Algebraic Concepts - ISEE Middle Level: Quantitative Reasoning
Card 1 of 12
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?
It takes Hannah
Tap to reveal answer
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?
The phrase "
Let's have
Think:
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What is the pattern for the numbers in the X column to the numbers in the Y column?
What is the pattern for the numbers in the X column to the numbers in the Y column?
Tap to reveal answer
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.
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.
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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?
Charlie swims laps in the pool every day during the week before school. On Monday and Tuesday he swims
Tap to reveal answer
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.
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
To find the total amount of laps that he swam, we need to add up the laps that he did each day.
← Didn't Know|Knew It →
What is the pattern for the numbers in the X column to the numbers in the Y column?
What is the pattern for the numbers in the X column to the numbers in the Y column?
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
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?
Charlie swims laps in the pool every day during the week before school. On Monday and Tuesday he swims
Tap to reveal answer
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.
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
To find the total amount of laps that he swam, we need to add up the laps that he did each day.
← Didn't Know|Knew It →
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?
It takes Hannah
Tap to reveal answer
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?
The phrase "
Let's have
Think:
← Didn't Know|Knew It →
What is the pattern for the numbers in the X column to the numbers in the Y column?
What is the pattern for the numbers in the X column to the numbers in the Y column?
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
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?
Charlie swims laps in the pool every day during the week before school. On Monday and Tuesday he swims
Tap to reveal answer
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.
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
To find the total amount of laps that he swam, we need to add up the laps that he did each day.
← Didn't Know|Knew It →
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?
It takes Hannah
Tap to reveal answer
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?
The phrase "
Let's have
Think:
← Didn't Know|Knew It →
What is the pattern for the numbers in the X column to the numbers in the Y column?
What is the pattern for the numbers in the X column to the numbers in the Y column?
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
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?
Charlie swims laps in the pool every day during the week before school. On Monday and Tuesday he swims
Tap to reveal answer
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.
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
To find the total amount of laps that he swam, we need to add up the laps that he did each day.
← Didn't Know|Knew It →
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?
It takes Hannah
Tap to reveal answer
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?
The phrase "
Let's have
Think:
← Didn't Know|Knew It →