Unit 1 and Unit 2 Final Exam Prep

Front

What is a solution in the context of equations?

Back

A solution is a value that makes an equation true when substituted for the variable.

Front

What does it mean if an equation has no solution?

Back

It means there is no value that can be substituted for the variable to make the equation true.

Front

Solve for x: 4x + 2x + 2 = 3x - 7

Back

x = -3

Front

Solve for x: 8(x + 2) = 2x + 16

Back

x = 0

Front

What is the process of combining like terms in an expression?

Back

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

Front

Simplify the expression: 3e + 4 + 6 - e

Back

2e + 10

Front

Simplify the expression: 7v + 4 - 3v + 6

Back

3v + 10

Front

What is the definition of a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

Front

What does it mean for an equation to have infinite solutions?

Back

It means that there are countless values that can satisfy the equation, often occurring when two equations represent the same line.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.