Grade 8 Mathimatics Final Exam Part 2

When finding the value of a two-step linear equation, you use opposite operations to isolate the variable. In this case, the correct opposite operation to add is subtract. By subtracting a certain value from both sides of the equation, you can isolate the variable on one side and solve for its value.

A reflection is the mirrored image of an object rotated at a certain degree. When an object is reflected, it appears as if it has been flipped over a line or axis, resulting in a reversed image. This can occur horizontally, vertically, or at any other angle of rotation. Reflections are commonly seen in mirrors, where the image of an object is reflected back with a reversal of left and right.

A Linear Relation is a line pattern that goes in a straight line. In mathematics, a linear relation refers to a relationship between two variables that can be represented by a straight line on a graph. This means that as one variable increases or decreases, the other variable also changes in a consistent and proportional manner. Therefore, the given answer correctly describes the type of pattern that a linear relation represents.

An independent event is a probability experiment in which the outcome of one event does not affect the outcomes of other events. Similarly, an isolated event refers to a probability experiment that is separate and does not have any influence on the remaining outcomes. Therefore, both independent and isolated events have the characteristic of not affecting the rest of the outcomes in a probability experiment.

When finding the coordinates horizontally and vertically, you are using that formula to find the pattern and linear equation. This suggests that the formula being referred to is used to identify both the pattern and the linear equation that governs the relationship between the given coordinates.

A sample space is a term used in probability to refer to the set of all possible outcomes that can occur in a given experiment. It is essentially a complete list or description of all the potential results that could occur. In other words, the sample space is the collection of all possible events that can happen, and it serves as the foundation for calculating probabilities in probability theory.

The correct answer is "Yes and Yes" because a linear graph is characterized by a straight line, and this graph appears to have a straight line. Additionally, the graph shows a clear pattern, as the points are evenly spaced and follow a consistent trend.

To find the value of the linear equation 4x + 6, we substitute x = 2 into the equation.
So, 4(2) + 6 = 8 + 6 = 14.
Therefore, the correct answer is 14.

The probability of getting a yellow from the spinner is 1/4, and the probability of getting a 2 from the coin is 1/2. To find the probability of both events happening, we multiply the probabilities together. Therefore, the probability of getting a yellow and a 2 is 1/4 multiplied by 1/2, which equals 1/8.

The given equation is r/10 - 3 = 7. To find the value of r, we need to isolate r on one side of the equation. To do this, we can first add 3 to both sides of the equation, which gives us r/10 = 10. Next, we can multiply both sides of the equation by 10 to eliminate the fraction, resulting in r = 100. Therefore, the value of r is 100.

The polygons in a tessellation must be at a 360-degree angle because a tessellation is a pattern made up of repeated shapes that completely cover a plane without any gaps or overlaps. In order for the shapes to fit together perfectly, their angles must add up to a full circle, which is 360 degrees.

The correct answer is 2x=5 because in the given equation, the coefficient of x is 2 on both sides of the equation. To solve for x, we need to isolate the variable on one side of the equation. By subtracting 2x from both sides, we get 0=5-2x, which can be simplified to 0=5-2x. This equation shows that 2x=5.

Jesse has a total of 5 coins in her pockets. Out of these 5 coins, only 1 coin (the toonie) has a value of $1.05. Therefore, the probability of her taking out $1.05 is 1 out of 6, as there is only 1 favorable outcome out of the total 6 possible outcomes (which is taking out any of the 5 coins).

The missing Y value from the table can be determined by substituting the given X values into the equation Y=2x+1. When X = -2, Y = -5. Therefore, the missing Y value is -5.

The main shapes used to tile the tessellation plane are triangles and pentagons. Tessellation is the process of creating a pattern by repeating a shape without any gaps or overlaps. Triangles and pentagons are both regular polygons that can fit together perfectly to cover a plane without leaving any empty spaces. This combination of shapes allows for a variety of intricate and visually appealing tessellation patterns to be created.

A tesselation is a pattern of shapes that completely covers a plane without any gaps or overlaps. In order to achieve this, the shapes must fit together perfectly. A square, hexagon, and octagon can all fit together to create a tesselation because their angles and sides can be arranged to form a seamless pattern. However, a pentagon cannot form a tesselation on its own because its angles and sides cannot fit together without leaving gaps. Therefore, the correct answer is pentagon.