Math 8 Solutions Task Cards

Front

What is the process of solving an equation?

Back

The process of solving an equation involves isolating the variable on one side of the equation to find its value. This often includes using inverse operations such as addition, subtraction, multiplication, and division.

Front

Define a variable in mathematics.

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in mathematical expressions or equations.

Front

What is the purpose of using parentheses in mathematical expressions?

Back

Parentheses are used to indicate which operations should be performed first in a mathematical expression, following the order of operations.

Front

Explain the concept of the order of operations.

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed in a mathematical expression, typically remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Front

What is a linear equation?

Back

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

Front

How do you find the slope of a line?

Back

The slope of a line is found by taking the difference in the y-coordinates divided by the difference in the x-coordinates of two points on the line, often expressed as (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept of a line is the point where the line crosses the y-axis, represented by the value of y when x = 0 in the equation of the line.

Front

Define a proportion in mathematics.

Back

A proportion is an equation that states that two ratios are equal, often used to solve problems involving equivalent fractions.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion.

Front

Explain the concept of area in geometry.

Back

Area is the measure of the space inside a two-dimensional shape, calculated using different formulas depending on the shape (e.g., length x width for rectangles).