Algebraic Concepts - ISEE Lower Level Quantitative Reasoning
Card 0 of 1199
The toy panda weighs 
pounds less than the toy truck. The toy truck weighs 
pounds. Select the number sentence that gives the weight of the toy panda.
The toy panda weighs
We are told that the toy panda weighs 
pounds less than the toy truck, which means we are going to subtract.
We are given that the toy truck weighs 
pounds, so we subtract 
from 
since the panda weighs 
pounds less than the toy truck.
is the correct number sentence.
We are told that the toy panda weighs
We are given that the toy truck weighs
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The swing set is 
inches tall and the tree is 
inches tall. How much taller is the tree than the swing set?
The swing set is
This is a subtraction problem because we want to know how much taller the tree is compared to the swing set, or the difference in their height.
This is a subtraction problem because we want to know how much taller the tree is compared to the swing set, or the difference in their height.
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When counting by 
s, what number comes after 
When counting by
When counting by 
s, we add 
to our previous number.
When counting by
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What is the equation that shows the sum of the squares represented by this rectangular array?
What is the equation that shows the sum of the squares represented by this rectangular array?
When we count the number of squares in this picture we get 
. We have 
rows with 
squares in each row. Our math equation for this picture could be written as 
When we count the number of squares in this picture we get
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The rectangular array shows 
.
What is another way to show 
The rectangular array shows
What is another way to show
According to the commutative property, numbers can be multiplied in any order. This means that 
and 
are equal.
According to the commutative property, numbers can be multiplied in any order. This means that
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What is the missing number?
___________, 
What is the missing number?
In this series we are counting by 
. When counting by 
, 
is between 
and 
.
In this series we are counting by
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What is the value of x in the equation?
What is the value of x in the equation?
First, add 
.
Next, divide 
.
So 
First, add
Next, divide
So
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Simplify.
Simplify.
When simplifying an expression, you must combine like terms. There are two types of terms in this expression: “x’s” and whole numbers. Combine in two steps:
-
x’s: 
-
whole numbers: 
The simplified expression is: 
.
When simplifying an expression, you must combine like terms. There are two types of terms in this expression: “x’s” and whole numbers. Combine in two steps:
-
x’s:
-
whole numbers:
The simplified expression is:
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Solve, when 
.
Solve, when
To solve, insert 
for each 
:
Simplify:
*Common error: When solving this part of the equation always remember the order of operations (PEMDAS) and square the number in the () BEFORE multiplying!
To solve, insert
Simplify:
*Common error: When solving this part of the equation always remember the order of operations (PEMDAS) and square the number in the () BEFORE multiplying!
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Solve for 
.
Solve for
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Use the equations to answer the question.
What is 
?
Use the equations to answer the question.
What is
First, you need to find what would make 
and 
true in their respective equations. 
equals 1 and 
equals 4. The next step is to add those together, which gives you 5.
First, you need to find what would make
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What story best fits the expression 
?
What story best fits the expression
Nell's story fits best because if she bought 9 bags with 3 pieces each, that would be 27 total. This fits best with the 
equation.
Nell's story fits best because if she bought 9 bags with 3 pieces each, that would be 27 total. This fits best with the
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Max and Sarah both drove at the same speed. It took Max 36 minutes to drive 3 miles. How many minutes did it take for Sarah to drive 6 miles?
Max and Sarah both drove at the same speed. It took Max 36 minutes to drive 3 miles. How many minutes did it take for Sarah to drive 6 miles?
Since it took Max 36 minutes to drive 3 miles, it must take double the amount of time to drive 6 miles since they're both driving at the same speed. Thus, 72 is the correct answer.
Since it took Max 36 minutes to drive 3 miles, it must take double the amount of time to drive 6 miles since they're both driving at the same speed. Thus, 72 is the correct answer.
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What is 
equal to in this equation:
What is
Find the number that makes the equation true. 2 works because when plugged in, the left side of the equation becomes 13, making the whole equation true.
Find the number that makes the equation true. 2 works because when plugged in, the left side of the equation becomes 13, making the whole equation true.
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Five more than a number is equal to 
of twenty-five . What is the number?
Five more than a number is equal to
From the question, we know that 
plus a number equals 
of 
. In order to find out what 
of 
is, multiply 
by 
.
, or 
.
The number we are looking for needs to be five less than 
, or 
.
You can also solve this algebraically by setting up this equation and solving:
Subtract 
from both sides of the equation.
From the question, we know that
The number we are looking for needs to be five less than
You can also solve this algebraically by setting up this equation and solving:
Subtract
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Solve for 
.
Solve for
To solve for , we want to isolate 
, or get it by itself.
Add 
to both sides of the equation.
Now we need to divide both sides by the coefficient of 
, i.e. the number directly in front of the 
.
To solve for
Add
Now we need to divide both sides by the coefficient of
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Solve for 
.
Solve for
First, subtract the three from both sides:
Then, divide by three on both sides:
First, subtract the three from both sides:
Then, divide by three on both sides:
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Alice has 30 flowers to put in 6 different vases. Which expression represents the number of flowers in each vase?
Alice has 30 flowers to put in 6 different vases. Which expression represents the number of flowers in each vase?
Since there are 30 total flowers and 6 vases, we divide 30 by 6. The result is 5 flowers per vase.
Since there are 30 total flowers and 6 vases, we divide 30 by 6. The result is 5 flowers per vase.
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A water bottle, basketball, and whistle all weigh a combined 5 kg. If the water bottle weighs 1 kg and the basketball weighs 3 kg, how much does the whistle weigh?
A water bottle, basketball, and whistle all weigh a combined 5 kg. If the water bottle weighs 1 kg and the basketball weighs 3 kg, how much does the whistle weigh?
Since the total weight is 5 kg and the other two items weigh a total of 4 kg, subtract 4 from 5. Therefore the whistle weighs 1 kg.
Since the total weight is 5 kg and the other two items weigh a total of 4 kg, subtract 4 from 5. Therefore the whistle weighs 1 kg.
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Michael bought 6 bags of candy at a cost of $4 per bag. Which equation represents the amount of money he spent?
Michael bought 6 bags of candy at a cost of $4 per bag. Which equation represents the amount of money he spent?
Since he bought 6 bags of candy at $4 each, we need to multiply 
The result is $24. Therefore, the equation is 
Since he bought 6 bags of candy at $4 each, we need to multiply
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