Standardized Test Practice
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Multiply Amanda's hourly wage by the total number of hours she worked this week.
Use the Distributive Property.
How many hours would Michael have to work to earn the difference between his and Amanda's weekly earnings?
$ 6(0+6+4+0+2+6+8)
$ 156
Example Equation: x = 192-156/6
Solution: x = 6
We want to write an expression for Amanda's total weekly earnings. Let's take a look at the given table.
| Amanda's Work Hours | |
|---|---|
| Sunday | 0 |
| Monday | 6 |
| Tuesday | 4 |
| Wednesday | 0 |
| Thursday | 2 |
| Friday | 6 |
| Saturday | 8 |
Amanda's total weekly earnings can be written as her hourly wage times the total number of hours she worked throughout the week.
We will evaluate the expression from Part A using the Distributive Property. We will drop the dollar sign while calculating for simplicity. Let's do it!
Distribute 6
Multiply
Add terms
The expression from Part A is equal to 156. This means that Amanda's total weekly earnings were $ 156.
Michael also earns $6 per hour and has earned $192 this week. We want to write and solve an equation to find how many more hours Michael worked than Amanda. We know from Part B that Amanda earned $156 this week. This lets us write the difference between Michael's and Amanda's earnings.
How Much More Michael Earned Than Amanda: $192 - $156
Let's call the difference between the number of hours Michael worked this week and the number of hours Amanda worked this week x.
Michael worked 6 hours more than Amanda.