ACT Math Flashcard 4

Front

What equation represents the relationship between a number n and its square root when four times the number is 5 less than the square root?

Back

4n = √n - 5

Front

What is the solution to the equation |-2x + 4| = 12?

Back

x could equal -4 or 8.

Front

How do you simplify the expression (a+b-2c) — 2(a − 2b + 3c)?

Back

The simplified expression is -a + 5b - 8c.

Front

What is the solution to the equation -2x - 7 = 10?

Back

x = -8.5.

Front

What is the definition of an absolute value equation?

Back

An absolute value equation is an equation that contains an absolute value expression, which represents the distance of a number from zero on the number line.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the principle of solving quadratic equations?

Back

The principle involves setting the equation to zero and factoring, using the quadratic formula, or completing the square.

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and reduce it to its simplest form.

Front

What is the process for solving linear equations?

Back

The process involves isolating the variable by performing operations that maintain the equality of the equation.

Front

What is the significance of the square root in equations?

Back

The square root represents a value that, when multiplied by itself, gives the original number, and it can lead to two possible solutions in equations.