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ISEE Middle Level Math : How to find the solution to an equation

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #111 : How To Find The Solution To An Equation

$2^{2}*3^{2}=$ $\displaystyle 2^{2}*3^{2}=$

Possible Answers:

$\displaystyle 36$

$\displaystyle 80$

$\displaystyle 5$

$\displaystyle 13$

Correct answer:

$\displaystyle 36$

Explanation:

First, solve the exponents:

$2^{2}=4$ $\displaystyle 2^{2}=4$

$3^{2}=9$ $\displaystyle 3^{2}=9$

Then, solve the equation:

4*9=36 $\displaystyle 4*9=36$

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Example Question #112 : How To Find The Solution To An Equation

$5^{2}*4^2=$ $\displaystyle 5^{2}*4^2=$

Possible Answers:

400 $\displaystyle 400$

$\displaystyle 41$

$\displaystyle 80$

$\displaystyle 13$

Correct answer:

400 $\displaystyle 400$

Explanation:

First, solve the exponents:

$5^{2}=25$ $\displaystyle 5^{2}=25$

$4^{2}=16$ $\displaystyle 4^{2}=16$

Then, solve the equation:

$\displaystyle 25*16=400$

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Example Question #113 : How To Find The Solution To An Equation

6r*11r= $\displaystyle 6r*11r=$

Possible Answers:

$17r^{2}$ $\displaystyle 17r^{2}$

$611r^{2}$ $\displaystyle 611r^{2}$

$66r^{2}$ $\displaystyle 66r^{2}$

$5r^{3}$ $\displaystyle 5r^{3}$

Correct answer:

$66r^{2}$ $\displaystyle 66r^{2}$

Explanation:

First, multiply the whole numbers.

Then, keep the variable the same and add an exponent totalling the number of variables in the equation:

$6r*11r=66r^{2}$ $\displaystyle 6r*11r=66r^{2}$

Answer: $66r^{2}$ $\displaystyle 66r^{2}$

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Example Question #114 : How To Find The Solution To An Equation

$\displaystyle 21s*15s=$

Possible Answers:

$\displaystyle 6s$

$315s^{2}$ $\displaystyle 315s^{2}$

$300s^{2}$ $\displaystyle 300s^{2}$

315s $\displaystyle 315s$

Correct answer:

$315s^{2}$ $\displaystyle 315s^{2}$

Explanation:

First, multiply the whole numbers.

Then, keep the variable the same and add an exponent totalling the number of variables in the equation:

$21s*15s=315s^{2}$ $\displaystyle 21s*15s=315s^{2}$

Answer: $315s^{2}$ $\displaystyle 315s^{2}$

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Example Question #115 : How To Find The Solution To An Equation

17r*7r= $\displaystyle 17r*7r=$

Possible Answers:

$24r^{2}$ $\displaystyle 24r^{2}$

10r $\displaystyle 10r$

119r $\displaystyle 119r$

$119r^{2}$ $\displaystyle 119r^{2}$

Correct answer:

$119r^{2}$ $\displaystyle 119r^{2}$

Explanation:

Multiply the whole numbers, and raise the variable's exponent by one:

$17r*7r=119r^{2}$ $\displaystyle 17r*7r=119r^{2}$

Answer: $119r^{2}$ $\displaystyle 119r^{2}$

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Example Question #918 : Concepts

Solve for $\displaystyle x$ :

2x+4=-2 $\displaystyle 2x+4=-2$

Possible Answers:

x=-2 $\displaystyle x=-2$

x=-3 $\displaystyle x=-3$

x=-1 $\displaystyle x=-1$

x=0 $\displaystyle x=0$

Correct answer:

x=-3 $\displaystyle x=-3$

Explanation:

2x+4=-2 $\displaystyle 2x+4=-2$

$\displaystyle 2x+4-4=-2-4$

2x=-6 $\displaystyle 2x=-6$

$\frac{2x}{2}=\frac{-6}{2}$ $\displaystyle \frac{2x}{2}=\frac{-6}{2}$

x=-3 $\displaystyle x=-3$

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Example Question #919 : Concepts

