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9-12 Integrated Math 2 Unit 5

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K-5 Math 6-8 Math •9-12 Math

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Integrated Math 1 •Integrated Math 2 Integrated Math 3

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Unit 1 Unit 2 Unit 3 Unit 4 •Unit 5 Unit 6 Unit 7 Unit 8

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IM K-5 Math
IM 6-8 Math
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Unit 5

Glossary

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Integrated Math 2

completing the square

Completing the square is a method of rewriting a quadratic expression or equation.

A quadratic expression is rewritten in the form , where , , and are constants and
A quadratic equation is rewritten in the form .

used in:

factored form (of a quadratic expression)

A quadratic expression is in factored form when it is written as the product of a constant times two linear factors.

written in factored form is .
written in factored form is .

used in:

irrational number

An irrational number is a number that is not rational. This means it cannot be expressed as a positive fraction, a negative fraction, or zero. It cannot be written in the form , where and are integers and .

For example, the numbers and are irrational numbers.

From an earlier course.

linear term

A linear term of an expression has a variable raised to the first power.

In the expression, , the linear term is .
In the expression, , the linear term is .
In the expression , where , , and are constants, the linear term is .

used in:

perfect square

A perfect square is a number or an expression that is the result of multiplying a number or an expression to itself. In general, the multiplied number is rational and the multiplied expression has rational coefficients.

used in:

quadratic equation

A quadratic equation is an equation that is equivalent to one of the form , where , , and are constants and .

used in:

quadratic formula

The quadratic formula is and gives the solutions of the quadratic equation , where , , and are constants and .

used in:

rational number

A rational number is a number that can be written as a positive fraction, a negative fraction, or zero. It can be written in the form , where and are integers and .

0.7 is a rational number because it can be written as .
The numbers 0, 3, , and 6.7 are all rational numbers.

From an earlier course.

standard form (of a quadratic expression)

The standard form of a quadratic expression is , where , , and are constants and 0.

used in:

zero (of a function)

A zero of a function is an input that results in an output of 0. In other words, if , then is a zero of .

used in:

zero product property

The zero product property says that if the product of two numbers is 0, then one of the numbers must be 0.

used in: