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HSPT Math : Algebra

Study concepts, example questions & explanations for HSPT Math

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All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #41 : Operations

$t^{2}*t^{2}=$

Possible Answers:

$t^{4}$

Cannot be simplified further

$t^{22}$

Correct answer:

$t^{4}$

Explanation:

Because the two terms have the same base, add the exponents and leave the base unchanged:

$t^{2}*t^{2}=t^{4}$

Answer: $t^{4}$

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Example Question #42 : Operations

$y^{15}*y^{3}=$

Possible Answers:

Cannot be simplified further

$y^{158}$

$y^{12}$

$y^{45}$

$y^{18}$

Correct answer:

$y^{18}$

Explanation:

Add the exponents because we are multiplying two terms with the same base:

$y^{15}*y^{3}=y^{18}$

Answer: $y^{18}$

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Example Question #43 : Operations

$f^{8}*f^{9}=$

Possible Answers:

$f^{89}$

$f^{11}$

$f^{17}$

Cannot be simplified further

Correct answer:

$f^{17}$

Explanation:

To solve, add the exponents:

$f^{8}*f^{9}=f^{17}$

Answer: $f^{17}$

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Example Question #44 : Operations

$g^{6}*g^{6}=$

Possible Answers:

$g^{0}$

$g^{12}$

Cannot be simplified further

$g^{36}$

Correct answer:

$g^{12}$

Explanation:

To simplify, add the exponents:

$g^{6}*g^{6}=g^{12}$

Answer: $g^{12}$

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Example Question #45 : Operations

Multiply:

$z\cdot z^{2}=$

Possible Answers:

$z^{2}$

$z^{4}$

$z^{3}$

Correct answer:

$z^{3}$

Explanation:

To solve add the exponents:

$z*z^{2}=z^{3}$

Answer: $z^{3}$

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Example Question #46 : Operations

Multiply:

$z^{3}\cdot z^{9}=$

Possible Answers:

$z^{6}$

$z^{36}$

$z^{12}$

$z^{13}$

Correct answer:

$z^{12}$

Explanation:

To solve add the exponents:

$z^{3}\cdot z^{9}=z^{12}$

Answer: $z^{12}$

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Example Question #47 : Operations

Multiply:

$y^{22}\cdot y^{3}=$

Possible Answers:

y+25

$y^{25}$

$y^{19}$

Correct answer:

$y^{25}$

Explanation:

To solve add the exponents:

$y^{22}\cdot y^{3}=y^{25}$

Answer: $y^{25}$

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Example Question #48 : Operations

Multiply:

$p^{14}\cdot p^{16}=$

Possible Answers:

$p^{30}$

$p^{1416}$

$p^{2}$

Correct answer:

$p^{30}$

Explanation:

To solve add the exponents:

$p^{14}\cdot p^{16}=p^{30}$

Answer: $p^{30}$

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Example Question #49 : Operations

Simplify:

(435.35)^0

Possible Answers:

435.35

The expression is undefined

$435^{35}$

Correct answer:

Explanation:

Any non-zero number raised to the power of zero is equal to .

(435.35)^0=1

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Example Question #50 : Operations

Simplify:

$(x^4)^{\frac{5}{2}}$

Possible Answers:

$x^{12}$

x^5

$x^{10}$

$x^{20}$

$x^{8}$

Correct answer:

$x^{10}$

Explanation:

We can apply the power of a power property:

$(x^4)^{\frac{5}{2}}=x^{(4\times \frac{5}{2})}=x^{10}$

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All HSPT Math Resources

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HSPT Math : Algebra

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #41 : Operations

Example Question #42 : Operations

Example Question #43 : Operations

Example Question #44 : Operations

Example Question #45 : Operations

Example Question #46 : Operations

Example Question #47 : Operations

Example Question #48 : Operations

Example Question #49 : Operations

Example Question #50 : Operations

All HSPT Math Resources

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