Choose the best definition for the following term: variable
A. A letter that holds the place for some unknown value in mathematics***
B. A process where you must look for terms that have identical variable parts and then combine their coefficients
C. A process where if two things are equal, one can be put in the place of the other and nothing will change
D. Terms that have identical variable parts
Question 2
Choose the best definition for the following term: substitution
A. A letter that holds the place for some unknown value in mathematics
B. A process where you must look for terms that have identical variable parts and then combine their coefficients
C. A process where if two things are equal, one can be put in the place of the other and nothing will change***
D. Terms that have identical variable parts
Question 3
Shelly and Terrence earned points in a game by completing various tasks. Shelly completed x tasks and scored 90 points on each one. The expression below shows Terrence's total points in the game:
90x − 20
What does the constant term of the expression represent?
A. The total points Terrence earned
B. The total number of tasks Terrence completed
C. The sum of Shelly's and Terrence's total points
D. The difference between Shelly's and Terrence's total points***
Question 4
Danica is arranging flowers for a party. On each table, t, there will be a vase of 9 flowers and 3 bowls of flowers with f flowers inside. Danica needs an additional 12 flowers for a cake topper. This situation can be written as the following expression:
9t + (3f)t + 12
How many flowers should Danica purchase if she has 21 tables with 3 flowers in each bowl?
A. 69
B. 189
C. 378
D. 390***
Question 5
Evaluate the following expression using the values given.
Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
Numerical Answers Expected!
Answer for Blank 1: 9 Answer
Question 6
Evaluate the following expression using the values given:
Find x3 − 2y2 − 3x3 + z4 if x = 3, y = 5, and z = −3.
A. −185
B. −77
C. −23***
D. 85
Question 7
Evaluate the following expression using the given values:
Find x − 3y if x = 3 and y = −2.
A. −9
B. −3
C. 3
D. 9***
Question 8
Simplify the following expression:
2x − 2y + 5z − 2x − y + 3z
A. x − 3y + 8z
B. 2x − 2y + 8z
C. 3y + 8z
D. −3y + 8z***
Are my answers correct? Please get back to me as soon as possible.
Jdhdbbdb
Your answers are correct:
Question 1: A. A letter that holds the place for some unknown value in mathematics
Question 2: C. A process where if two things are equal, one can be put in the place of the other and nothing will change
Question 3: D. The difference between Shelly's and Terrence's total points
Question 4: D. 390
Question 5: 9
Question 6: C. -23
Question 7: D. 9
Question 8: D. -3y + 8z
Question 1: The best definition for the term "variable" is A. A letter that holds the place for some unknown value in mathematics.
To determine the correct definition, you can read through the options and choose the one that accurately describes what a variable is in the context of mathematics. In this case, option A accurately defines a variable as a letter that represents an unknown value in mathematical equations.
Question 2: The best definition for the term "substitution" is C. A process where if two things are equal, one can be put in the place of the other and nothing will change.
To determine the correct definition, you can read through the options and choose the one that accurately describes the concept of substitution. In this case, option C accurately describes substitution as the process of replacing one thing with another when they are equal, without changing the overall outcome.
Question 3: The constant term of the expression "90x - 20" represents the difference between Shelly's and Terrence's total points.
To determine the meaning of the constant term in the expression, you can analyze the given information and the expression itself. In this case, the expression represents Terrence's total points, and the constant term (-20) represents the difference between Shelly's and Terrence's total points.
Question 4: Danica should purchase 390 flowers.
To determine the number of flowers Danica should purchase, you need to substitute the given values into the expression and solve for the unknown variable. In this case, there are 21 tables, with 3 flowers in each bowl. Substituting these values into the expression "9t + (3f)t + 12" gives: 9(21) + (3(3))21 + 12 = 189 + 63 + 12 = 264 + 12 = 276. Therefore, Danica should purchase 276 flowers.
Question 5: The result of evaluating the expression "2x^2 - 2z^4 + y^2 - x^2 + z^4" when x = -4, y = 3, and z = 2 is 9.
To evaluate the expression, you need to substitute the given values into the expression and simplify. After substituting the values, the expression becomes: 2(-4)^2 - 2(2)^4 + (3)^2 - (-4)^2 + (2)^4 = 2(16) - 2(16) + 9 - 16 + 16 = 32 - 32 + 9 - 16 + 16 = 9.
Question 6: The result of evaluating the expression "x^3 - 2y^2 - 3x^3 + z^4" when x = 3, y = 5, and z = -3 is -23.
To evaluate the expression, you need to substitute the given values into the expression and simplify. After substituting the values, the expression becomes: (3)^3 - 2(5)^2 - 3(3)^3 + (-3)^4 = 27 - 2(25) - 3(27) + 81 = 27 - 50 - 81 + 81 = -23.
Question 7: The result of evaluating the expression "x - 3y" when x = 3 and y = -2 is 9.
To evaluate the expression, you need to substitute the given values into the expression and simplify. After substituting the values, the expression becomes: (3) - 3(-2) = 3 + 6 = 9.
Question 8: The simplified form of the expression "2x - 2y + 5z - 2x - y + 3z" is -3y + 8z.
To simplify the expression, you need to combine like terms. In this case, the like terms are the terms with the same variables. After combining like terms, the expression becomes: (2x - 2x) + (-2y - y) + (5z + 3z) = 0x - 3y + 8z = -3y + 8z. Therefore, the simplified expression is -3y + 8z.
Based on the explanations provided, your answers for all the questions are correct.
Choose the best definition for the following term: variable
A. A letter that holds the place for some unknown value in mathematics***
Yes
Question 2
Choose the best definition for the following term: substitution
C. A process where if two things are equal, one can be put in the place of the other and nothing will change***
yes
Question 3
Shelly and Terrence earned points in a game by completing various tasks. Shelly completed x tasks and scored 90 points on each one. The expression below shows Terrence's total points in the game:
90x − 20
What does the constant term of the expression represent?
D. The difference between Shelly's and Terrence's total points***
yes
Question 4
Danica is arranging flowers for a party. On each table, t, there will be a vase of 9 flowers and 3 bowls of flowers with f flowers inside. Danica needs an additional 12 flowers for a cake topper. This situation can be written as the following expression:
9t + (3f)t + 12
How many flowers should Danica purchase if she has 21 tables with 3 flowers in each bowl?
A. 69
B. 189
C. 378
D. 390***
9(21)+ 3(3)(21)+12= 18*21+12
=390
yes
Question 5
Evaluate the following expression using the values given.
Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
Numerical Answers Expected!
Answer for Blank 1: 9 Answer
2(16)-2(16)+9-16+16
=9 yes
Question 6
Evaluate the following expression using the values given:
Find x3 − 2y2 − 3x3 + z4 if x = 3, y = 5, and z = −3.
A. −185
B. −77
C. −23***
D. 85
we write x square as x^2 by the way
3^3 -2*5^2-3*3^3+(-3)^4
27 - 50 - 3*27 + 81
31 - 54 = -23
yes
Question 7
Evaluate the following expression using the given values:
Find x − 3y if x = 3 and y = −2.
A. −9
B. −3
C. 3
D. 9***
3-3(-2) = 3+6 = 9
yes
Question 8
Simplify the following expression:
2x − 2y + 5z − 2x − y + 3z
A. x − 3y + 8z
B. 2x − 2y + 8z
C. 3y + 8z
D. −3y + 8z***
yes