Author: Saim Khalid

Introduction We graph a line whose equation is given, say for example y = 3x. We need at least two points or ordered pairs to graph the line. First we choose some x values. Then we evaluate y = 3x for each value of x. For example for x = 0, y = 30 = 0;…

Introduction In this lesson, we find the function rule given a table of ordered pairs. We first identify the input and the output variables and their values. We find if the function is increasing or decreasing. If the function is increasing, it means there is either an addition or multiplication operation between the two variables.…

Introduction In this lesson, we fill in a table with x and y values given a function rule with two-step rules. Usually the function rule is a linear equation in x and y. By giving different values to the independent variable x, corresponding values of dependent variable y are found. These x and y values…

Introduction A function is a rule that takes in and works on an input and gives an output. It is usually represented as fx = y, where x is the input variable and y is the output variable. By giving different whole number values to x, values of y can be found from the function rule.…

Definition Unit rate is defined as a ratio in which denominator is 1. In general, a unit rate is the number of dependent variables per one independent variable. For example − A monkey eats 8 bananas in 2 minutes The unit rate here is the number of bananas the monkey eats in a minute. Unit rate =…

This tutorial provides comprehensive coverage of Tables, Graphs, Functions and Sequences based on Common Core CCSS and State Standards and its prerequisites. Students can navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs. This simple tutorial uses appropriate examples to help you understand Tables, Graphs,…

Using Prime Factors to Find the Least Common Multiple of Two Numbers Example Find least common multiple lcm of 21 and 48 Solution Step 1: The prime factors of 21 and 48 are 21 = 3 7 48 = 2 2 2 2 3 Step 2: Maximum occurrences of the prime factors are 24times; 31time; 71time Step…

Introduction Finding the least common multiple lcm of three numbers is similar to finding the lcm of 2 numbers. To find the least common multiple lcm of three numbers Problem 1: Find the least common multiple of 6, 10, 15 Solution Step 1: The multiples of 6, 10 and 15 are as follows Multiples of 6 = 6, 12, 18, 24, 30,…

Definitions The multiple of a number is that number multiplied by an integer. The multiples of a number are found by multiplying it with 1, 2, 3, 4….and so on. For example, the multiples of 4 are 4 × 1, 4 × 2, 4 × 3, 4 × 4,…or 4, 8, 12, 16 …and so on. The multiples…

Introduction We can have sums or differences of whole numbers; for example 26+65 or 48−16. For factoring such sums or differences of whole numbers: Example: Factor out the gcf from the sum 28+63 Solution The prime factorization of 28 is 28 = 4 × 7 The prime factorization of 63 is 63 = 9 × 7 So the greatest…