Question

Create and solve equations, showing your work. You must create the equations and show the steps required to solve them.

Your portfolio must include a minimum of the following types of equations:

One one-step equation
One equation that contains fractions
One equation with decimals
One real-world problem that is solved by an equation

Answer 1

One step equation, where only one step is required to solve the problem. Example:
20 = 5x
4 = x

Fractions:
1/2 + x = 3/2
x = 3/2 - 1/2
x = 1

Decimals:
0.5 + x = 1.5
x = 1.5 - 0.5
x = 1

Real world problem: (word problem and equation)
It costs $5 per hour to rent a canoe plus a $3 rental fee. How much will the total be if you plan on renting the canoe for 3 hours?
y = 5x + 3
y = total cost ; x = number of hours rented
y = 5×3 + 3
y = 15 + 3
y = $18

Answer 2

One-step equation is 4y=64, equation contains fractions is 3x=24/5, equation with decimals is 9x+0.3=17.7 and equation for real world problem is y=1x+2.

What is the equation of variable?

The variable is the unknown part of the equation. Variable changes with change in the quantities for any situation.

• One one-step equation

The one step-equation is written below.

$4y=64$

Divide both side with 4,

$y=16$

The equation is solved in one-step.

• One equation that contains fractions.

The following equation is the equation which contains the fraction,

$3x=\dfrac{24}{5}$

Divide both side with number 3,

$x=\dfrac{24}{5\times3}\\x=\dfrac{8}{5}$

• One equation with decimals-

The following equation is the equation which contains the decimals,

$9x+0.3=17.7$

Subtract both side with decimal number 0.3,

$9x+0.3=17.7\\9x=17.7-0.3\\9x=18$

Divide both side with number 9,

$x=2$

• One real-world problem that is solved by an equation

A taxi driver charge $1 for the a mile of a taxi ride and one time booking charge $2. The equation for this is given as,

$y=1x+2$

Here in the variable (y) represent the total charge of taxi and variable (x) represent the number of rides the taxi travelled.

Thus, the one-step equation is 4y=64, equation contains fractions is 3x=24/5, equation with decimals is 9x+0.3=17.7 and equation for real world problem is y=1x+2.

Learn more about the equation of variable here;

https://brainly.com/question/691540