Choose the best definition for the following term: variable

Question

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.

Answer 1

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

Answer 2

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