Lesson Quizzes Preview 1-1 Variables and Expressions

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1 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

2 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

3 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

4 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

5 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

6 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

7 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

8 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

9 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.

10 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.