Solve $$x^2-5x=14$$ by factoring.

The solutions are $$-2$$ and $$7$$ .

The area of a rectangle is $$12x^3-18x^2+6x$$ . The width is equal to the GCF. What could be the dimensions of the rectangle?

The dimensions could be $$6x(2x^2-3x+1)$$ .

What are the solutions of $$x^2+2x-15=0$$ using the graph?

The solutions are $$-5$$ and $$3$$ .

Which expression is equivalent to $$(x^2+3x-5)-(4x^2+3x-6)$$ ?

The equivalent expression is $$-3x^2+1$$ .

What does it mean to solve a system of equations?

To find the values of the variables that satisfy all equations in the system simultaneously.

What is the quadratic formula?

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

What is the standard form of a quadratic equation?

The standard form is $$ax^2 + bx + c = 0$$ where a, b, and c are constants.

What is the vertex of a parabola?

The vertex is the highest or lowest point of the parabola, depending on its orientation.

What is the discriminant in a quadratic equation?

The discriminant is $$b^2 - 4ac$$ and determines the nature of the roots.

What does it mean for two expressions to be equivalent?

Two expressions are equivalent if they have the same value for all values of the variables.

What is the process of simplifying an expression?

Simplifying an expression involves reducing it to its simplest form by combining like terms and removing parentheses.

What is a polynomial?

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

IM2 MIDTERM REVIEW Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

The solutions are (1, -2) and (-1, -8).

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler factors.

7.

FLASHCARD QUESTION

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions.

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