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Pre-Algebra : Operations and Properties

Study concepts, example questions & explanations for Pre-Algebra

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #251 : Operations And Properties

Solve: $\displaystyle -2^2(-2)^2-2^2$

Possible Answers:

$\displaystyle -20$

$\displaystyle 20$

$\displaystyle -24$

$\displaystyle -64$

$\displaystyle -16$

Correct answer:

$\displaystyle -20$

Explanation:

Use the order of operations to solve this. A negative number that is not in parentheses squared will remain negative.

$\displaystyle -2^2(-2)^2-2^2 = -4(4)-4 = -16-4 =-20$

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Example Question #1263 : Pre Algebra

Simplify:

$-\left(\frac{-3-6}{3+6}\right)$ $\displaystyle -\left(\frac{-3-6}{3+6}\right)$

Possible Answers:

$\displaystyle 0$

$\displaystyle -1$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\displaystyle -6$

$\displaystyle 1$

Correct answer:

$\displaystyle 1$

Explanation:

Simplify the numerator and the denominator first.

$-\left(\frac{-3-6}{3+6}\right) = -\left(\frac{-9}{9}\right)$ $\displaystyle -\left(\frac{-3-6}{3+6}\right) = -\left(\frac{-9}{9}\right)$

Divide the terms inside the parentheses.

$=-\left(\frac{-9}{9}\right)$ $\displaystyle =-\left(\frac{-9}{9}\right)$

Distribute the negative sign. Double negatives will result in a positive sign.

$\displaystyle = -(-1)=1$

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Example Question #231 : Grade 7

-3+5 $\displaystyle -3+5$

Possible Answers:

$\displaystyle -2$

$\displaystyle 8$

$\displaystyle 2$

$\displaystyle 6$

$\displaystyle -8$

Correct answer:

$\displaystyle 2$

Explanation:

Since $\displaystyle 5$ is greater than $\displaystyle 3$ and is positive, our answer is positive. We treat as a subtraction problem. Answer is $\displaystyle 2$.

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Example Question #4 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

14+(-7) $\displaystyle 14+(-7)$

Possible Answers:

$\displaystyle -7$

$\displaystyle 7$

$\displaystyle 21$

$\displaystyle 14$

$\displaystyle -21$

Correct answer:

$\displaystyle 7$

Explanation:

When a plus and minus sign meet, the sign is negative. The difference is $\displaystyle 7$.

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Example Question #5 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

$\displaystyle -21+(-34)$

Possible Answers:

$\displaystyle 13$

$\displaystyle -55$

$\displaystyle -13$

$\displaystyle 55$

$\displaystyle 11$

Correct answer:

$\displaystyle -55$

Explanation:

When a plus and a minus meet, the sign is negative. When adding two negatie numbers, we treat as addition and add the minus sign in the end. Answer is $\displaystyle -55$.

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Example Question #2 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

4-(-8) $\displaystyle 4-(-8)$

Possible Answers:

$\displaystyle -4$

$\displaystyle 4$

$\displaystyle 6$

$\displaystyle -12$

$\displaystyle 12$

Correct answer:

$\displaystyle 12$

Explanation:

When minus signs meet, the sign becomes positive. This becomes an addition problem. Answer is $\displaystyle 12$.

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Example Question #252 : Operations And Properties

-23-56 $\displaystyle -23-56$

Possible Answers:

$\displaystyle -79$

$\displaystyle -33$

$\displaystyle 79$

$\displaystyle 45$

$\displaystyle 33$

Correct answer:

$\displaystyle -79$

Explanation:

This is also the sum of two negative numbers. In this case, we add the numbers and then add a minus sign in the end. Answer is $\displaystyle -79$.

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Example Question #5 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

$\displaystyle -46-(-23)$

Possible Answers:

$\displaystyle -69$

$\displaystyle 69$

$\displaystyle 27$

$\displaystyle -23$

$\displaystyle 23$

Correct answer:

$\displaystyle -23$

Explanation:

When two minus signs meet, the sign becomes positive. Since $\displaystyle 46$ is greater than $\displaystyle 23$ and is negative, our answer is negative. We treat as a subtraction problem. Answer is $\displaystyle -23$.

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Example Question #121 : The Number System

-8*8 $\displaystyle -8*8$

Possible Answers:

$\displaystyle -16$

$\displaystyle -64$

$\displaystyle 64$

$\displaystyle -1$

$\displaystyle 32$

Correct answer:

$\displaystyle -64$

Explanation:

When a positive number and a negative number is multiplied, the answer is negative. Just multiply normally. Answer is $\displaystyle -64$.

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Example Question #3 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

-13*-14 $\displaystyle -13*-14$

Possible Answers:

152 $\displaystyle 152$

$\displaystyle -182$

$\displaystyle -162$

192 $\displaystyle 192$

182 $\displaystyle 182$

Correct answer:

182 $\displaystyle 182$

Explanation:

When two negative numbers are multiplied, the answer is positive. Multiply normaly. Answer is 182 $\displaystyle 182$.

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Pre-Algebra : Operations and Properties

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #251 : Operations And Properties

Example Question #1263 : Pre Algebra

Example Question #231 : Grade 7

Example Question #4 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Example Question #5 : Understand Distances Between Numbers On A Number Line: Ccss.Math.Content.7.Ns.A.1b

Example Question #2 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Example Question #252 : Operations And Properties

Example Question #5 : Subtract Rational Numbers And Understand The Absolute Value Of Their Difference: Ccss.Math.Content.7.Ns.A.1c

Example Question #121 : The Number System

Example Question #3 : Interpret Products Of Rational Numbers And Understand Properites Of Operations: Ccss.Math.Content.7.Ns.A.2a

All Pre-Algebra Resources

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