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HSPT Math : Concepts

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 #921 : Concepts

Solve for $\displaystyle x$:

4x+8=4 $\displaystyle 4x+8=4$

Possible Answers:

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

x=1 $\displaystyle x=1$

x=0 $\displaystyle x=0$

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

Correct answer:

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

Explanation:

4x+8=4 $\displaystyle 4x+8=4$

$\displaystyle 4x+8-8=4-8$

4x=-4 $\displaystyle 4x=-4$

$\frac{4x}{4}=\frac{-4}{4}$ $\displaystyle \frac{4x}{4}=\frac{-4}{4}$

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

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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 #923 : Concepts

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

Possible Answers:

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

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

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

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

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 #924 : Concepts

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

Possible Answers:

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

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

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

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

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 #925 : 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 #926 : Concepts

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

Possible Answers:

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

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

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

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

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 #927 : Concepts

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

Possible Answers:

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

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

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

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

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 #928 : Concepts

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

Possible Answers:

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

192g $\displaystyle 192g$

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

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

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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Example Question #929 : Concepts

Multiply: 67a*9a= $\displaystyle 67a*9a=$

Possible Answers:

$603a^{2}$ $\displaystyle 603a^{2}$

$58a^{2}$ $\displaystyle 58a^{2}$

$679a^{2}$ $\displaystyle 679a^{2}$

$75a^{2}$ $\displaystyle 75a^{2}$

Correct answer:

$603a^{2}$ $\displaystyle 603a^{2}$

Explanation:

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

$67a*9a=603a^{2}$ $\displaystyle 67a*9a=603a^{2}$

Answer: $603a^{2}$ $\displaystyle 603a^{2}$

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Example Question #930 : Concepts

Solve for $\displaystyle x$.

3x+4=-2 $\displaystyle 3x+4=-2$

Possible Answers:

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

$x=-\frac{2}{3}$ $\displaystyle x=-\frac{2}{3}$

x=2 $\displaystyle x=2$

$x=\frac{2}{3}$ $\displaystyle x=\frac{2}{3}$

Correct answer:

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

Explanation:

3x+4=-2 $\displaystyle 3x+4=-2$

$\displaystyle 3x+4-4=-2-4$

3x=-6 $\displaystyle 3x=-6$

$\frac{3x}{3}=\frac{-6}{3}$ $\displaystyle \frac{3x}{3}=\frac{-6}{3}$

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

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HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #921 : Concepts

Example Question #922 : Concepts

Example Question #923 : Concepts

Example Question #924 : Concepts

Example Question #925 : Concepts

Example Question #926 : Concepts

Example Question #927 : Concepts

Example Question #928 : Concepts

Example Question #929 : Concepts

Example Question #930 : Concepts

All HSPT Math Resources

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