What is the difference between a monomial and a polynomial?

A monomial is a single term, while a polynomial is a sum of multiple terms.

What are the properties of exponents?

1. $$a^m \cdot a^n = a^{m+n}$$ ; 2. $$\frac{a^m}{a^n} = a^{m-n}$$ ; 3. $$(a^m)^n = a^{mn}$$ .

What is the y-intercept of a linear function?

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

How do you find the x-intercept of a linear equation?

Set y = 0 in the equation and solve for x.

What does it mean to factor an expression?

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

What is the significance of the discriminant in a quadratic equation?

The discriminant, $$b^2 - 4ac$$ , determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

Resource Library

Math

Algebra 2

Algebra 2 Pre Flashcard

Algebra 2 Pre-Flashcard

Flashcard

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA-REI.B.4B, 8.EE.C.7B, HSF-IF.C.7A

Standards-aligned

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15 questions

Show all answers

FLASHCARD QUESTION

Front

Solve the linear equation: $2x + 3 = \frac{6x - 1}{5}$

Back

x = -4

Tags

CCSS.8.EE.C.7B

FLASHCARD QUESTION

Front

Solve the linear equation: $3x - 7 = 2x + 5$

Back

x = 12

FLASHCARD QUESTION

Front

Graph the linear function $y = 2x + 3$ . What is the y-intercept?

Back

The y-intercept is 3.

Tags

CCSS.HSF-IF.C.7A

FLASHCARD QUESTION

Front

Factor the quadratic expression: $x^2 + 9x + 20$

Back

(x + 4)(x + 5)

FLASHCARD QUESTION

Front

Simplify the expression using exponent rules: $(x^3)(x^4)$

Back

x^7

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form $y = mx + b$ .

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, calculated as $m = \frac{\Delta y}{\Delta x}$ .

Tags

CCSS.8.EE.B.5

FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

Back

The standard form is $Ax + By = C$ , where A, B, and C are integers.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ for solving quadratic equations.

Tags

CCSS.HSA-REI.B.4B

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