Cumulative Algebra Review Sep Oct Nov

Front

What is the formula for calculating the weekly allowance if half is spent and additional earnings are made?

Back

Let A be the allowance. If half is spent, then A/2 + 7 = 17. Therefore, A = 20.

Front

What is the first step to solve the equation 6(6v + 6) - 5 = 1 + 6v?

Back

Distribute the 6: 36v + 36 - 5 = 1 + 6v, then simplify.

Front

What does the equation y = mx + b represent in algebra?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

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Back

Front

What is the solution to the equation - (3v + 1) + 7(6v + 6) = -37?

Back

The solution is v = -2.

Front

What does 'distributive property' mean in algebra?

Back

It states that a(b + c) = ab + ac.

Front

What is the definition of a variable in algebra?

Back

A symbol, usually a letter, that represents a number in mathematical expressions or equations.

Front

What is the purpose of combining like terms in an algebraic expression?

Back

To simplify the expression and make it easier to solve.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.

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

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.