# Applications of One-Step Equations

One-step equations serve as fundamental tools in various real-world scenarios, providing a concise and efficient way to model and solve mathematical problems. These equations find wide applications across diverse fields, from physics and engineering to finance and everyday problem-solving. Whether determining the cost of an item after a discount, calculating travel time, or analyzing simple physical processes, the versatility of one-step equations simplifies complex situations into manageable mathematical expressions. This foundational concept not only facilitates problem-solving but also enhances critical thinking skills, making it an essential topic in the practical application of mathematical principles.

- How do you solve #2x + 3 = 63#?
- Jerod started the night with $5 in his pocket and earns an average of $2 per pizza delivery in tips. Henry earns an average of $3 per pizza delivery in tips. How many deliveries must they both make in order to have the same amount of money?
- The sum of 3 less than 5 times a number and and the number increased by 9 is 24. What is the number?
- How do you solve #-6w-19=-4w-17#?
- Julianna is #x# years old. Her sister is 2 years older than her. Her mother is 3 times as old as her sister. Her Uncle Rich is 5 years older than her mother. How do you write and simplify an expression representing Rich's age?
- How do you write and solve an equation to find the integers if Mrs. Simms told her class to find two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer?
- How do you simplify #6(2-2y)=5(2y-2)#?
- How do you solve #2= \frac { c + 8} { 2}#?
- How much will it cost to purchase chicken wire for a fence if 53 feet are needed and the fencing costs $4.71 per yard?
- How many boxes of envelopes can you buy with $12 if one box costs $3?
- How do you solve #4x + 13.2= 2.6#?
- Mrs. Vance buys 710 grams of strawberries. She has 210 grams of strawberries left after making 5 glasses of strawberry smoothie. How many grams of strawberries does she use for a glass?
- How do you solve #-7m - 6= - 20#?
- How many miles did she hike if she hiked for 1.75 hrs at a speed of 3.5 mi/h ?
- How do you solve #4x + 7= 13#?
- What linear equation will determine the length, given the area of a rectangle is 48 sq ft and the width is 6ft?
- How do you solve #3x + 5 = 2 ( x + 7 )#?
- How do you solve #7+ 4y = 39#?
- The sum of two consecutive integers is 107. What are the integers?
- How do you solve #-\frac{15}{4} = - k - 2#?