To which subset of real numbers does the following number belong? 10−−√ (1 point) Responses rational numbers rational numbers irrational numbers irrational numbers whole numbers, integers, rational numbers whole numbers, integers, rational numbers Question 2 Simplify the following expression. 2x +84 (1 point) Responses 2x4 +41 2x4 +41 2x + 2 2x + 2 x2 + 2 x2 + 2 Question 3 What is the algebraic expression for the following word phrase: the sum of 2x and 5(1 point) Responses 2x-5 2x-5 2x+5 2x+5 2x(5) 2x(5) Question 4 Evaluate Evaluate: az + bw2 for a =8 b =2, w =3 z =4 (2 points) Your solution is: Question 5 25−−√ is a rational number (1 point) Responses True True False False Question 6 Which property is illustrated by the following statement? (2x)yz = 2(xy)z (1 point) Responses Associative Property of Multiplication Associative Property of Multiplication Commutative Property of Multiplication Commutative Property of Multiplication Inverse Property of Multiplication Inverse Property of Multiplication Question 7 What is the simplified form of the following expression? (23)2 (1 point) Your solution is: Question 8 The temperature at the end of the day was 80 degrees. The temperature had increased twice during the day, once of 8 degrees and another time by 4 degrees. What was the temperature at the start of the day? (2 points) Your solution is: Question 9 What is the algebraic expression for the following expression for the following word phrase: the sum of 3x and 7(1 point) Responses 3x +7 3x +7 3x(7) 3x(7) 3x ÷ 7 3x ÷ 7 Question 10 What is the simplified form of the following expression? 8xy−2x (1 point) Your solution is: Question 11 Note: Your teacher will grade your response to ensure that you receive proper credit for your answer. A gym membership costs $15 to join and $10 each month. Write and use an algebraic expression to the find the cost of the gym for 6 months. (4 points) No file chosen Supported file formats: PDF, JPG, GIF, PNG 0 / 4 File Limit Question 12 Simplify the following expression. 18(16−24x) (2 points) Your solution is: Question 13 What is the simplified form of the following expression? 10[ 62 ÷ ( 18−9) +7 ] (2 points) Your solution is: Skip to navigation
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1. The number 10−√ belongs to the subset of irrational numbers.
2. The expression 2x + 84 simplifies to 2x + 84.
3. The algebraic expression for the word phrase "the sum of 2x and 5" is 2x + 5.
4. Evaluating az + bw^2 for a=8, b=2, w=3, and z=4, we get (8)(4) + (2)(3^2) = 32 + 18 = 50.
5. The statement "25−√ is a rational number" is false.
6. The property illustrated by the statement (2x)yz = 2(xy)z is the associative property of multiplication.
7. The simplified form of (23)^2 is 529.
8. If the temperature at the end of the day was 80 degrees and it increased twice by 8 degrees and 4 degrees, then the temperature at the start of the day was 80 - 8 - 4 = 68 degrees.
9. The algebraic expression for the word phrase "the sum of 3x and 7" is 3x + 7.
10. The simplified form of 8xy − 2x is 6xy.
11. The cost of the gym for 6 months can be calculated using the algebraic expression Cost = 15 + (10 * 6) = 15 + 60 = 75 dollars.
12. The expression 18(16−24x) simplifies to 288 - 432x.
13. The simplified form of 10[ 62 ÷ ( 18−9) +7 ] is 100.
To which subset of real numbers does the following number belong? 10−−√ (1 point) Responses rational numbers rational numbers irrational numbers irrational numbers whole numbers, integers, rational numbers whole numbers, integers, rational numbers Question 2 Simplify the following expression. 2x +84 (1 point) Responses 2x4 +41 2x4 +41 2x + 2 2x + 2 x2 + 2 x2 + 2 Question 3 What is the algebraic expression for the following word phrase: the sum of 2x and 5(1 point) Responses 2x-5 2x-5 2x+5 2x+5 2x(5)
The number 10−√ belongs to the subset of irrational numbers.
The expression 2x + 84 simplifies to 2x + 84.
The algebraic expression for the word phrase "the sum of 2x and 5" is 2x + 5.
Question 1: To determine the subset of real numbers to which the given number belongs (10-√), we need to identify if it is a rational or irrational number.
To do this, we can check if the number inside the square root (√) is a perfect square. In this case, 10 is not a perfect square since there is no whole number whose square is exactly 10. Therefore, the number 10-√ is an irrational number.
Answer: irrational numbers
Question 2: To simplify the expression 2x + 84, we can combine like terms.
The terms 2x and 84 cannot be combined since they are not like terms. Therefore, the expression cannot be further simplified.
Answer: 2x + 84
Question 3: The word phrase "the sum of 2x and 5" can be translated to the algebraic expression 2x + 5.
Answer: 2x + 5
Question 4: To evaluate the expression az + bw^2 for a = 8, b = 2, w = 3, and z = 4, we substitute the given values into the expression and perform the necessary calculations.
az + bw^2 = 8(4) + 2(3^2) = 32 + 2(9) = 32 + 18 = 50
Answer: 50
Question 5: To determine if 25-√ is a rational number, we need to check if the number inside the square root (√) is a perfect square.
In this case, 25 is a perfect square since its square root is 5. Therefore, 25-√ is not an irrational number.
Answer: False
Question 6: The property illustrated by the statement (2x)yz = 2(xy)z is the Associative Property of Multiplication. This property states that the grouping of factors in a multiplication expression does not change the product.
Answer: Associative Property of Multiplication
Question 7: To simplify the expression (23)^2, we need to perform the exponentiation operation.
(23)^2 = 23 * 23 = 529
Answer: 529
Question 8: The temperature at the start of the day can be found by subtracting the total increase in temperature from the temperature at the end of the day.
Temperature at the start of the day = Temperature at the end of the day - Total increase in temperature
Temperature at the start of the day = 80 - (8 + 4) = 80 - 12 = 68
Answer: 68 degrees
Question 9: The word phrase "the sum of 3x and 7" can be translated to the algebraic expression 3x + 7.
Answer: 3x + 7
Question 10: To simplify the expression 8xy - 2x, we can combine like terms.
The terms 8xy and -2x are like terms since they both contain a factor of x. Therefore, we can combine them by subtracting 2x from 8xy.
Simplified form: 8xy - 2x
Answer: 8xy - 2x
Question 11: The cost of the gym for 6 months can be calculated by adding the initial joining fee of $15 to the monthly fee multiplied by the number of months.
Cost of gym membership for 6 months = $15 + ($10 * 6) = $15 + $60 = $75
Answer: $75
Question 12: To simplify the expression 18(16 - 24x), we need to apply the distributive property.
18(16 - 24x) = 18 * 16 - 18 * 24x = 288 - 432x
Answer: 288 - 432x
Question 13: To simplify the expression 10[62 ÷ (18 - 9) + 7], we need to perform the operations inside the brackets before proceeding with the multiplication.
62 ÷ (18 - 9) = 62 ÷ 9 = 6.89 (approx.)
Now, substituting this result back into the expression:
10[6.89 + 7] = 10 * 13.89 = 138.9
Answer: 138.9