ISEE Middle Level Math : Equations

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

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Example Questions

Example Question #121 : How To Find The Solution To An Equation

\(\displaystyle 13^{2}=\)

Possible Answers:

\(\displaystyle 169\)

\(\displaystyle 196\)

\(\displaystyle 152\)

\(\displaystyle 132\)

Correct answer:

\(\displaystyle 169\)

Explanation:

Multiply:\(\displaystyle 13\ast13=169\)

Answer: 169

Example Question #122 : How To Find The Solution To An Equation

\(\displaystyle 34q*3q^{2}=\)

Possible Answers:

\(\displaystyle 102q^{2}\)

\(\displaystyle 31q^{3}\)

\(\displaystyle 102q^{3}\)

\(\displaystyle 37q^{3}\)

Correct answer:

\(\displaystyle 102q^{3}\)

Explanation:

Multiply the whole numbers and add an exponent to the variable totalling the amount of variables in the equation:

\(\displaystyle 34q*3q^{2}=102q^{3}\)

Answer: \(\displaystyle 102q^{3}\)

Example Question #123 : How To Find The Solution To An Equation

\(\displaystyle 4r*28r=\)

Possible Answers:

\(\displaystyle 32r^{2}\)

\(\displaystyle 112r^{2}\)

\(\displaystyle 428r^{2}\)

\(\displaystyle 24r^{2}\)

Correct answer:

\(\displaystyle 112r^{2}\)

Explanation:

Multiply the whole numbers and add an exponent to the variable totaling the number of variables in the equation:

\(\displaystyle 4r*28r=112r^{2}\)

Answer: \(\displaystyle 112r^{2}\)

Example Question #124 : How To Find The Solution To An Equation

Multiply: \(\displaystyle 16g* 12g^{2}=\)

Possible Answers:

\(\displaystyle 192g^{2}\)

\(\displaystyle 192g^{3}\)

\(\displaystyle 192g\)

\(\displaystyle 28g^{3}\)

Correct answer:

\(\displaystyle 192g^{3}\)

Explanation:

Multiply the whole numbers and add an exponent to the variable totaling the number of variables in the equation:

\(\displaystyle 16g*12g^{2}=192^{3}\)

Answer: \(\displaystyle 192g^{3}\)

 

Example Question #125 : How To Find The Solution To An Equation

Multiply: \(\displaystyle 67a*9a=\)

Possible Answers:

\(\displaystyle 603a^{2}\)

\(\displaystyle 75a^{2}\)

\(\displaystyle 679a^{2}\)

\(\displaystyle 58a^{2}\)

Correct answer:

\(\displaystyle 603a^{2}\)

Explanation:

Multiply the whole numbers and add an exponent to the variable totaling the number of variables in the equation:

\(\displaystyle 67a*9a=603a^{2}\)

Answer: \(\displaystyle 603a^{2}\)

Example Question #930 : Concepts

Solve for \(\displaystyle x\).

\(\displaystyle 3x+4=-2\)

Possible Answers:

\(\displaystyle x=-2\)

\(\displaystyle x=-\frac{2}{3}\)

\(\displaystyle x=2\)

\(\displaystyle x=\frac{2}{3}\)

Correct answer:

\(\displaystyle x=-2\)

Explanation:

\(\displaystyle 3x+4=-2\)

\(\displaystyle 3x+4-4=-2-4\)

\(\displaystyle 3x=-6\)

\(\displaystyle \frac{3x}{3}=\frac{-6}{3}\)

\(\displaystyle x=-2\)

Example Question #126 : How To Find The Solution To An Equation

Solve for \(\displaystyle n\).

\(\displaystyle -n+2=3\)

Possible Answers:

\(\displaystyle n=-1\)

\(\displaystyle n=1\)

\(\displaystyle n=-5\)

\(\displaystyle n=5\)

Correct answer:

\(\displaystyle n=-1\)

Explanation:

\(\displaystyle -n+2=3\)

\(\displaystyle -n+2-2=3-2\)

\(\displaystyle -n=1\)

\(\displaystyle n=-1\)

Example Question #127 : How To Find The Solution To An Equation

Solve for \(\displaystyle t\):

\(\displaystyle \frac{t}{3}+2=-7\)

Possible Answers:

\(\displaystyle t=3\)

\(\displaystyle t=-3\)

\(\displaystyle t=27\)

\(\displaystyle t=-27\)

Correct answer:

\(\displaystyle t=-27\)

Explanation:

\(\displaystyle \frac{t}{3}+2=-7\)

\(\displaystyle \frac{t}{3}+2-2=-7-2\)

\(\displaystyle \frac{t}{3}=-9\)

\(\displaystyle 3(\frac{t}{3})=(-9)(3)\)

\(\displaystyle t=-27\)

 

Example Question #1521 : Hspt Mathematics

\(\displaystyle 15^{2}+15=\)

Possible Answers:

\(\displaystyle 45\)

\(\displaystyle 240\)

\(\displaystyle 32\)

\(\displaystyle 1515\)

Correct answer:

\(\displaystyle 240\)

Explanation:

First solve the exponents:

\(\displaystyle 15^{2}=225\)

Then solve the equation:

\(\displaystyle 225+15=240\)

Answer: \(\displaystyle 240\)

Example Question #1522 : Hspt Mathematics

\(\displaystyle 2^{2}+6^{2}=\)

Possible Answers:

\(\displaystyle 12\)

\(\displaystyle 2262\)

\(\displaystyle 36\)

\(\displaystyle 40\)

Correct answer:

\(\displaystyle 40\)

Explanation:

First, solve the exponents:

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

\(\displaystyle 6^{2}=36\)

Then solve the equation:

\(\displaystyle 4+36=40\)

Answer: \(\displaystyle 40\)

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