ISEE Middle Level Quantitative : Algebraic Concepts

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

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Example Questions

Example Question #41 : How To Multiply Variables

\(\displaystyle \frac{\begin{array}[b]{r}20\\ \times\ 9\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 190\)

\(\displaystyle 160\)

\(\displaystyle 170\)

\(\displaystyle 180\)

\(\displaystyle 150\)

Correct answer:

\(\displaystyle 180\)

Explanation:

To solve this problem, we multiply \(\displaystyle 9\) by the ones position and the tens position. 

\(\displaystyle 9\times0=0\)

\(\displaystyle 9\times2=18\)

\(\displaystyle \frac{\begin{array}[b]{r}20\\ \times\ 9\end{array}}{ \ \space180}\)

Example Question #42 : How To Multiply Variables

\(\displaystyle \frac{\begin{array}[b]{r}40\\ \times\ 1\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 40\)

\(\displaystyle 20\)

\(\displaystyle 30\)

\(\displaystyle 50\)

\(\displaystyle 60\)

Correct answer:

\(\displaystyle 40\)

Explanation:

To solve this problem, we multiply \(\displaystyle 1\) by the ones position and the tens position. 

\(\displaystyle 1\times0=0\)

\(\displaystyle 1\times4=4\)

\(\displaystyle \frac{\begin{array}[b]{r}40\\ \times\ 1\end{array}}{ \ \ \space40}\)

Example Question #43 : How To Multiply Variables

\(\displaystyle \frac{\begin{array}[b]{r}50\\ \times\ 2\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 80\)

\(\displaystyle 70\)

\(\displaystyle 100\)

\(\displaystyle 60\)

\(\displaystyle 90\)

Correct answer:

\(\displaystyle 100\)

Explanation:

To solve this problem, we multiply \(\displaystyle 2\) by the ones position and the tens position. 

\(\displaystyle 2\times0=0\)

\(\displaystyle 2\times5=10\)

\(\displaystyle \frac{\begin{array}[b]{r}50\\ \times\ 2\end{array}}{ \ \space100}\)

Example Question #44 : How To Multiply Variables

\(\displaystyle \frac{\begin{array}[b]{r}60\\ \times\ 3\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 170\)

\(\displaystyle 150\)

\(\displaystyle 190\)

\(\displaystyle 160\)

\(\displaystyle 180\)

Correct answer:

\(\displaystyle 180\)

Explanation:

To solve this problem, we multiply \(\displaystyle 3\) by the ones position and the tens position. 

\(\displaystyle 3\times0=0\)

\(\displaystyle 3\times6=18\)

\(\displaystyle \frac{\begin{array}[b]{r}60\\ \times\ 3\end{array}}{ \ \space180}\)

Example Question #45 : How To Multiply Variables

\(\displaystyle \frac{\begin{array}[b]{r}70\\ \times\ 4\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 310\)

\(\displaystyle 300\)

\(\displaystyle 280\)

\(\displaystyle 290\)

\(\displaystyle 370\)

Correct answer:

\(\displaystyle 280\)

Explanation:

To solve this problem, we multiply \(\displaystyle 4\) by the ones position and the tens position. 

\(\displaystyle 4\times0=0\)

\(\displaystyle 4\times7=28\)

\(\displaystyle \frac{\begin{array}[b]{r}70\\ \times\ 4\end{array}}{ \ \space280}\)

Example Question #46 : How To Multiply Variables

\(\displaystyle \frac{\begin{array}[b]{r}80\\ \times\ 5\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 410\)

\(\displaystyle 400\)

\(\displaystyle 430\)

\(\displaystyle 420\)

\(\displaystyle 440\)

Correct answer:

\(\displaystyle 400\)

Explanation:

To solve this problem, we multiply \(\displaystyle 5\) by the ones position and the tens position. 

\(\displaystyle 5\times0=0\)

\(\displaystyle 5\times8=40\)

\(\displaystyle \frac{\begin{array}[b]{r}80\\ \times\ 5\end{array}}{ \ \space400}\)

Example Question #47 : How To Multiply Variables

\(\displaystyle \frac{\begin{array}[b]{r}90\\ \times\ 6\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 500\)

\(\displaystyle 540\)

\(\displaystyle 530\)

\(\displaystyle 520\)

\(\displaystyle 510\)

Correct answer:

\(\displaystyle 540\)

Explanation:

To solve this problem, we multiply \(\displaystyle 6\) by the ones position and the tens position. 

\(\displaystyle 6\times0=0\)

\(\displaystyle 6\times9=54\)

\(\displaystyle \frac{\begin{array}[b]{r}90\\ \times\ 6\end{array}}{ \ \space540}\)

Example Question #71 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

\(\displaystyle \frac{\begin{array}[b]{r}20\\ \times\ 7\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 130\)

\(\displaystyle 140\)

\(\displaystyle 170\)

\(\displaystyle 160\)

\(\displaystyle 150\)

Correct answer:

\(\displaystyle 140\)

Explanation:

To solve this problem, we multiply \(\displaystyle 7\) by the ones position and the tens position. 

\(\displaystyle 7\times0=0\)

\(\displaystyle 7\times2=14\)

\(\displaystyle \frac{\begin{array}[b]{r}20\\ \times\ 7\end{array}}{ \ \space140}\)

Example Question #72 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

\(\displaystyle \frac{\begin{array}[b]{r}10\\ \times\ 8\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 50\)

\(\displaystyle 60\)

\(\displaystyle 80\)

\(\displaystyle 40\)

\(\displaystyle 70\)

Correct answer:

\(\displaystyle 80\)

Explanation:

To solve this problem, we multiply \(\displaystyle 8\) by the ones position and the tens position. 

\(\displaystyle 8\times0=0\)

\(\displaystyle 8\times1=8\)

\(\displaystyle \frac{\begin{array}[b]{r}10\\ \times\ 8\end{array}}{ \ \ \ \space80}\)

Example Question #441 : How To Multiply

\(\displaystyle \frac{\begin{array}[b]{r}30\\ \times\ 9\end{array}}{ \ \ \ \space}\)

 

Possible Answers:

\(\displaystyle 280\)

\(\displaystyle 250\)

\(\displaystyle 290\)

\(\displaystyle 270\)

\(\displaystyle 260\)

Correct answer:

\(\displaystyle 270\)

Explanation:

To solve this problem, we multiply \(\displaystyle 9\) by the ones position and the tens position. 

\(\displaystyle 9\times0=0\)

\(\displaystyle 9\times3=27\)

\(\displaystyle \frac{\begin{array}[b]{r}30\\ \times\ 9\end{array}}{ \ \space270}\)

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