Creating Algebraic Equations Worksheet Name:___________________
Creating Algebraic
Equations: Setting two
algebraic expressions
equal to each other.
Algebraic expressions can be combined to create algebraic equations,
which represent business formulas. In the next examples you will combine
algebraic expressions to create salary equations.
EX: Sonya works at the local shoe
store; she makes $8.00 per hour. Write
an equation to represent Sonya’s salary.
a) Identify a variable for the number of
hours worked
b) Identify a variable for her salary
c) Create an equation
SOLUTION:
a) Let h = number of hours worked
b) Let s = salary
c) S = $8.00h
1. A high school graduate can make $20,000 per year. Any additional year of
training or schooling can increase the salary by $3,000 per year.
a. Create an equation to represent this situation.
b. If someone makes $32,000 per year, use your equation to find out
how many extra years of schooling he or she had.
c. If someone had 7 years of additional training, use your equation to
find out his or her salary.
2. A regular work week is 40 hours. Overtime pay is time and ½ times your
hourly wage. Martha makes $12 per hour, at the Ketchup Factory.
a. Create an equation to represent this situation.
b. If Martha makes $660 per year, how many hours of overtime did
she work?
c. If Martha worked 50 hours one week, how much money would she
make?
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3. An employee can make a 11% commission on all sales during a given week.
Use the table you created in part I to help create an expression.
a. Create an equation to represent this situation.
b. If someone sells $3500 worth of merchandise, what would be his or
her income?
c. If someone makes $442 in one week, what was the value of the
merchandise sold?
4. Joseph makes a salary of $450 per week plus 2% commission on all weekly
sales. Use your table you created in part I to help create an expression.
a. Create an equation to represent this situation.
b. If Joseph makes $470 per week, what were his weekly sales?
c. If Joseph sold $7500 worth of merchandise, what would his salary
be?
5. Sarah can make $13 per hour plus 2% commission on all weekly sales. The
employee works part time at 25 hours per week. Use your table from part I to
help create an expression.
a. Create an equation to represent this situation.
b. If Sarah makes $341 per week what was her weekly sales?
c. What would Sarah’s salary be if she sold $2000 worth of
merchandise?
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