Example 8.12 from Prealgebra, 8.1 Solve Equations Using the Subtraction and Addition Properties of Equality

Solve Equations Using the Subtraction and Addition Properties of Equality: example 8.12

Shayla paid $$24,575$ for her new car. This was $$875$ less than the sticker price. What was the sticker price of the car?

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Translate into an algebraic equation and solve: Eddie paid $$19,875$ for his new car. This was $$1,025$ less than the sticker price. What was the sticker price of the car?

How did it go?

What are you asked to find?	"What was the sticker price of the car?"
Assign a variable.	Let $s =$ the sticker price of the car.
Write a sentence that gives the information to find it.	$24,575 is $875 less than the sticker price $24,575 is $875 less than $s$
Translate into an equation.
Solve.
Check:
Is $875 less than $25,450 equal to $24,575?
$25,450 - 875 \overset{?}{=} 24,575$
$24,575 = 24,575 ✓$
Write a sentence that answers the question.	The sticker price was $25,450.

What are you asked to find?	"What was the sticker price of the car?"
Assign a variable.	Let $s =$ the sticker price of the car.
Write a sentence that gives the information to find it.	$24,575 is $875 less than the sticker price $24,575 is $875 less than $s$
Translate into an equation.
Solve.
Check:
Is $875 less than $25,450 equal to $24,575?
$25,450 - 875 \overset{?}{=} 24,575$
$24,575 = 24,575 ✓$
Write a sentence that answers the question.	The sticker price was $25,450.

Solve Equations Using the Subtraction and Addition Properties of Equality: example 8.12

Solution

Your turn

Solve Equations Using the Subtraction and Addition Properties of Equality: example 8.12

Solution

Your turn