Table of contents

0. Review of Algebra4h 16m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 19m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Algebraic Expressions

College Algebra

0. Review of Algebra

Algebraic Expressions

1:26 minutes

Problem 128

Textbook Question

Simplify each expression. (3/4r)(-12)

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Multiplication of Fractions

When multiplying fractions, you multiply the numerators together and the denominators together. In this case, the fraction 3/4 is multiplied by -12, which can be expressed as -12/1. Thus, the multiplication involves (3 * -12) / (4 * 1), simplifying the expression effectively.

Simplifying Expressions

Simplifying an expression involves reducing it to its simplest form. This can include combining like terms, reducing fractions, or performing arithmetic operations. In this problem, after multiplying, you would simplify the resulting fraction if possible, ensuring the expression is presented in its most concise form.

Negative Numbers in Multiplication

When multiplying a positive number by a negative number, the result is negative. This concept is crucial in this problem, as the multiplication of 3/4 by -12 will yield a negative result. Understanding how to handle negative signs is essential for accurately simplifying the expression.