3a + 2b² simplifies to 27a + 3b². Check students’ work.
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