Math 1 EOC Review NC 2026 Comprehensive End-of-Course Study Guide Verified Exam-Style Questions with Answers & Explanations

Math 1 EOC Review NC 2026
Comprehensive End-of-Course Study Guide
Verified Exam-Style Questions with Answers
& Explanations

Question 1
What is the "Golden Rule" when solving inequalities?
Answer: If you multiply or divide both sides of an inequality by
a NEGATIVE number, you must flip the inequality sign.


Question 2
Solve for 𝑥:
2(4𝑥 − 3) − 8 = 4 + 2𝑥


Answer: 𝑥 = 3
Rationale: 8𝑥 − 6 − 8 = 4 + 2𝑥 → 8𝑥 − 14 = 4 + 2𝑥 → 6𝑥 = 18 → 𝑥 = 3


Question 3
What is the standard form of a linear equation?
Answer: 𝐴𝑥 + 𝐵𝑦 = 𝐶


Question 4
When solving a system of equations using substitution, what is the first step?
Answer: Substitute one equation into the other (works best when one equation
starts with "𝑦 =" or "𝑥 =").


Question 5

,What does "𝑓(𝑥)" mean in function notation?
Answer: Same as 𝑦 – just plug the number into 𝑥 and simplify.


Question 6
What should the answer to a system of equations look like?
Answer: An ordered pair (intersection point)


Question 7
What are three ways to solve a system of equations?
Answer: Graphing, Substitution, and Elimination


Question 8
When using the elimination method, what is the goal?
Answer: Add or subtract the two equations so that one variable "disappears"


Question 9
How do you eliminate fractions in an equation?
Answer: Multiply the ENTIRE equation (every term) by the common
denominator


Question 10
What is the rule for multiplying monomials with the same base?
Answer: Keep the base, add the exponents


Question 11
What is the rule for dividing monomials with the same base?
Answer: Keep the base, subtract the exponents (big – small, answer goes where
the bigger number is)

, Question 12
What is the rule for taking a power to a power?
Answer: Keep the base, multiply the exponents


Question 13
What is the rule for negative exponents?
Answer: Moves the term and changes the sign of the exponent – if it's in the top, it
goes to the bottom; if it's in the bottom, it goes to the top


Question 14
How do you know if an equation represents a linear function?
Answer: Adding or subtracting by the same amount (constant rate of change)


Question 15
Solve for 𝑥: 5𝑥 − 7 = 3𝑥 + 11
Answer: 𝑥 = 9
Rationale: 5𝑥 − 3𝑥 = 11 + 7 → 2𝑥 = 18 → 𝑥 = 9


Question 16
Solve the inequality: −3𝑥 + 5 > 14
Answer: 𝑥 < −3
Rationale: −3𝑥 > 9 → divide by -3 flips sign → 𝑥 < −3


Question 17
What is the slope-intercept form of a linear equation?
Answer: 𝑦 = 𝑚𝑥 + 𝑏