Absolute Value and Algebraic Expressions
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Questions and Answers

Which of the following statements best describes the concept of absolute value?

  • The distance of a number from zero, always non-negative. (correct)
  • The value of a number including its sign.
  • The value of a number when it is always positive.
  • The value of a number indicating its position relative to zero.

In the algebraic expression $5y^2 - 3y + 8$, the coefficient of the term $y$ is 3.

False (B)

Simplify the following algebraic expression by combining like terms: $9a + 3b - 4a + 2b$.

5a + 5b

According to the order of operations, also known as PEMDAS or BODMAS, the first operation to perform in the expression $2 × (3 + 5) - 4 ÷ 2$ is the operation inside the ___________.

<p>parentheses</p> Signup and view all the answers

Match the integer operations with their correct results:

<p>$-8 + 5$ = $-3$ $4 - (-6)$ = $10$ $-3 - 7$ = $-10$ $2 + (-9)$ = $-7$</p> Signup and view all the answers

Which of the following expressions correctly applies the distributive property?

<p>$4(a + 5) = 4a + 20$ (A)</p> Signup and view all the answers

Adding zero to any integer changes the value of the integer.

<p>False (B)</p> Signup and view all the answers

What is the result of the operation $-15 + 8 - (-4)$?

<p>-3</p> Signup and view all the answers

When subtracting integers, subtracting a negative integer is the same as ____________ a positive integer.

<p>adding</p> Signup and view all the answers

A submarine is 50 meters below sea level (-50 meters) and ascends 15 meters. What is its new position relative to sea level?

<p>-35 meters (D)</p> Signup and view all the answers

Flashcards

Absolute Value

Distance from zero on the number line, always non-negative.

Algebraic Expression

Combination of numbers, variables, and operations.

Variable

A symbol representing an unknown number.

Constants

Numbers with a fixed value.

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Terms

Parts of an algebraic expression separated by + or - signs.

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Like Terms

Terms with the same variable raised to the same power.

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Coefficient

Number that multiplies the variable.

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Integers

Whole numbers and their negatives.

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Adding a Positive Integer

Moving right on the number line.

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Subtracting Integers Rule

Change subtraction to addition, change the sign of the second integer.

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Description

Learn about the role of absolute value. An absolute value indicates the distance of a number from zero on the number line. Also, algebraic expressions are combinations of numbers, variables, and mathematical operations.

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