Practice Combining Like Terms with Negative Coefficients and Distribution

Practice Problems

Learning mathematics is all about practicing mathematics. Now that you have successfully combined like terms, let's practice using the distributive property and then combine like terms all in one problem. If you need help, use the review tools at the bottom of the page.

Simplify to create an equivalent expression.

$$2(-n-3)-7(5+2n)$$

Choose 1 answer:

$$-16n-37$$
$$-16n-41$$
$$16n-41$$
$$16n+41$$

Simplify to create an equivalent expression.

$$-3z-(-z-2)$$

Choose 1 answer:

$$-4z+2$$
$$-2z-2$$
$$-2z+2$$
$$4z+2$$

Simplify to create an equivalent expression.

$$-3(2+4k) + 7(2k-1)$$

Choose 1 answer:

$$2k-13$$
$$8k-13$$
$$2k+13$$
$$2k-7$$

Simplify to create an equivalent expression.

$$2-4(5p+1)$$

Choose 1 answer:

$$-20p-2$$
$$-5p-4$$
$$-20p+2$$
$$-5p+4$$

Source: Khan Academy, https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:foundation-algebra/x2f8bb11595b61c86:combine-like-terms/e/combining_like_terms_2
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