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Quizzes > High School Quizzes > Mathematics

NC Math 1 EOC Practice Quiz

Ace NC Math challenges with engaging practice tests

Difficulty: Moderate
Grade: Grade 10.
Study OutcomesCheat Sheet
Paper art depicting trivia for NC Math EOC Challenge quiz for high school students.

Solve the equation 2x - 5 = 9.
7
9
5
-7
Adding 5 to both sides gives 2x = 14, and dividing by 2 results in x = 7. This is the unique solution to the equation.
Simplify the expression 4 + 3 * 2.
10
14
8
6
Following the order of operations, multiply 3 by 2 to get 6 and then add 4 to obtain 10. This is the correct evaluation of the expression.
Solve for x: x/3 = 4.
12
3
7
1/4
Multiplying both sides of the equation by 3 yields x = 12. This straightforward step confirms the correct solution.
Factor the quadratic expression x² - 8x + 16.
(x - 4)²
(x - 8)(x + 2)
(x - 2)(x - 8)
(x + 4)²
The expression x² - 8x + 16 factors neatly as (x - 4)² because expanding (x - 4)² returns the original quadratic. This confirms the factorization.
Identify the slope and y-intercept of the line given by y = 2x + 3.
Slope: 2, y-intercept: 3
Slope: 3, y-intercept: 2
Slope: -2, y-intercept: 3
Slope: 2, y-intercept: -3
In slope-intercept form (y = mx + b), the coefficient of x represents the slope and the constant term represents the y-intercept. Therefore, the slope is 2 and the y-intercept is 3.
Solve the equation 3x + 2 = 2x + 7.
5
3
7
9
Subtracting 2x from both sides results in x + 2 = 7, and then subtracting 2 gives x = 5. This is the correct and unique solution.
Find the solutions for x in the quadratic equation x² - 5x + 6 = 0.
2 and 3
1 and 6
-2 and -3
3 and 4
Factoring the quadratic as (x - 2)(x - 3) = 0 reveals the solutions x = 2 and x = 3. These are the only numbers that satisfy the equation.
What is the slope of the line represented by the equation 3y - 6x = 9?
2
3
-2
6
Rearranging the equation to slope-intercept form gives y = 2x + 3, so the slope of the line is 2. This transformation confirms the correct slope.
Simplify the expression 2³ * 2².
32
16
10
20
When multiplying powers with the same base, add the exponents: 2^(3+2) = 2❵, which equals 32. This confirms the correct simplification.
Simplify the expression 3x + 5 - 2x + 8.
x + 13
x + 3
5x + 13
x + 5
Combining like terms, the x terms simplify to x and the constant terms add up to 13, resulting in the expression x + 13. This is the most simplified form.
When two parallel lines are intersected by a transversal, what is true about the corresponding angles?
They are equal
They are complementary
They are supplementary
They are always different
The corresponding angles postulate states that corresponding angles formed when a transversal cuts parallel lines are congruent. This means they have equal measures.
Factor the quadratic expression x² + 5x + 6.
(x + 2)(x + 3)
(x + 1)(x + 6)
(x - 2)(x - 3)
(x + 3)²
The expression factors as (x + 2)(x + 3) because multiplying these binomials results in x² + 5x + 6. This is the correct factorization.
Solve for x: (3/4) = x/12.
9
8
12
10
Cross-multiplying gives 3 × 12 = 4x, so 36 = 4x and dividing by 4 results in x = 9. This is the correct solution.
What is 20% of 150?
30
20
35
25
Calculating 20% of 150 means multiplying 150 by 0.20, which equals 30. This straightforward multiplication confirms the answer.
A fair six-sided die is rolled. What is the probability of rolling a number greater than 4?
1/3
1/2
2/3
1/6
Only the numbers 5 and 6 are greater than 4, giving 2 favorable outcomes out of 6 possible outcomes. This simplifies to a probability of 1/3.
Solve the system of equations: 2x + y = 7 and x - y = 1.
x = 8/3, y = 5/3
x = 3, y = 1
x = 2, y = 3
x = 4, y = -1
By expressing y from the second equation as y = x - 1 and substituting into the first, you get 2x + (x - 1) = 7, which simplifies to 3x = 8, so x = 8/3 and y = 5/3. This is the unique solution to the system.
Determine the values of k for which the quadratic equation x² + kx + 9 = 0 has exactly one real solution.
6 and -6
6
-6
0
A quadratic has a repeated real solution when its discriminant is zero. Setting k² - 4(1)(9) = 0 leads to k² = 36, so k = 6 or k = -6.
Solve the equation √(2x + 3) = x - 1.
2 + √6
2 - √6
√6 - 2
2√6
Squaring both sides of the equation leads to a quadratic equation with two potential solutions. After checking for extraneous solutions, only x = 2 + √6 satisfies the original equation.
Solve the equation (x - 3)² = 16.
x = -1 and 7
x = 7
x = -1
x = 3
Taking the square root of both sides gives x - 3 = ±4, so x equals 3 + 4 or 3 - 4, resulting in x = 7 and x = -1. Both solutions satisfy the equation.
A rectangle's length is twice its width. If its perimeter is 36, what is its area?
72
36
54
48
Let the width be w; then the length is 2w. The perimeter is given by 2(w + 2w) = 6w = 36, so w = 6 and the length is 12. Multiplying length by width gives the area 72.
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Study Outcomes

  1. Understand and apply core algebraic principles to solve equations and expressions.
  2. Analyze geometric properties and relationships to address spatial problems.
  3. Interpret data and utilize proportional reasoning in word problems.
  4. Evaluate mathematical strategies to enhance problem-solving accuracy.
  5. Identify key areas for improvement to build exam readiness for state tests.

NC Math 1 & 3 EOC Practice Test Cheat Sheet

  1. Slope-Intercept Form - This is the golden ticket to graphing straight lines with ease. By understanding that m is the slope and b is the y‑intercept, you can instantly predict a line's direction and starting point. Plotting and comparing multiple lines becomes a breeze when you've memorized y = mx + b inside‑out. Algebra 1 EOC Formulas Flashcards
  2. Quadratic Formula - When factoring just won't cut it, this powerful tool swoops in to save the day. Simply plug in your values for a, b and c into x = (−b ± √(b² − 4ac))❄(2a), and watch the magic happen as you uncover up to two solutions at once. It's your go‑to method for taming tricky quadratic equations! Algebra 1 EOC Formulas Flashcards
  3. Distance Formula - Measuring the gap between two points in the coordinate plane is as simple as plugging into d = √[(x₂ − x₝)² + (y₂ − y₝)²]. Think of it as Pythagoras going on a coordinate adventure - no right triangle drawn, no problem! Perfect for geometry challenges and physics puzzles alike. Algebra 1 EOC Formulas Flashcards
  4. Midpoint Formula - Need the exact halfway spot between two coordinates? Use ((x₝ + x₂)❄2, (y₝ + y₂)❄2) to find the midpoint in one swift calculation. Whether you're bisecting a segment or checking for symmetry, this formula's got your back. Algebra 1 EOC Formulas Flashcards
  5. Pythagorean Theorem - The classic relation a² + b² = c² powers countless right‑triangle problems. Use it to compute missing side lengths or verify that a triangle is right‑angled. From construction sites to coding algorithms, this theorem is everywhere! Algebra 1 EOC Formulas Flashcards
  6. Systems of Equations - Whether you choose substitution or elimination, solving systems unlocks the exact intersection point of two lines. It's like cracking a two‑piece puzzle where each method offers its own satisfying approach. Master this, and you'll handle real‑world scenarios with multiple constraints like a pro. Mr. Lowe's NC Math 1 Resources
  7. Function Notation - Treat f(x) as your mathematical vending machine: insert x, and out pops your output. This notation clarifies which function you're using and keeps transformations tidy. It's a staple for exploring composites, inverses, and all the cool function families. Mr. Lowe's NC Math 1 Resources
  8. Arithmetic Sequences - These sequences move by a constant difference each time, like climbing a staircase with uniform steps. Identifying the common difference helps you find any term instantly without listing them all. Perfect for tackling series sums and pattern‑spotting challenges. Mr. Lowe's NC Math 1 Resources
  9. Exponential Functions - Model growth and decay with y = a · bˣ, where b dictates your rate. From bacteria populations to interest calculations, tiny changes in x can spark massive shifts in y. Exploring these curves is a gateway to biology, finance, and beyond! Mr. Lowe's NC Math 1 Resources
  10. Linear Regression - Fit a straight line to scattered data points and make predictions like a mini fortune‑teller. The least squares method finds the "best fit" by minimizing the sum of squared errors, giving you a reliable trend line. A must‑have tool for stats, economics, and data‑driven insights. Mr. Lowe's NC Math 1 Resources
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