Ontario Mathematics Proficiency Practice Test

Question: 1 / 400

What is the result of simplifying the expression \( 5(2x + 3) - 4(x - 1) \)?

4x + 15

5x + 14

6x + 19

To simplify the expression \( 5(2x + 3) - 4(x - 1) \), you start by distributing the numbers outside the parentheses into the terms inside them.

First, distribute the 5:

\[

5(2x + 3) = 10x + 15

\]

Next, distribute the -4:

\[

-4(x - 1) = -4x + 4

\]

Now, combine these results:

\[

10x + 15 - 4x + 4

\]

Next, combine like terms. Start with the x terms:

\[

10x - 4x = 6x

\]

Now combine the constant terms:

\[

15 + 4 = 19

\]

Putting it all together, you have:

\[

6x + 19

\]

This shows that the simplified expression is \( 6x + 19 \), which indicates that the correct answer is indeed C. Understanding how to distribute and combine like terms is essential in simplifying algebraic expressions effectively.

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