Algebra Solve One Variable Equation Review

Front

Simplify the equation: 3x - 7 = 3(x - 3) + 2. Does it have one, no, or infinite solutions?

Back

The equation has infinite solutions.

Front

Given f(x) = -4x - 10 and f(x) = 10, find x.

Back

x = -5.

Front

Solve for w in the equation A = l/w.

Back

w = l/A.

Front

Solve the equation: 2(4x-3) - 8 = 4 + 2x.

Back

x = 3.

Front

Solve the equation: 10x + 9 = 4x - 9.

Back

x = -3.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol used to represent an unknown value.

Front

What does it mean to solve an equation?

Back

To find the value(s) of the variable(s) that make the equation true.

Front

What is the distributive property?

Back

a(b + c) = ab + ac.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

What is the difference between one solution, no solution, and infinite solutions?

Back

One solution means a single value satisfies the equation, no solution means no value satisfies it, and infinite solutions mean any value satisfies the equation.