3.4 Solving Word Problems with Algebraic Equations

Front

What is the equation for calculating the monthly cell phone bill if the charge is $15.00 per month plus $0.20 per minute of airtime usage?

Back

C = 0.20x + 15

Front

How do you represent the total cost of Kylie's car bill if Scott charges $35 for each car plus $7 per hour and the total bill is $63?

Back

7x + 35 = 63

Front

What equation represents the total cost for Penelope at the carnival if it costs $20 to enter and $0.50 for each ride ticket, spending a total of $35?

Back

.50x + 20 = 35

Front

How can you express the initial number of candy pieces Aliyah had if she took 10 for herself and divided the rest among her 4 children, each receiving 2 pieces?

Back

(x-10)/4=2

Front

What are the steps to solve the equation 5b - 6 = 24?

Back

Add 6 to both sides and divide both sides by 5.

Front

Define a variable in the context of a word problem.

Back

A variable is a symbol used to represent an unknown quantity in mathematical expressions or equations.

Front

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

Back

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

Front

Explain the concept of 'solving for x' in an equation.

Back

It means finding the value of the variable x that makes the equation true.

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

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.