Adding And Subtracting Linear Algebraic Expressions

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Quizzes Created: 1 | Total Attempts: 784

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1/10 Questions

Simplify
- 10x
- 7x
- 4x
- 3x

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.

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.

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3.

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.

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4.

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.

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5.

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.

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6.

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.

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7.

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.

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3
8.

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.

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9.

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.

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0
10.

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.

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