Q
What is the solution to the equation 3(x + 4) = 21 in algebra?

Answer & Solution

Answer: Option B
Solution:
To solve the equation 3(x + 4) = 21, first distribute the 3: 3x + 12 = 21, then solve for x: 3x = 9, x = 3.
Related Questions on Average

What is the solution to the equation 2x + 3 = 7 in algebra?

A). x = 4

B). x = 2

C). x = 5

D). x = 1

In algebraic expressions, what does the term 'exponent' represent?

A). The number being multiplied

B). The result of multiplication

C). The base raised to a power

D). The constant term

Which of the following is a trinomial in algebra?

A). 2x^2 + 5

B). 3x^3 + 2x^2 - x

C). x^2 - 4 + 6

D). 4x + 7

What is the correct order of operations in algebraic expressions?

A). Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

B). Exponents, Parentheses, Addition/Subtraction, Multiplication/Division

C). Multiplication/Division, Exponents, Addition/Subtraction, Parentheses

D). Addition/Subtraction, Multiplication/Division, Exponents, Parentheses

What is the purpose of using variables in algebra?

A). Representing unknown quantities

B). Making calculations faster

C). Adding complexity to equations

D). Ignoring numerical values

Which property of algebra allows you to add or multiply terms in any order?

A). Commutative property

B). Associative property

C). Distributive property

D). Identity property

Which of the following is a valid algebraic identity?

A). (x + y)^2 = x^2 + y^2

B). (x + y)(x - y) = x^2 + y^2

C). (x + y)^2 = x^2 - y^2

D). x^2 - y^2 = (x + y)^2

What is the degree of the polynomial 4x^3 + 2x^2 - x + 7?

A). 1

B). 2

C). 3

D). 4

In algebraic expressions, what does the term 'coefficient' refer to?

A). The constant part of the expression

B). The highest power of a variable

C). The number in front of a variable

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Which of the following is a variable in algebra?

A). x + 5

B). 10

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D). y * z