Q4 Benchmark Review #2

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating. Examples include π and √2.

Front

How do you determine if a point is a solution to a system of equations?

Back

To determine if a point (x, y) is a solution, substitute the x and y values into both equations. If both equations are true, then the point is a solution.

Front

What type of number is π?

Back

π is an irrational number.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if every value of the variable satisfies the equation, indicating that the two sides of the equation are always equal.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal expansions.

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution if the equations represent parallel lines that never intersect.