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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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

Example Questions

Example Question #641 : Concepts

Simplify:

$-8 (-2y^{2}+ 7y - 9)$ $\displaystyle -8 (-2y^{2}+ 7y - 9)$

Possible Answers:

$16y^{2} -56y+72$ $\displaystyle 16y^{2} -56y+72$

$16y^{2} +7y-9$ $\displaystyle 16y^{2} +7y-9$

$16y^{2} -7y+9$ $\displaystyle 16y^{2} -7y+9$

$16y^{2} -56y-72$ $\displaystyle 16y^{2} -56y-72$

Correct answer:

$16y^{2} -56y+72$ $\displaystyle 16y^{2} -56y+72$

Explanation:

$-8 (-2y^{2}+ 7y - 9)$ $\displaystyle -8 (-2y^{2}+ 7y - 9)$

$= -8\cdot (-2y^{2} ) +\left ( -8 \right ) \cdot 7y -\left ( - 8\right ) \cdot 9$ $\displaystyle = -8\cdot (-2y^{2} ) +\left ( -8 \right ) \cdot 7y -\left ( - 8\right ) \cdot 9$

$= 16y^{2} -56y+72$ $\displaystyle = 16y^{2} -56y+72$

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Example Question #3 : How To Multiply Variables

Multiply:

$\displaystyle -4x(x+3)$

Possible Answers:

$\displaystyle 4x^2+12x$

$\displaystyle -4x^2-12x$

$\displaystyle 4x^2-12x$

$\displaystyle -4x^2+12x$

Correct answer:

$\displaystyle -4x^2-12x$

Explanation:

$\displaystyle -4x(x+3)=(-4x)(x)+(-4x)3=-4x^2+(-12x)$

$\displaystyle =-4x^2-12x$

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Example Question #3 : Algebraic Concepts

67h*3h= $\displaystyle 67h*3h=$

Possible Answers:

200h $\displaystyle 200h$

201h $\displaystyle 201h$

$201h^{2}$ $\displaystyle 201h^{2}$

$200h^{2}$ $\displaystyle 200h^{2}$

Correct answer:

$201h^{2}$ $\displaystyle 201h^{2}$

Explanation:

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

$67h*3h=201h^{2}$ $\displaystyle 67h*3h=201h^{2}$

Answer: $201h^{2}$ $\displaystyle 201h^{2}$

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Example Question #1 : Algebraic Concepts

$602k*3k^{3}=$ $\displaystyle 602k*3k^{3}=$

Possible Answers:

$1806k^{4}$ $\displaystyle 1806k^{4}$

1806k $\displaystyle 1806k$

$1806k^{3}$ $\displaystyle 1806k^{3}$

$1204k^{4}$ $\displaystyle 1204k^{4}$

Correct answer:

$1806k^{4}$ $\displaystyle 1806k^{4}$

Explanation:

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

$602k*3k^{3}=1806k^{4}$ $\displaystyle 602k*3k^{3}=1806k^{4}$

Answer: $1806k^{4}$ $\displaystyle 1806k^{4}$

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Example Question #2 : How To Multiply Variables

$45n^{2}*5n^{2}=$ $\displaystyle 45n^{2}*5n^{2}=$

Possible Answers:

$45n^{4}$ $\displaystyle 45n^{4}$

452n $\displaystyle 452n$

$225n^{4}$ $\displaystyle 225n^{4}$

90n $\displaystyle 90n$

Correct answer:

$225n^{4}$ $\displaystyle 225n^{4}$

Explanation:

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

$45n^{2}*5n^{2}=225n^{4}$ $\displaystyle 45n^{2}*5n^{2}=225n^{4}$

Answer: $225n^{4}$ $\displaystyle 225n^{4}$

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Example Question #3 : How To Multiply Variables

$\displaystyle 33d*11d=$

Possible Answers:

$363d^{3}$ $\displaystyle 363d^{3}$

$363d^{2}$ $\displaystyle 363d^{2}$

363d $\displaystyle 363d$

$3311d^{2}$ $\displaystyle 3311d^{2}$

Correct answer:

$363d^{2}$ $\displaystyle 363d^{2}$

Explanation:

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

$33d*11d=363d^{2}$ $\displaystyle 33d*11d=363d^{2}$

Answer: $363d^{2}$ $\displaystyle 363d^{2}$

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Example Question #1241 : Hspt Mathematics

$\displaystyle 54m* 6m=$

Possible Answers:

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

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

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

324m $\displaystyle 324m$

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 #1242 : Hspt Mathematics

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

Possible Answers:

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

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

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

$\displaystyle 6r$

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 #1243 : Hspt Mathematics

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

Possible Answers:

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

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

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

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

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 #1244 : Hspt Mathematics

$\displaystyle 17k*11k=$

Possible Answers:

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

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

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

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

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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All HSPT Math Resources

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #641 : Concepts

Example Question #3 : How To Multiply Variables

Example Question #3 : Algebraic Concepts

Example Question #1 : Algebraic Concepts

Example Question #2 : How To Multiply Variables

Example Question #3 : How To Multiply Variables

Example Question #1241 : Hspt Mathematics

Example Question #1242 : Hspt Mathematics

Example Question #1243 : Hspt Mathematics

Example Question #1244 : Hspt Mathematics

All HSPT Math Resources

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