Unit 1 and Unit 2 Final Exam Prep

Front

What is a solution to an equation?

Back

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

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values that can be substituted for the variable to make the equation true.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value substituted for the variable makes the equation true.

Front

Solve for f: 2(4f + 2) = 28

Back

f = 6

Front

What is the result of simplifying the expression 3e + 4 + 6 - e?

Back

2e + 10

Front

Solve for x: 4x + 2x - 5 = 7x - 1

Back

x = -4

Front

What is the significance of the equation 7x - 3 = 7x + 5?

Back

This equation has no solution because the variable terms cancel out, leaving a false statement.

Front

What is the first step in solving the equation 4x + 2x - 5 = 7x - 1?

Back

Combine like terms on the left side to simplify the equation.

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the process of isolating a variable in an equation?

Back

Isolating a variable involves rearranging the equation to get the variable on one side and the constants on the other.