Algebraic Concepts

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ISEE Lower Level Quantitative Reasoning › Algebraic Concepts

Questions 1 - 5

1

The swing set is inches tall and the tree is inches tall. How much taller is the tree than the swing set?

Explanation

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.

$\frac{\begin{array}[b]{r}57\ -\ 10\end{array}}{ \ \ \ \space 47}$

2

When counting by s, what number comes after

Explanation

When counting by s, we add to our previous number.

$\frac{\begin{array}[b]{r}45\ +\ 10\end{array}}{ \ \ \ \space 55}$

3

What is the equation that shows the sum of the squares represented by this rectangular array?

Screen shot 2015 07 20 at 2.11.33 pm

Explanation

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

4

The rectangular array shows $5\times 2$ .

Screen shot 2015 07 20 at 2.59.43 pm

What is another way to show $5\times 2?$

$2\times5$

$10\times5$

Explanation

According to the commutative property, numbers can be multiplied in any order. This means that $5\times 2$ and $2\times5$ are equal.

5

What is the missing number?

,

Explanation

In this series we are counting by . When counting by , is between and .

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