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college math
algebra and geometry
| Question | Answer |
|---|---|
| What is a variable? | A symbol (usually a letter) that represents an unknown number |
| Solve for π₯ 2x+5=11 | x=3 |
| What is a linear equation? | An equation that forms a straight line when graphed (e.g.,y=mx+b). |
| What is the slope-intercept form of a line? | y=mx+b where π m is the slope and π b is the y-intercept. |
| What is a function? | A relation where each input has exactly one output. |
| Solve for π₯ 3xβ4=2x+5 | x=9 |
| What are the roots of a quadratic equation? | The values of π₯ x where ππ₯2+ππ₯+π=0 |
| What is an inequality? | A mathematical statement that compares two expressions (e.g., π₯ > 3 x>3) |
| What does it mean for two lines to be parallel? | They have the same slope and never intersect. |
| What is the formula for the area of a rectangle? | Area = length Γ width |
| What is a right angle? | An angle that measures 90 degrees. |
| What is the Pythagorean theorem | In a right triangle, π2+π2=π2, where c is the hypotenuse |
| What is the sum of the interior angles of a triangle? | 180 degrees. |
| What are complementary angles? | Two angles that add up to 90 degrees. |
| What is the formula for the circumference of a circle? | Circumference = 2ππ 2Οr or ππΟd (where πr is the radius and π d is the diameter). |
| What is a polygon | A closed figure with three or more straight sides |
| What is the area of a triangle? | Area = 1/2ΓbaseΓheight |
| What are the properties of parallel lines cut by a transversal | Corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary. |
| what are supplementary angles | Supplementary angles are two angles whose measures add up to 180 degrees. For example, if one angle measures 110 degrees, the other must measure 70 degrees to be supplementary. Supplementary angles can be adjacent (next to each other) or non-adjacent (sep |
| What is a radius? | A line segment from the center of a circle to any point on the circle |
| solve for X 3x+7=22 | X= 5 |
| simplify the expression 5(2xβ3)+4x | 14x + 15 |
| Solve for X 2(xβ5)=3x+4 | X = -14 |
| Find the value of π¦ y=3x+2 when π₯=4 | Y = 14 |
| what is a coefficient | A coefficient is a numerical factor that multiplies a variable in an algebraic expression |
| Factor the quadratic expression: x2 (x squared) +5x+6 | (x+2)(x+3) |