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ISEE Middle Level Math : Algebraic Concepts

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 #321 : Algebraic Concepts

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

Possible Answers:

10r $\displaystyle 10r$

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

119r $\displaystyle 119r$

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

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 #322 : Algebraic Concepts

Solve for $\displaystyle x$:

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

Possible Answers:

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

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

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

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 #323 : Algebraic 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=18 $\displaystyle t=18$

t=8 $\displaystyle t=8$

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 #922 : Concepts

Solve for $\displaystyle n$:

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

Possible Answers:

n=18 $\displaystyle n=18$

n=2 $\displaystyle n=2$

n=6 $\displaystyle n=6$

n=12 $\displaystyle n=12$

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 #324 : Algebraic Concepts

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

Possible Answers:

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

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

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

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

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 #325 : Algebraic Concepts

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

Possible Answers:

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

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

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

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

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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Example Question #326 : Algebraic Concepts

$13^{2}=$ $\displaystyle 13^{2}=$

Possible Answers:

152 $\displaystyle 152$

196 $\displaystyle 196$

169 $\displaystyle 169$

132 $\displaystyle 132$

Correct answer:

169 $\displaystyle 169$

Explanation:

Multiply: $13\ast13=169$ $\displaystyle 13\ast13=169$

Answer: 169

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Example Question #327 : Algebraic Concepts

$34q*3q^{2}=$ $\displaystyle 34q*3q^{2}=$

Possible Answers:

$102q^{3}$ $\displaystyle 102q^{3}$

$31q^{3}$ $\displaystyle 31q^{3}$

$37q^{3}$ $\displaystyle 37q^{3}$

$102q^{2}$ $\displaystyle 102q^{2}$

Correct answer:

$102q^{3}$ $\displaystyle 102q^{3}$

Explanation:

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

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

Answer: $102q^{3}$ $\displaystyle 102q^{3}$

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Example Question #328 : Algebraic Concepts

4r*28r= $\displaystyle 4r*28r=$

Possible Answers:

$428r^{2}$ $\displaystyle 428r^{2}$

$32r^{2}$ $\displaystyle 32r^{2}$

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

$112r^{2}$ $\displaystyle 112r^{2}$

Correct answer:

$112r^{2}$ $\displaystyle 112r^{2}$

Explanation:

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

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

Answer: $112r^{2}$ $\displaystyle 112r^{2}$

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Example Question #329 : Algebraic Concepts

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

Possible Answers:

192g $\displaystyle 192g$

$192g^{3}$ $\displaystyle 192g^{3}$

$28g^{3}$ $\displaystyle 28g^{3}$

$192g^{2}$ $\displaystyle 192g^{2}$

Correct answer:

$192g^{3}$ $\displaystyle 192g^{3}$

Explanation:

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

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

Answer: $192g^{3}$ $\displaystyle 192g^{3}$

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ISEE Middle Level Math : Algebraic Concepts

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #321 : Algebraic Concepts

Example Question #322 : Algebraic Concepts

Example Question #323 : Algebraic Concepts

Example Question #922 : Concepts

Example Question #324 : Algebraic Concepts

Example Question #325 : Algebraic Concepts

Example Question #326 : Algebraic Concepts

Example Question #327 : Algebraic Concepts

Example Question #328 : Algebraic Concepts

Example Question #329 : Algebraic Concepts

All ISEE Middle Level Math Resources

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