Solve for y Equations
Concept
Solve equations to find the value of y.
Rules
1. Get the variable on a side by itself to determine its value.
2. To solve for a variable, use inverse operations to undo the operations in the equation. Be sure to do the same operation to both sides of the equation.
Example
Solve the equation for y.
y – 8 = -23
Solution
y – 8 = -23
Add 8 to both sides.
y – 8 + 8 = -23 + 8
y = -15
Practice Solve for y Equations
Practice Problem 1
Solve the equation.
7y = 77
Practice Problem 2
Solve the equation.
Practice Problem 3
Write an equation that models the scenario below, then find the solution. Let y stand for the unknown value.
Scott’s scooter can only travel at 30 mph. At this rate, how far can he travel in 2.5 hours?
Algebra – the branch of mathematics that involves expressions with variables.
Variable – a symbol that represents an unknown quantity.
Equation – In algebra an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
A linear equation is an equation that is written for two different variables.
Pre-requisite Skills
Evaluate Variable Expressions-addition and subtraction
Evaluate Expressions (Multiplication and Division)
Algebra Functions
Order of Operations
Solve Algebraic Equations – Addition and Subtraction
Solve Algebraic Equations – Multiplication and Division
Algebra: Variables and Expressions
Algebra Functions
Algebra: Solving Equations
Evaluate Algebraic Expressions