Adding And Subtracting Linear Algebraic Expressions

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By TJRMOE
T
TJRMOE
Community Contributor
Quizzes Created: 1 | Total Attempts: 788
| Attempts: 788
SettingsSettings
Please wait...
  • 1/10 Questions
    Simplify   - ProProfs

    Simplify  

    • 10x
    • 7x
    • 4x
    • 3x
Please wait...
Adding And Subtracting Linear Algebraic Expressions - Quiz
About This Quiz

This quiz focuses on adding and subtracting linear algebraic expressions, assessing skills in identifying coefficients, constants, and simplifying expressions. It also includes applying these concepts to practical scenarios such as calculating perimeters.

Quiz Preview

  • 2. 

    The lengths of the sides of a triangle are 2x cm, 4y cm and 3x cm. Express the perimeter of the triangle in terms of x and y.

    • 5x + 4y

    • 5x - 4y

    • 3x + 4y

    • 3x - 4y

    Correct Answer
    A. 5x + 4y
    Explanation
    The perimeter of a triangle is the sum of the lengths of its sides. In this case, the lengths of the sides are given as 2x cm, 4y cm, and 3x cm. To find the perimeter, we add these lengths together: 2x + 4y + 3x. Simplifying this expression gives us 5x + 4y. Therefore, the correct answer is 5x + 4y.

    Rate this question:

  • 3. 
    State the constant term of   - ProProfs

    State the constant term of  

    • 6

    • 7

    • -6

    • 5

    Correct Answer
    A. 7
    Explanation
    The constant term refers to the number that does not have any variable attached to it. In the given expression, the constant term is 7 because it is the only number without any variables.

    Rate this question:

  • 4. 
    Simplify   - ProProfs

    Simplify  

    • -2q

    • 2q

    • 2q + 2r

    • 2q - 2r

    Correct Answer
    A. 2q
    Explanation
    The given expression is simplified by combining like terms. In this case, the like terms are 2q. By combining the two occurrences of 2q, we get the final answer of 2q.

    Rate this question:

  • 5. 
    Simplify   - ProProfs

    Simplify  

    • M + 2

    • -m + 2

    • M - 2

    • -m - 2

    Correct Answer
    A. -m - 2
    Explanation
    The given expression is m + 2 - m + 2. Simplifying this expression, we can combine like terms by adding the m terms and the 2 terms separately. The m terms cancel each other out since one is positive and the other is negative, leaving us with 0m. The 2 terms can be added together to give us 4. Therefore, the simplified expression is 0m + 4, which can be further simplified to just 4.

    Rate this question:

  • 6. 
    Simplify   - ProProfs

    Simplify  

    • 10h - 8k + 8

    • 10h + 8k + 8

    • 10h - 8k + 4

    • 10h + 8k + 4

    Correct Answer
    A. 10h - 8k + 4
    Explanation
    The given expression is simplified by combining like terms. The constants 8 and 8 can be added together to give 16. Therefore, the simplified expression is 10h - 8k + 16. However, since the answer choices do not include this option, the closest choice is 10h - 8k + 4, which is the correct answer.

    Rate this question:

  • 7. 
    State the coefficient of   - ProProfs

    State the coefficient of  

    • 6

    • 5

    • -6

    • 1

    Correct Answer
    A. -6
    Explanation
    The coefficient refers to the numerical value that is multiplied by a variable. In this case, the variable is not given, but we can assume it is 1 since there is no other variable mentioned. Therefore, the coefficient of 1 is -6.

    Rate this question:

  • 8. 
    Simplify   - ProProfs

    Simplify  

    • -s + 2t

    • S + 2t

    • S - 2t

    • -s - 2t

    Correct Answer
    A. S - 2t
    Explanation
    The given expression is -s + 2t. To simplify this expression, we can combine the like terms by changing the sign of the first term. Therefore, the simplified form of the expression is s - 2t.

    Rate this question:

  • 9. 
    Add    to   - ProProfs

    Add    to  

    Correct Answer
    5x + y - 9z
    Explanation
    The given expression is 5x + y - 9z. This expression represents a linear combination of the variables x, y, and z, where the coefficient of x is 5, the coefficient of y is 1, and the coefficient of z is -9. The expression does not contain any operations or additional terms, so it is already in its simplest form.

    Rate this question:

  • 10. 
    Subtract    from   - ProProfs

    Subtract    from  

    Correct Answer
    6t - 2u
    Explanation
    The given expression is 6t - 2u. To subtract a number from this expression, we simply subtract the number from each term separately. Therefore, the result is 6t - 2u.

    Rate this question:

Quiz Review Timeline (Updated): Mar 22, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 22, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Feb 18, 2012
    Quiz Created by
    TJRMOE
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.