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HSPT Math : Algebra

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Example Questions

Example Question #41 : How To Find The Solution To An Equation

$\frac{\sqrt{25}*\sqrt{144}}{\sqrt{36}}=$

Possible Answers:

Correct answer:

Explanation:

First, solve the square roots:

$\sqrt{25}=5$

$\sqrt{144}=12$

$\sqrt{36}=6$

Then, solve accordingly:

$\frac{5*12}{6}=\frac{60}{6}=10$

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Example Question #42 : How To Find The Solution To An Equation

$\frac{\sqrt{169}}{26\div 2}=$

Possible Answers:

Correct answer:

Explanation:

First, solve the square root:

$\sqrt{169}=13$

Then, solve accordingly:

$\frac{13}{26\div 2}=\frac{13}{13}=1$

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Example Question #43 : How To Find The Solution To An Equation

$\sqrt{144}\div \sqrt{36}=$

Possible Answers:

Correct answer:

Explanation:

First, solve the square roots:

$\sqrt{144}=12$

$\sqrt{36}=6$

Then solve accordingly:

$12\div 6=2$

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Example Question #44 : How To Find The Solution To An Equation

$\sqrt{49}*\sqrt{100}=$

Possible Answers:

4900

490

Correct answer:

Explanation:

First, solve the square roots:

$\sqrt{49}=7$

$\sqrt{100}=10$

Then, solve accordingly:

7*10=70

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Example Question #541 : Algebra

Solve: 9-x=2x-9

Possible Answers:

Correct answer:

Explanation:

Start by separating the terms and the constants on different sides of the equal sign.

Add to both sides of the equation to move the integers to the left side of the equal sign, and add on both sides of the equation to move the terms on the right side of the equation.

Combine like-terms and simplify.

9-x +(9)+(x)=2x-9 +(9)+(x)

18=3x

Divide by on both sides.

x=6

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Example Question #542 : Algebra

Solve: 2a-10=10

Possible Answers:

Correct answer:

Explanation:

To solve this equation, we must isolate the unknown variable. First add 10 on both sides.

2a-10+(10)=10+(10)

2a=20

Divide by two on both sides of the equation.

a=1 0

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Example Question #543 : Algebra

Evaluate: -4 - x = 10

Possible Answers:

Correct answer:

Explanation:

To isolate the unknown variable, add the unknown variable on both sides.

-4 - x +(x)= 10+(x)

-4=10+x

Substract ten from both sides.

x=-4-10 = -14

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Example Question #544 : Algebra

Solve for : 5x=x

Possible Answers:

x=4

x=1

$x=\frac{1}{5}$

x=0

$x=\frac{1}{4}$

Correct answer:

x=0

Explanation:

Group and isolate the terms. Subtract from both sides of the equation.

5x-(x)=x-(x)

4x=0

Divide by four on both sides of the equation.

x=0

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Example Question #545 : Algebra

Solve: $-\frac{6}{x}+1 = 5$

Possible Answers:

$\frac{2}{3}$

$-\frac{3}{2}$

Correct answer:

$-\frac{3}{2}$

Explanation:

To isolate the variable, first subtract one from both sides of the equation.

$-\frac{6}{x}+1 -(1)= 5-(1)$

$-\frac{6}{x} = 4$

Multiply by negative on both sides of the equation.

6=-4x

Divide by four on both sides of the equation and reduce.

$x=-\frac{6}{4}=-\frac{3}{2}$

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Example Question #546 : Algebra

Solve: -6x+7 = -11

Possible Answers:

$\frac{11}{42}$

$-\frac{2}{3}$

$\frac{2}{3}$

Correct answer:

Explanation:

The goal is to isolate the unknown variable.

Subtract from both sides of the equation.

-6x+7 -(7)= -11-(7)

-6x = -18

Divide by on both sides.

$x=\frac{-18}{-6} = 3$

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HSPT Math : Algebra

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #41 : How To Find The Solution To An Equation

Example Question #42 : How To Find The Solution To An Equation

Example Question #43 : How To Find The Solution To An Equation

Example Question #44 : How To Find The Solution To An Equation

Example Question #541 : Algebra

Example Question #542 : Algebra

Example Question #543 : Algebra

Example Question #544 : Algebra

Example Question #545 : Algebra

Example Question #546 : Algebra

All HSPT Math Resources

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