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What is the process of expanding an expression in algebra?

Back

Expanding an expression involves rewriting it as a sum of terms, often by applying the distributive property or using formulas such as (a + b)² = a² + 2ab.

Tags

CCSS.6.EE.A.3

Front

What does the logarithmic equation 2log(2x)⁴ = 16 imply about the value of x?

Back

To solve for x, first simplify the equation to log(2x)⁴ = 8, then use the properties of logarithms to find x = 50.

Front

How do you solve a linear equation for a variable?

Back

To solve a linear equation for a variable, isolate the variable on one side of the equation using inverse operations such as addition, subtraction, multiplication, or division.

Tags

CCSS.7.EE.B.4A

Front

What is the significance of the term 'expand' in algebra?

Back

The term 'expand' refers to the process of expressing a polynomial or algebraic expression in its full form, often to facilitate further operations like addition or multiplication.

Tags

CCSS.HSA.APR.A.1

Front

What is the solution to the equation 5x = 46?

Back

To solve for x, divide both sides by 5, resulting in x = 46/5.

Tags

CCSS.6.EE.B.7

Front

What are the properties of logarithms that can be used to simplify logarithmic equations?

Back

The properties of logarithms include the product property (log(a*b) = log(a) + log(b)), the quotient property (log(a/b) = log(a) - log(b)), and the power property (log(a^b) = b*log(a)).

Front

What is the difference between an equation and an expression?

Back

An equation is a mathematical statement that asserts the equality of two expressions, while an expression is a combination of numbers, variables, and operators without an equality sign.

Front

How can you check if your solution to an equation is correct?

Back

To check if your solution is correct, substitute the value back into the original equation and verify if both sides are equal.

Tags

CCSS.6.EE.B.5

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Tags

CCSS.8.EE.C.7B

Front

What is the role of coefficients in algebraic expressions?

Back

Coefficients are numerical factors that multiply the variables in an algebraic expression, determining the weight of each term.

Tags

CCSS.6.EE.A.2B