Algebra: Concepts and Connections EOC Review 1

Front

What inequality represents the total value of d dimes and q quarters being less than $14.75?

Back

0.1d + 0.25q < 14.75

Front

How do you describe the relationship between the lines represented by the equations y=6/7x+18 and y=7/6x+18?

Back

The two lines intersect but are not perpendicular.

Front

What is the simplified form of √75 + √12?

Back

7√3

Front

What is the sum of a rational number and an irrational number?

Back

Irrational.

Front

How do you convert the quadratic function f(x)=x^2+8x+3 into vertex form?

Back

(x+4)^2 - 13

Front

What is the definition of a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers.

Front

What is the definition of an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it cannot be written as a ratio of two integers.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is f(x) = a(x-h)^2 + k, where (h,k) is the vertex of the parabola.

Front

What is the significance of the intersection point of two lines in a graph?

Back

The intersection point represents the solution to the system of equations represented by the two lines.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.