Writing Equations from Word Problems

Front

What is the equation to find how much Andre's neighbor pays him each week to mow the lawn if he wants to save $40, gives a $2 donation each week, and takes 5 weeks?

Back

40 = 5(x - 2)

Front

How do you represent the situation where Elena cuts a 30-foot ribbon, removes 7 feet, and divides the rest into 9 equal lengths?

Back

7 + 9x = 30

Front

What equation represents the weight of 5 textbooks and an empty bag weighing 3 pounds, totaling 17 pounds?

Back

5x + 3 = 17

Front

If Mallory spent $12.57 on sodas and $10.95 for each pizza, how can we express the total cost of pizzas in an equation?

Back

10.95x + 12.57 = 89.22

Front

What equation can be used to find the increase in length of each rectangle if there are 3 identical rectangles totaling 17 feet, starting from a 5-foot length?

Back

3(x + 5) = 17

Front

Define a variable in the context of writing equations from word problems.

Back

A variable is a symbol (often x) that represents an unknown quantity in an equation.

Front

What is the purpose of writing an equation from a word problem?

Back

To translate a real-world situation into a mathematical expression that can be solved.

Front

Explain the term 'constant' in the context of equations.

Back

A constant is a fixed value that does not change, such as the total amount of money or weight.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

How can you check if your equation from a word problem is correct?

Back

By substituting the solution back into the equation to see if both sides are equal.