Addition of Algebraic Expressions (Quiz #1)

What is the result when you combine the terms 3x, 5x, and 2x together?

• 15x

• 7x

• 10x

• 12x

Answer explanation

To combine the like terms 3x, 5x, and 2x, we add the coefficients of x together:

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

3x+5x+2x = 10x

Therefore, the result of combining the like terms 3x, 5x, and 2x is 10x.

Simplify the expression 4a + 3b + 2a + 7b.

• 7a+10b

• 6a+10b

• 9a+10b

• 6a+14b

Answer explanation

To simplify the expression 4a+3b+2a+7b, we combine the like terms:

4a+3b+2a+7b = (4a+2a)+(3b+7b)

    4a+3b+2a+7b = 6a + 10b

Therefore, the simplified form of the expression 4a+3b+2a+7b is 6a + 10b.

Solve the expression 7y + 3y + 2y + 5.

• 17y+5

• 12y+5

• 9y+5

• 12y+7

Answer explanation

To solves the expression 7y+3y+2y+5, we need to combine the like terms:

7y+3y+2y+5 = (7+3+2)y+5

7y+3y+2y+5 = 12y+5

Therefore, the result of the expression 7y+3y+2y+5 is 12y + 5.

If x = 2, what is 3x + 4?

• 12

• 10

• 8

• 6

Answer explanation

To evaluate the expression 3x+4 when x=2, we substitute x with 2:

3x+4 = 3(2)+4

3x+4 = 6+4

3x+4 = 10

Therefore, when x=2, the value of the expression 3x+4 is 10.

What will be the answer when you combine the terms 5m, 2n, 3m, and 4n together?

• 2m+4n

• 8m+6n

• 6m+8n

• 5m+4n

Answer explanation

To simplify the expression 5m+2n+3m+4n, we combine the like terms:

5m+2n+3m+4n = (5m+3m)+(2n+4n)

5m+2n+3m+4n = 8m + 6n

Therefore, the simplified form of the expression 5m+2n+3m+4n is 8m + 6n.

If a=3, what is 2a² + 3a?

• 18

• 21

• 15

• 27

Answer explanation

To evaluate the expression 2a²+3a when a=3, We substitute a with 3:

2a²+3a = 2(3)²+3(3)

2a²+3a = 2(9)+9

2a²+3a = 18+9

2a²+3a = 27

Therefore, when a=3, the value of the expression is 27.

If b = -1, what is 4b + 6?

• 4

• 0

• -2

• 2

Answer explanation

To evaluate the expression 4b+6 when b=-1, we substitute b with -1:

4b+6 = 4(-1) + 6

4b+6 = (-4) + 6

4b+6 = 2

Therefore, when b =-1, the value of the expression 4b+6 is 2.

When you combine the terms 6p, 4q, 2p, and 3q together, what is the simplified expression?

• 2p+5q

• 6p+7q

• 8p+7q

• 4p+5q

Answer explanation

To combine the like terms in the expression 6p+4q+2p+3q, we group the terms with 'p' and 'q' together:

6p+4q+2p+3q = (6p+2p)+(4q+3q)

6p+4q+2p+3q = 8p+7q

Therefore, the result of combining the like terms in the expression 6p+4q+2p+3q is 8p+7q.

When you combine the terms 9z, 4z, 2z, and 3z together, what is the simplified expression?

• 18z

• 12z

• 15z

• 10z

Answer explanation

To combine the like terms in the expression 9z+4z+2z+3z, we group the terms with 'z' together:

9z+4z+2z+3z = (9+4+2+3)z

9z+4z+2z+3z = 18z

Therefore, the result of combining the like terms in the expression 9z+4z+2z+3z is 18z.

Simplify the expression 8x + 3y + 2x + 5y.

• 10x+8y

• 10x+2y

• 8x+8y

• 6x+2y

Answer explanation

To simplify the expression 8x+3y+2x+5y, we combine the like terms:

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

8x+3y+2x+5y = 10x+8y

Therefore, the simplified form of the expression 8x+3y+2x+5y is 10x+8y.