ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

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Example Questions

Example Question #469 : Algebra

Solve for \(\displaystyle k\):

\(\displaystyle 11k=154\)

Possible Answers:

\(\displaystyle 15\)

\(\displaystyle 11\)

\(\displaystyle 17\)

\(\displaystyle 14\)

\(\displaystyle 143\)

Correct answer:
\(\displaystyle 14\)
Explanation:

Divide each side by 11:

\(\displaystyle 11k\div 11=154\div 11\)

\(\displaystyle k=14\)

Answer: \(\displaystyle 14\)

Example Question #2601 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for \(\displaystyle k\):

\(\displaystyle 13k=260\)

Possible Answers:

\(\displaystyle 26\)

\(\displaystyle 36\)

\(\displaystyle 7\)

\(\displaystyle 20\)

Correct answer:

\(\displaystyle 20\)

Explanation:

Divide each side by 13:

\(\displaystyle 13k\div 13=260\div 13\)

\(\displaystyle k=20\)

Answer: \(\displaystyle 20\)

 

 

Example Question #2602 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for \(\displaystyle k\):

\(\displaystyle 24k=264\)

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle 12\)

\(\displaystyle 18\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle 11\)

Explanation:

Divide each side by 24:

\(\displaystyle 24k\div 24=264\div 24\)

\(\displaystyle k=11\)

Answer: \(\displaystyle 11\)

Example Question #2603 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\(\displaystyle 3^{2}*9=\)

Possible Answers:

\(\displaystyle 81\)

\(\displaystyle 15\)

\(\displaystyle 19\)

\(\displaystyle 18\)

Correct answer:

\(\displaystyle 81\)

Explanation:

First perform the squaring:

\(\displaystyle 3^{2}=9\)

Then multiply:

\(\displaystyle 9*9=81\)

Answer:\(\displaystyle 81\)

Example Question #2604 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\(\displaystyle 2^{2}*17=\)

Possible Answers:

\(\displaystyle 68\)

\(\displaystyle 98\)

\(\displaystyle 90\)

\(\displaystyle 67\)

Correct answer:

\(\displaystyle 68\)

Explanation:

First remove the exponents:

\(\displaystyle 2^{2}=4\)

Then take the product:

\(\displaystyle 4*17=68\)

Answer:\(\displaystyle 68\)

Example Question #2605 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\(\displaystyle 5^{2}*8=\)

Possible Answers:

\(\displaystyle 100\)

\(\displaystyle 500\)

\(\displaystyle 200\)

\(\displaystyle 800\)

Correct answer:

\(\displaystyle 200\)

Explanation:

First look at any terms with exponents:

\(\displaystyle 5^{2}=25\)

Then perform the multiplication:

\(\displaystyle 25*8=200\)

Answer: \(\displaystyle 200\)

Example Question #2606 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\(\displaystyle 10^{3}*3=\)

 

Possible Answers:

\(\displaystyle 300\)

\(\displaystyle 3000\)

\(\displaystyle 1300\)

\(\displaystyle 130\)

Correct answer:

\(\displaystyle 3000\)

Explanation:

When 10 has an exponent, simply add the appropriate number of zeroes:

\(\displaystyle 10^{3}=1000\)

Then multiply:

\(\displaystyle 1000*3=3000\)

Answer: \(\displaystyle 3000\)

 

Example Question #476 : Algebra

What is the value of y in the equation

 

\(\displaystyle 2y - (34+6) = y\) ?

Possible Answers:

\(\displaystyle -40\)

\(\displaystyle 44\)

\(\displaystyle 20\)

\(\displaystyle 40\)

Correct answer:

\(\displaystyle 40\)

Explanation:

The first step in solving this problem is to add together the numbers in parentheses:

\(\displaystyle 2y - (34+6) = y\)

\(\displaystyle 2y - (40) = y\)

Next, add 40 to both sides of the equation. 

\(\displaystyle 2y = y +40\)

Finally, subtract y from each side to get the answer. 

\(\displaystyle y = 40\)

Example Question #286 : How To Find The Solution To An Equation

What is the value of \(\displaystyle x\) in the equation below?

\(\displaystyle 14+8=12+17+3x\)

Possible Answers:

\(\displaystyle -\frac{7}{3}\)

\(\displaystyle -\frac{3}{7}\)

\(\displaystyle \frac{7}{3}\)

\(\displaystyle \frac{3}{7}\)

Correct answer:

\(\displaystyle -\frac{7}{3}\)

Explanation:

The first step is to combine the numbers in the equation that can be added together.

\(\displaystyle 14+8=12+17+3x\)

\(\displaystyle 22=29+3x\)

Next subtract \(\displaystyle 29\) from each side to isolate the \(\displaystyle 3x\)

\(\displaystyle -7=3x\)

Now divide each side by 3

\(\displaystyle -\frac{7}{3}=x\)

Example Question #2607 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve:

\(\displaystyle 11t=165\)

Possible Answers:

\(\displaystyle 1.5\)

\(\displaystyle 11\)

\(\displaystyle 14\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 15\)

Explanation:

To solve, divide each side by 11:

\(\displaystyle 11t\div 11=165 \div 11\)

\(\displaystyle t=15\)

Answer: \(\displaystyle 15\)

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