Subtraction of Algebraic Expressions (Quiz #2)

Simplify the expression 2x - 3 when x = 5.

• 2

• 5

• 7

• 10

Answer explanation

To simplify the expression 2x-3 when x=5, we substitute x with 5:

2x-3 = 2(5)–3

2x-3 = 10–3

2x-3 = 7

Therefore, when x=5, the value of the expression 2x-3 is 7.

Simplify the expression 6m - 2n - 4m - 3n.

• 2m-n

• 2m-5n

• 4m+2n

• 6m+5n

Answer explanation

To simplify the expression 6m-2n-4m-3n, we can combine like terms:

6m-2n-4m-3n = (6m-4m)+(-2n-3n)

6m-2n-4m-3n = 2m-5n

Therefore, the simplest form of the expression 6m-2n-4m-3n is 2m-5n.

Combine the terms 3x - 5x - 2x.

• 6x

• -5x

• 7x

• -4x

Answer explanation

To combine like terms in the expression

3x-5x-2x, we can simplify it by adding or subtracting the coefficients of the like terms:

3x-5x-2x = (3-5-2)x     

3x-5x-2x = (-4)x

3x-5x-2x = -4x

Therefore, the simplest form of 3x-5x-2x is -4x.

Simplify the expression 4a - 2b - 3a - b.

• 3a+b

• 4a+2b

• a-3b

• a+b

Answer explanation

To simplify the expression 4a-2b-3a-b, we can combine like terms:

4a-2b-3a-b = (4a-3a)-(2b+b)

4a-2b-3a-b = a–3b

Therefore, the simplified expression 4a-2b-3a-b is a–3b.

Evaluate the expression 5p - 2 when p = 4.

• 10

• 14

• 18

• 20

Answer explanation

To evaluate the expression 5p-2 when p=4, we substitute p with 4:

5p-2 = 5(4)-2

5p-2 = 20–2

5p-2 = 18

Therefore, when p=4, the value of the expression 5p-2 is 18.

Evaluate the expression 3k - 7 when k = 2.

• 10

• -1

• 13

• 2

Answer explanation

To evaluate the expression 3k-7 when k=2, we substitute k with 2:

3k-7 = 3(2)–7

3k-7 = 6–7

3k-7 = -1

Therefore, when k=2, the value of the expression 3k-7 is -1.

Simplify the expression 10a - 4b - 2a - 3b.

• 10a+7b

• 12a-b

• 12a+2b

• 8a-7b

Answer explanation

To simplify the expression 10a-4b-2a-3b, we need to combine like terms:

10a-4b-2a-3b = (10a-2a)-(4b+3b)

10a-4b-2a-3b = 8a-7b

Therefore, the simplest form of the expression 10a-4b-2a-3b is 8a-7b.

Simplify the expression 8x - 2 - 3x - 5.

• 8x-7

• 5x+2

• 3x-3

• 5x-7

Answer explanation

To combine like terms in the expression 8x-2-3x-5, we simplify it as follows:

8x-2-3x-5 = (8x-3x)-(2+5)

8x-2-3x-5 = 5x-7 

Therefore, the simplest form of the expression 8x-2-3x-5 after combining like terms is 5x-7.

Evaluate the expression 3a – 4 – 6a when a = 2.

• -10

• 22

• 10

• 2

Answer explanation

To evaluate the expression 3a–4–6a when a=2, we substitute a with 2:

3a–4–6a = 3(2)-4-6(2)

   3a–4–6a = 6-4-12

    3a–4–6a = 2-12

    3a–4–6a = -10

Therefore, the value of the expression 3a–4–6a when k=2 is -10.

Simplify the expression 9y - 2y - 3y - 6 when y = 2.

• 2

• 4

• -2

• -4

Answer explanation

To simplify the expression 9y-2y-3y-6 when y=2, we substitute y with 2:

9y-2y-3y-6 = 9(2)-2(2)-3(2)-6

9y-2y-3y-6 = 18-4-6-6

9y-2y-3y-6 = 14-6-6

9y-2y-3y-6 = 8-6

9y-2y-3y-6 = 2

Therefore, the value of the expression 9y 2y-3y-6 when y=2 is 2.