Solve for $\displaystyle t$ :

$-\frac{t}{4}+7=\frac{5}{2}$ $\displaystyle -\frac{t}{4}+7=\frac{5}{2}$

Possible Answers:

t=-38 $\displaystyle t=-38$

t=8 $\displaystyle t=8$

t=18 $\displaystyle t=18$

t=38 $\displaystyle t=38$

Correct answer:

t=18 $\displaystyle t=18$

Explanation:

$-\frac{t}{4}+7=\frac{5}{2}$ $\displaystyle -\frac{t}{4}+7=\frac{5}{2}$

$4(-\frac{t}{4}+7)=4(\frac{5}{2})$ $\displaystyle 4(-\frac{t}{4}+7)=4(\frac{5}{2})$

$\displaystyle -t+28=10$

$\displaystyle -t+28-28=10-28$

-t=-18 $\displaystyle -t=-18$

$\displaystyle -1(-t)=-1(-18)$

t=18 $\displaystyle t=18$

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Example Question #117 : How To Find The Solution To An Equation

Solve for $\displaystyle n$ :

$\frac{n}{3}-4=2$ $\displaystyle \frac{n}{3}-4=2$

Possible Answers:

n=2 $\displaystyle n=2$

n=12 $\displaystyle n=12$

n=6 $\displaystyle n=6$

n=18 $\displaystyle n=18$

Correct answer:

n=18 $\displaystyle n=18$

Explanation:

$\frac{n}{3}-4=2$ $\displaystyle \frac{n}{3}-4=2$

$\frac{n}{3}-4+4=2+4$ $\displaystyle \frac{n}{3}-4+4=2+4$

$\frac{n}{3}=6$ $\displaystyle \frac{n}{3}=6$

$(3)(\frac{n}{3})=(6)(3)$ $\displaystyle (3)(\frac{n}{3})=(6)(3)$

n=18 $\displaystyle n=18$

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Example Question #116 : How To Find The Solution To An Equation

Multiply: $17n\ast 3n=$ $\displaystyle 17n\ast 3n=$

Possible Answers:

$20n^{2}$ $\displaystyle 20n^{2}$

$34n^{2}$ $\displaystyle 34n^{2}$

$51n^{2}$ $\displaystyle 51n^{2}$

$14n^{2}$ $\displaystyle 14n^{2}$

Correct answer:

$51n^{2}$ $\displaystyle 51n^{2}$

Explanation:

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

$17n*3n=51n^{2}$ $\displaystyle 17n*3n=51n^{2}$

Answer: $51n^{2}$ $\displaystyle 51n^{2}$

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Example Question #117 : How To Find The Solution To An Equation

Multiply: $\displaystyle 26s*10s=$

Possible Answers:

$260s^{2}$ $\displaystyle 260s^{2}$

$16s^{2}$ $\displaystyle 16s^{2}$

$2610s^{2}$ $\displaystyle 2610s^{2}$

$26s^{2}$ $\displaystyle 26s^{2}$

Correct answer:

$260s^{2}$ $\displaystyle 260s^{2}$

Explanation:

Multiply the whole numbers, adding an exponent to the variable totalling the amount of variables in the equation:

$26s*10s=260s^{2}$ $\displaystyle 26s*10s=260s^{2}$

Answer: $260s^{2}$ $\displaystyle 260s^{2}$

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : How to find the solution to an equation

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #111 : How To Find The Solution To An Equation

Example Question #112 : How To Find The Solution To An Equation

Example Question #113 : How To Find The Solution To An Equation

Example Question #114 : How To Find The Solution To An Equation

Example Question #115 : How To Find The Solution To An Equation

Example Question #918 : Concepts

Example Question #919 : Concepts

Example Question #117 : How To Find The Solution To An Equation

Example Question #116 : How To Find The Solution To An Equation

Example Question #117 : How To Find The Solution To An Equation

All ISEE Middle Level Math Resources

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