Math 1 EOC review

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac. It determines the number of solutions: if > 0, two solutions; if = 0, one solution; if < 0, no solutions.

Front

How do you find the intersection point of two linear equations?

Back

To find the intersection point, solve the equations simultaneously (using substitution or elimination) to find the values of x and y that satisfy both equations.

Front

What is the power of a product rule in exponents?

Back

The power of a product rule states that (ab)ⁿ = aⁿbⁿ, meaning you can distribute the exponent to both factors.

Front

What is the solution to the equation -8x² + 6x - 4 = 0?

Back

The discriminant is -92, indicating there are no real solutions.

Front

What is the equivalent expression for (3x²y³)²?

Back

The equivalent expression is 9x⁴y⁶, obtained by squaring both the coefficient and the variables.

Front

How do you determine the solutions from a graph?

Back

The solutions are the x-values where the graph intersects the x-axis (y=0).

Front

What is the formula for the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

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.