Distributive Property Worksheet: Practice Quiz

Multiplying 3 by both terms inside the parentheses gives 3x and 12. This is why the correct distributed form is 3x + 12.

The terms 2x and 3x are like terms because they have the same variable x. Adding their coefficients (2 + 3) gives 5x.

Multiplying 2 by x gives 2x and multiplying 2 by 5 gives 10. Therefore, the simplified expression is 2x + 10.

Add the coefficients of y: 7 + 2 = 9 and then subtract 3 to get 6. The combined form is 6y.

Distributing 4 across (a + 3) gives 4a and 4 Ã - 3, which is 12. Thus, the correct answer is 4a + 12.

Multiplying -2 by 3z gives -6z, and -2 multiplied by -4 gives +8. Therefore, the expression simplifies to -6z + 8.

First, distribute to obtain 10x + 15 and then subtract 2x + 8. Combining like terms results in 8x + 7.

Expanding the expression gives 6x + 12 and 2x - 2. Adding these results in 8x + 10, which is the correct simplified form.

Distribute to get 6x + 4 and 8x - 12; combining like terms gives 14x - 8. This makes 14x - 8 the correct answer.

Distributing 7 gives 7y + 14, and then subtracting y results in 6y + 14. This is why 6y + 14 is the correct equivalent expression.

Expanding the expression gives -12a + 15 and 2a + 12. Combining these terms results in -10a + 27, which is the correct simplified form.

The variable terms combine as 2x + 5x - 3x which equals 4x, and the constant 4 remains unchanged. So the simplified expression is 4x + 4.

After distributing, you obtain 6b + 8 from the first term and -3b + 6 from the second term. Combining like terms results in 3b + 14.

Distribute to obtain 8c + 12 from the first term and 2c + 10 from the second term. Subtracting the second from the first gives 6c + 2.

Adding the coefficients of d (3 + 4 + 1) results in 8d, and combining the constants 2 and -5 gives -3. Thus, the expression simplifies to 8d - 3.

Expanding yields 6x + 8, -6x + 15, and 4x + 28. When these are combined, the x terms simplify to 4x and the constants sum to 51.

First, distribute to obtain 12y + 18 and 12y + 8, which sum to 24y + 26. Factoring out the common factor 2 gives 2(12y + 13).

Distributing gives -8x + 6, 6x + 15, and -x + 4. Combining these like terms results in -3x + 25.

First, simplify inside the brackets: 2(x + 3) becomes 2x + 6, and subtracting 4 gives 2x + 2. Multiplying by 5 and subtracting the distributed form of 3(x - 2) results in 7x + 16.

Distribute 3 across (2a - 4) to get 6a - 12, and simplify the bracketed term to get 16 - 2a. Combining these yields 4a + 4.