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ISEE Middle Level Quantitative : Algebraic Concepts

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #972 : Common Core Math: Grade 3

$\frac{\begin{array}[b]{r}60\\ \times\ 7\end{array}}{ \ \ \ \space}$

Possible Answers:

450

420

430

410

440

Correct answer:

420

Explanation:

To solve this problem, we multiply by the ones position and the tens position.

$7\times0=0$

$7\times6=42$

$\frac{\begin{array}[b]{r}60\\ \times\ 7\end{array}}{ \ \space420}$

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Example Question #173 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

$\frac{\begin{array}[b]{r}70\\ \times\ 8\end{array}}{ \ \ \ \space}$

Possible Answers:

570

530

540

560

550

Correct answer:

560

Explanation:

To solve this problem, we multiply by the ones position and the tens position.

$8\times0=0$

$8\times7=56$

$\frac{\begin{array}[b]{r}70\\ \times\ 8\end{array}}{ \ \space560}$

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Example Question #174 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

$\frac{\begin{array}[b]{r}70\\ \times\ 9\end{array}}{ \ \ \ \space}$

Possible Answers:

670

660

640

630

650

Correct answer:

630

Explanation:

To solve this problem, we multiply by the ones position and the tens position.

$9\times0=0$

$9\times7=63$

$\frac{\begin{array}[b]{r}70\\ \times\ 9\end{array}}{ \ \space630}$

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Example Question #172 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

$\frac{\begin{array}[b]{r}80\\ \times\ 9\end{array}}{ \ \ \ \space}$

Possible Answers:

740

710

730

700

720

Correct answer:

720

Explanation:

To solve this problem, we multiply by the ones position and the tens position.

$9\times0=0$

$9\times8=72$

$\frac{\begin{array}[b]{r}80\\ \times\ 9\end{array}}{ \ \space720}$

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Example Question #175 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

$\frac{\begin{array}[b]{r}10\\ \times\ 1\end{array}}{ \ \ \ \space}$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we multiply by the ones position and the tens position.

$1\times0=0$

$1\times1=1$

$\frac{\begin{array}[b]{r}10\\ \times\ 1\end{array}}{ \ \ \space10}$

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Example Question #171 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

$\frac{\begin{array}[b]{r}40\\ \times\ 2\end{array}}{ \ \ \ \space}$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we multiply by the ones position and the tens position.

$2\times0=0$

$2\times4=8$

$\frac{\begin{array}[b]{r}40\\ \times\ 2\end{array}}{ \ \ \space80}$

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Example Question #121 : Operations

$\frac{\begin{array}[b]{r}30\\ \times\ 3\end{array}}{ \ \ \ \space}$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we multiply by the ones position and the tens position.

$3\times0=0$

$3\times3=9$

$\frac{\begin{array}[b]{r}30\\ \times\ 3\end{array}}{ \ \ \space90}$

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Example Question #1 : How To Find The Solution To An Equation

Solve for :

12t = 7t + 45

Possible Answers:

t=11

t=10

t=8

t=12

t=9

Correct answer:

t=9

Explanation:

12t = 7t + 45

12t-7t = 7t -7t + 45

(12-7)t = 45

5t = 45

$5t \div 5 = 45\div 5$

t=9

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Example Question #2 : How To Find The Solution To An Equation

Solve the following equation if $\small \small x=3$ :

$\small 4x^{2}+3x-14$

Possible Answers:

$\small 33$

$\small 29$

$\small 32$

$\small 30$

$\small 31$

Correct answer:

$\small 31$

Explanation:

In order to solve this problem, we must substitute in for $\small x$ .

$\small 4(3)^{2}+3(3)-14$

Based on the order of operations we know that we must first deal with the exponents, so we look at $\small 3^{2}$ , which is $\small 9$ .

$\small 4(9)+3(3)-14$

Next we multiply.

$\small 4(9)=36$

$\small 3(3)=9$

$\small 36+9-14$

Finally we add subtract.

$\small 36+9=45$

$\small 45-14=31$

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Example Question #3 : How To Find The Solution To An Equation

Choose the best answer from the four choices given.

If $3z^{3}-2y=17$ ,

then what must $12z^{3}-8y$ equal?

Possible Answers:

Correct answer:

Explanation:

Notice that $12z^{3}-8y$ is greater than $3z^{3}-2y$ by a factor of 4.

$4(3z^{3})=12z^{3}$ and 4(-2y)=-8y

Thus, $12z^{3}-8y$ must equal 4 times the other side of the given equation, as well (17).

4(17)=68

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Middle Level Quantitative : Algebraic Concepts

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #972 : Common Core Math: Grade 3

Example Question #173 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

Example Question #174 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

Example Question #172 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

Example Question #175 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

Example Question #171 : Understanding Place Value And Properties Of Operations For Multi Digit Arithmetic

Example Question #121 : Operations

Example Question #1 : How To Find The Solution To An Equation

Example Question #2 : How To Find The Solution To An Equation

Example Question #3 : How To Find The Solution To An Equation

All ISEE Middle Level Quantitative Resources

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