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Applied Algebra Exam Topics and Questions

Let's Practice Free WGU Applied Algebra Questions Aligned with Official Exam Topics

📄 Exam Contains: 5 Topics
Topic Content
Algebraic Expressions and Operations covers the fundamental skills needed to work with mathematical expressions containing variables and numbers. Students will learn to simplify expressions by applying the order of operations correctly and combining like terms to reduce expressions to their simplest form. The study of algebraic properties including the distributive property, associative property, and commutative property enables students to manipulate and rearrange expressions efficiently. Additionally, students will develop the ability to evaluate algebraic expressions by substituting given values for variables... See More
Sample Questions for Topic 1 : Algebraic Expressions and Operations
Q1 Evaluate the algebraic expression 2a² + 3b - 5 when a = 3 and b = 4
Topic Content
Linear Equations and Inequalities covers the fundamental skills needed to solve mathematical problems involving variables and relationships. Students will learn to solve single-variable linear equations using step-by-step algebraic methods, including combining like terms, isolating variables, and checking solutions. The topic also includes working with inequalities, understanding how to manipulate them while maintaining the direction of the inequality sign, and representing solutions visually on number lines. Additionally, students will develop the ability to translate real-world word problems into mathematical equations, identify... See More
Topic Content
Graphing and Functions covers the essential skills needed to work with mathematical relationships and their visual representations. Students will learn to understand and use function notation while developing the ability to evaluate functions for given input values. The study includes graphing linear equations on the coordinate plane, which requires understanding how to plot points and draw lines that represent mathematical relationships. A critical component involves interpreting slope and y-intercepts, not just as abstract mathematical concepts but as meaningful quantities in... See More
Topic Content
Systems of Equations encompasses the fundamental techniques for solving multiple equations simultaneously through substitution and elimination methods. Students will learn to find solutions by substituting variables from one equation into another, as well as by adding or subtracting equations to eliminate variables strategically. The interpretation of solutions extends beyond algebraic manipulation to include graphical representations, where students analyze intersection points of lines to understand the nature of solutions, whether unique, infinite, or non-existent. Real-world applications form a critical component of... See More
Topic Content
Exponents and Polynomials covers the fundamental skills needed to work with algebraic expressions involving powers and multi-term equations. Students will learn to apply exponent rules such as the product rule, quotient rule, and power rule to simplify complex expressions efficiently. The topic includes operations with polynomials, where learners will practice adding, subtracting, and multiplying polynomial expressions to combine like terms and expand products. Additionally, students will develop factoring skills to break down polynomial expressions into their component factors, including finding... See More

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