Example Question #1 : Algebraic Concepts
What is the pattern for the numbers in the X column to the numbers in the Y column?
is added to each X value to get the Y value.
To find the rule, you may have to do some trial and error. The most important thing to remember is, once you think you have the rule, make sure to test the rule with all of the X values.
Example Question #2 : Algebraic Concepts
Charlie swims laps in the pool every day during the week before school. On Monday and Tuesday he swims laps each day. On Wednesday and Thursday he triples the number of laps he swims. By Friday, he does less laps than he does on Monday. How many total laps does he swim during the week?
To solve this problem, we first have to find our unknowns. Our unknowns are the number of laps he swims on Wednesday and Thursday and the number of laps he swims on Friday. We can set up equations for these unknowns by letting represent the laps that he swims on Wednesday and Thursday and represent the number of laps he swims on Friday.
because when we triple something we multiply by .
because he is swimming less laps than he did on Monday, which means we subtract.
To find the total amount of laps that he swam, we need to add up the laps that he did each day.
Example Question #3 : Algebraic Concepts
It takes Hannah minutes to get dressed in the morning. It takes her older sister, Sara, times as long. How long does it take Sara to get dressed?
The phrase " times as long" tells you that we are going to multiply by .
Let's have represent how long it takes Sara to get dressed.
Think: minutes 4 times would be how many minutes?