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ISEE Middle Level Math : Variables

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 #11 : Algebraic Concepts

$\displaystyle 54m* 6m=$

Possible Answers:

$324m^{2}$ $\displaystyle 324m^{2}$

$60m^{2}$ $\displaystyle 60m^{2}$

324m $\displaystyle 324m$

$546m^{2}$ $\displaystyle 546m^{2}$

Correct answer:

$324m^{2}$ $\displaystyle 324m^{2}$

Explanation:

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

$54m*6m=324m^{2}$ $\displaystyle 54m*6m=324m^{2}$

Answer: $324m^{2}$ $\displaystyle 324m^{2}$

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Example Question #12 : Algebraic Concepts

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

Possible Answers:

$6r^{4}$ $\displaystyle 6r^{4}$

$\displaystyle 6r$

$6r^{22}$ $\displaystyle 6r^{22}$

$5r^{4}$ $\displaystyle 5r^{4}$

Correct answer:

$6r^{4}$ $\displaystyle 6r^{4}$

Explanation:

Multiply the whole numbers and add the exponents:

$3r^{2}*2r^{2}=6r^{4}$ $\displaystyle 3r^{2}*2r^{2}=6r^{4}$

Answer: $6r^{4}$ $\displaystyle 6r^{4}$

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Example Question #13 : Algebraic Concepts

$15w^{3}*12w=$ $\displaystyle 15w^{3}*12w=$

Possible Answers:

$3w^{2}$ $\displaystyle 3w^{2}$

$27w^{4}$ $\displaystyle 27w^{4}$

$180w^{3}$ $\displaystyle 180w^{3}$

$180w^{4}$ $\displaystyle 180w^{4}$

Correct answer:

$180w^{4}$ $\displaystyle 180w^{4}$

Explanation:

Multiply the whole numbers and add the exponents:

$15w^{3}*12w=180w^{4}$ $\displaystyle 15w^{3}*12w=180w^{4}$

Answer: $180w^{4}$ $\displaystyle 180w^{4}$

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Example Question #14 : Algebraic Concepts

$\displaystyle 17k*11k=$

Possible Answers:

$6k^{2}$ $\displaystyle 6k^{2}$

$187k^{2}$ $\displaystyle 187k^{2}$

$28k^{2}$ $\displaystyle 28k^{2}$

$77k^{2}$ $\displaystyle 77k^{2}$

Correct answer:

$187k^{2}$ $\displaystyle 187k^{2}$

Explanation:

Multiply the whole numbers and add the exponents:

$17k*11k=187k^{2}$ $\displaystyle 17k*11k=187k^{2}$

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Example Question #15 : Algebraic Concepts

$22q*13q^{2}=$ $\displaystyle 22q*13q^{2}=$

Possible Answers:

286q $\displaystyle 286q$

$286q^{3}$ $\displaystyle 286q^{3}$

$286q^{2}$ $\displaystyle 286q^{2}$

$35q^{3}$ $\displaystyle 35q^{3}$

Correct answer:

$286q^{3}$ $\displaystyle 286q^{3}$

Explanation:

Multiply the whole numbers and add the exponents:

$22q*13q^{2}=286q^{3}$ $\displaystyle 22q*13q^{2}=286q^{3}$

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Example Question #16 : Algebraic Concepts

$7h^{5}*15h^{2}=$ $\displaystyle 7h^{5}*15h^{2}=$

Possible Answers:

$105h^{3}$ $\displaystyle 105h^{3}$

105h $\displaystyle 105h$

$105h^{7}$ $\displaystyle 105h^{7}$

$22h^{7}$ $\displaystyle 22h^{7}$

Correct answer:

$105h^{7}$ $\displaystyle 105h^{7}$

Explanation:

Multiply the whole numbers and add the exponents:

$7h^{5}*15h^{2}=105h^{7}$ $\displaystyle 7h^{5}*15h^{2}=105h^{7}$

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Example Question #17 : Algebraic Concepts

$\displaystyle 16y* 10y =$

Possible Answers:

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

160y $\displaystyle 160y$

$6y^{2}$ $\displaystyle 6y^{2}$

$160y^{2}$ $\displaystyle 160y^{2}$

Correct answer:

$160y^{2}$ $\displaystyle 160y^{2}$

Explanation:

Multiply the whole numbers and add the exponents:

$16y* 10y =160y^{2}$ $\displaystyle 16y* 10y =160y^{2}$

Answer: $160y^{2}$ $\displaystyle 160y^{2}$

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Example Question #18 : Algebraic Concepts

$25t^{2}* 11t =$ $\displaystyle 25t^{2}* 11t =$

Possible Answers:

275t $\displaystyle 275t$

$275^{4}$ $\displaystyle 275^{4}$

$275t^{3}$ $\displaystyle 275t^{3}$

$26t^{3}$ $\displaystyle 26t^{3}$

Correct answer:

$275t^{3}$ $\displaystyle 275t^{3}$

Explanation:

Multiply the whole numbers and add the exponents:

$25t^{2}* 11t =275t^{3}$ $\displaystyle 25t^{2}* 11t =275t^{3}$

Answer: $275t^{3}$ $\displaystyle 275t^{3}$

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Example Question #19 : Algebraic Concepts

$\displaystyle 4n* 12n =$

Possible Answers:

$8n^{2}$ $\displaystyle 8n^{2}$

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

$48n^{2}$ $\displaystyle 48n^{2}$

48n $\displaystyle 48n$

Correct answer:

$48n^{2}$ $\displaystyle 48n^{2}$

Explanation:

Multiply the whole numbers and add the exponents:

$4n* 12n =48n^{2}$ $\displaystyle 4n* 12n =48n^{2}$

Answer: $48n^{2}$ $\displaystyle 48n^{2}$

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Example Question #11 : Operations

Simplify the expression:

16q*5q $\displaystyle 16q*5q$

Possible Answers:

$21q^{2}$ $\displaystyle 21q^{2}$

80q $\displaystyle 80q$

54q $\displaystyle 54q$

11q^2 $\displaystyle 11q^2$

$80q^{2}$ $\displaystyle 80q^{2}$

Correct answer:

$80q^{2}$ $\displaystyle 80q^{2}$

Explanation:

The commutative property lets us reorganize the expression.

$\displaystyle 16q*5q=16*q*5*q=16*5*q*q$

By separating the whole numbers and the variables, we can easily multiply.

16*5=80 $\displaystyle 16*5=80$

q*q=q^2 $\displaystyle q*q=q^2$

$\displaystyle 16*5*q*q=80*q^2=80q^2$

$16q*5q=80q^{2}$ $\displaystyle 16q*5q=80q^{2}$

Answer: $80q^{2}$ $\displaystyle 80q^{2}$

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Variables

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #11 : Algebraic Concepts

Example Question #12 : Algebraic Concepts

Example Question #13 : Algebraic Concepts

Example Question #14 : Algebraic Concepts

Example Question #15 : Algebraic Concepts

Example Question #16 : Algebraic Concepts

Example Question #17 : Algebraic Concepts

Example Question #18 : Algebraic Concepts

Example Question #19 : Algebraic Concepts

Example Question #11 : Operations

All ISEE Middle Level Math Resources

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