TCA 3 One Variable Algebra

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression, even though it may look different.

Front

How do you solve the equation 4x + x = -50?

Back

Combine like terms to get 5x = -50, then divide both sides by 5 to find x = -10.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the first step in solving the equation g + 1.5 = 12?

Back

Subtract 1.5 from both sides to isolate g: g = 12 - 1.5.

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Back

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation 12 / 1.5 = g?

Back

The solution is g = 8, since 12 divided by 1.5 equals 8.

Front

What is the purpose of using parentheses in algebraic expressions?

Back

Parentheses indicate which operations should be performed first in an expression, following the order of operations.