Math 1 EOC Review NC 2026 PDF –
Comprehensive End-of-Course Study
Guide
SECTION 1: ALGEBRA – EQUATIONS, INEQUALITIES &
EXPRESSIONS (Questions 1-25)
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
2. Solve for x: 2(4x − 3) − 8 = 4 + 2x
• ,,answer,,,: x = 3
3. What is the standard form of a linear equation?
• ,,answer,,,: Ax + By = C
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=")
5. What does "f(x)" mean in function notation?
• ,,answer,,,: Same as y – just plug the number into x and simplify
6. What should the ,,answer,,, to a system of equations look like?
, • ,,answer,,,: An ordered pair (intersection point)
7. What are three ways to solve a system of equations?
• ,,answer,,,: Graphing, Substitution, and Elimination
8. When using the elimination method, what is the goal?
• ,,answer,,,: Add or subtract the two equations so that one variable
"disappears"
9. How do you eliminate fractions in an equation?
• ,,answer,,,: Multiply the ENTIRE equation (every term) by the common
denominator
10. What is the rule for multiplying monomials with the same base?
• ,,answer,,,: Keep the base, add the exponents
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)
12. What is the rule for taking a power to a power?
• ,,answer,,,: Keep the base, multiply the exponents
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
14. How do you know if an equation represents a linear function?
• ,,answer,,,: Adding or subtracting by the same amount
Comprehensive End-of-Course Study
Guide
SECTION 1: ALGEBRA – EQUATIONS, INEQUALITIES &
EXPRESSIONS (Questions 1-25)
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
2. Solve for x: 2(4x − 3) − 8 = 4 + 2x
• ,,answer,,,: x = 3
3. What is the standard form of a linear equation?
• ,,answer,,,: Ax + By = C
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=")
5. What does "f(x)" mean in function notation?
• ,,answer,,,: Same as y – just plug the number into x and simplify
6. What should the ,,answer,,, to a system of equations look like?
, • ,,answer,,,: An ordered pair (intersection point)
7. What are three ways to solve a system of equations?
• ,,answer,,,: Graphing, Substitution, and Elimination
8. When using the elimination method, what is the goal?
• ,,answer,,,: Add or subtract the two equations so that one variable
"disappears"
9. How do you eliminate fractions in an equation?
• ,,answer,,,: Multiply the ENTIRE equation (every term) by the common
denominator
10. What is the rule for multiplying monomials with the same base?
• ,,answer,,,: Keep the base, add the exponents
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)
12. What is the rule for taking a power to a power?
• ,,answer,,,: Keep the base, multiply the exponents
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
14. How do you know if an equation represents a linear function?
• ,,answer,,,: Adding or subtracting by the same amount
