2. Properties of Real Numbers

7 ∙ 6 - 3x _________ 5(11 - x)

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What is the correct reason for statement 3? Prove: (11m) ∙ 4 + m = 45 m Statements Reasons 1. (11m) ∙ 4 + m 1. Given 2. 4 ∙ (11m) + m 2. Commutative Property 3. (4 ∙ 11) ∙ m + m 3. 4. 44m + m 4. Commutative Property 5. 45m 5. Addition

Associative Property

What is the intersection of the sets A = {2, 5, 6, 14, 16 } and B = {1, 3, 6, 8, 14}

{6, 14}

A golfer's score of 2 under par is represented by - 2 on a number line. How would a golfer's score of 2 over par best be represented?

+ 2

Use the number line given to choose the best answer for the question. What value does point P represent on the number line shown? Number line ranging from negative five to five, with point P labeled at negative two

- 2

Lake Eyre in Australia is approximately 50 feet below sea level. Which answer best describes the location of Lake Eyre as it relates to sea level?

- 50 ft

Simplify. 6m + 7n + 5m - 3n

11m + 4n

⎜18 - 4⎜

14

Evaluate the expression if b = -2. ⎜b⎜

2

Frank starts off with $120 to spend on shirts and shoes. Frank buys 3 shirts for $15.50 each. Shoes cost $32.50 each per pair. How many pairs of shoes can Frank buy?

2

Which terms are like terms in 2y³ - 4y² + y + y³

2y³ and y³

Simplify. 5 - [ - ( - 2 )]

3

Simplify. d = -3, evaluate -d.

3

Which value for x makes the open sentence true? 7 + 6 ∙ = 4² + x²

3

Which value for x makes the open sentence true? 9 ∙ 8 - 2x + x² ≥ x³ + x²

4

Simplify. 4(6 + 7)

52

Which expression shows how 6 ∙ 45 can be rewritten using the distributive property?

6 ∙ 40 + 6 ∙ 5

⎜-4.3⎟+⎜4.3⎜

8.6

Simplify. 5x³ - 2x² + x +4x³

9x³ - 2x² + x

4² + (x - 3)² ________ 28

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What is the correct reason for statement 2? Prove: 1 + 3x + (x ∙ 4) = 7x + 1 Statements Reasons 1. 1 + 3x + (x ∙ 4) 1. Given 2. 1 + 3x + 4x 2. 3. 1 + 7x 3. Addition 4. 7x + 1 4. Commutative Property

Commutative Property

What is the correct reason for statement 5? Prove: 3y + 4 + 6(1 + y) = 9y + 10 Statements Reasons 1. 3y + 4 + 6(1 + y) 1. Given 2. 3y + 4 + (6 + 6y) 2. Distributive Property 3. 3y + (4 + 6) + 6y 3. Associative Property 4. 3y + 10 + 6y 4. Addition 5. 3y + 6y + 10 5. 6. 9y + 10 6. Addition

Commutative Property

Select the correct reasons for statements 1 and 3 to complete the proof. Prove: 4x + 8 ∙ x ∙ 3 = 28x 1. 4x + 8 ∙ x ∙ 3 = 4x + 8 ∙ 3 ∙ x 1. ? 2. 4x + 8 ∙ x ∙ 3 = 4x + 24x 2. Multiplication 3. 4x + 8 ∙ x ∙ 3 = 28x 3. ?

Commutative Property of Multiplication, Addition

What is the correct reason for statement 2? Prove: 2 (w + 6) + 4 = 2w + 16 Statements Reasons 1. 2(w + 6) + 4 1. Given 2. (2w + 12) + 4 2. 3. 2w + (12 + 4) 3. Associative Property 4. 2w + 16 4. Addition

Distributive Property

The results of the 2007 Target Championship Golf Tournament in Los Angeles, California, are given in this table. Chart with two rows and four columns. The first row is labeled Player and contains the name Woods in the first column, Kelly in the second column, Ells under par in the third column, and Garcia in the fourth column. The second row is labeled Score and contains five under par in the first column, two over par in the second column, three under par in the third column, and six under par in the fourth column. Which answer correctly lists the golfers in order from best (lowest score) to worst (highest score)? In golf, par is a score of 0.

Garcia, Woods, Ells, Kelly

his table shows the top athletes that play both football and basketball. What is the intersection of the set of football players and the set of basketball players? Football Basketball Ahmed Corelli Corelli Donaldson Jimenez Jeffers Miller Nicholas Petersen Yao Yao Zamora

Intersection: {Corelli, Yao}

Use the number line to compare the numbers negative 1 and 1 fifth, 0.5, negative 1 fourth , 7 over 8. Number line ranging from negative two to two Which choice lists the numbers in increasing order?

negative 1 and 1 fifth, negative 1 fourth, 0.5 , 7 over 8

Which answer best describes the set of odd numbers between zero and ten?

{1, 3, 5, 7, 9}

What is the intersection of the three sets? A = {1, 2, 3, 4, 5} B = {1, 2, 3, 6, 8} C = {2, 3, 4, 6, 7}

{2, 3}

What is the union of the two sets A = {4, 8, 10, 12, 14} and B = {12, 14}

{4, 8, 10, 12, 14}