Jaya's Academy Online Tutor Interview Questions, Process, and Tips

Similar figures have the same shape but not necessarily the same size, while congruent figures have both the same shape and size.

• Similar figures have proportional sides and angles, but may be different in size.

• Congruent figures have exactly the same shape and size.

• For example, two rectangles with different dimensions are similar, but two congruent squares have the same dimensions.

Three methods for solving linear equations include graphing, substitution, and elimination.

• Graphing involves plotting the equations on a graph and finding the point of intersection.

• Substitution involves solving one equation for a variable and substituting it into the other equation.

• Elimination involves adding or subtracting the equations to eliminate one variable.

Arithmetic sequence is a list of numbers where the difference between consecutive terms is constant.

• Arithmetic sequence has a common difference between consecutive terms.

• Formula for nth term of arithmetic sequence: a_n = a_1 + (n-1)d

• Example: 2, 5, 8, 11, ... is an arithmetic sequence with common difference of 3.

Polygons are closed shapes with straight sides. A circle is not a polygon because it has a curved side.

• Polygons are closed shapes made up of straight line segments

• Polygons have a specific number of sides and angles

• Examples of polygons include triangles, squares, pentagons, and hexagons

• A circle is not a polygon because it has a curved side

Two values are proportional if they have a constant ratio between them.

• Two values are proportional if they have a constant ratio between them.

• The condition for two values a and b to be proportional is a/b = k, where k is a constant.

• For example, if a = 2 and b = 4, then a/b = 2/4 = 1/2, which is a constant ratio.

Linear equations have variables raised to the power of 1, while quadratic equations have variables raised to the power of 2.

• Linear equations have a degree of 1, while quadratic equations have a degree of 2.

• Linear equations graph as straight lines, while quadratic equations graph as parabolas.

• Linear equations have one solution, while quadratic equations can have two solutions, one solution, or no real solutions.

• Examples...read more

Mass is the amount of matter in an object.

• Mass is a measure of the amount of matter in an object.

• It is typically measured in units such as kilograms or grams.

• Mass is different from weight, which is the force of gravity acting on an object's mass.

• For example, a brick has more mass than a feather.

The method of solving equations is called the elimination method.

• In the elimination method, you eliminate one variable by adding or subtracting the equations to get a new equation with only one variable.

• Then you solve for that variable and substitute the value back into one of the original equations to find the other variable.

• Example: 2x + 3y = 8 and 3x - 2y = 4. By adding the two equations, you can eliminate y and sol

A polygon is a closed shape with straight sides. A circle is not a polygon.

• A polygon is a 2-dimensional shape made up of straight line segments.

• It has a finite number of sides and angles.

• Examples of polygons include triangles, squares, rectangles, and pentagons.

• A circle is not a polygon because it has a curved boundary instead of straight sides.

Linear functions have a constant rate of change while quadratic functions have a variable rate of change.

• Linear functions have a degree of 1 while quadratic functions have a degree of 2.

• Linear functions graph as a straight line while quadratic functions graph as a parabola.

• Linear functions have one x-intercept and one y-intercept while quadratic functions have two x-intercepts and one y-intercept.

• Examples of linear fun...read more