Algebra Review: Simplify and Solve Equations

Front

What is the first step to solve the equation 3(m − 8) = −9?

Back

Distribute the 3 to both terms inside the parentheses: 3m - 24 = -9.

Front

How do you isolate the variable in the equation -(8n - 2) = 3 + 10(1 - 3n)?

Back

First, distribute the negative sign and the 10, then combine like terms to isolate n.

Front

What does it mean to simplify an equation?

Back

To simplify an equation means to reduce it to its simplest form, combining like terms and eliminating unnecessary elements.

Front

What is the solution to the equation 28 = 4(y − 5)?

Back

y = 12.

Front

How do you combine like terms in the expression 5a + 2b - 3a + 4?

Back

Combine the coefficients of like terms: (5a - 3a) + 2b + 4 = 2a + 2b + 4.

Front

What is the solution to the equation 2(x + 9) = 24?

Back

x = 3.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

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.

Front

What is the distributive property in algebra?

Back

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

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable, such as 3 in 3x.