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Quizzes > High School Quizzes > Mathematics

EOC Prep Practice Test

Prepare for success with targeted practice questions

Difficulty: Moderate
Grade: Grade 10.
Study OutcomesCheat Sheet
Colorful paper art promoting Ace the EOC Quiz, an interactive math practice exam for grades 9-12.

Solve for x: 2x = 10.
x = 5
x = 10
x = 2
x = 8
Divide both sides of the equation by 2 to isolate x. This yields x = 5, which is the correct answer.
What is the value of 4 + 3 * 2?
10
14
12
8
Following the order of operations, multiplication is performed before addition. Thus, 3 * 2 equals 6, and adding 4 gives 10.
What is the value of (8 - 3) * 2?
10
11
13
16
First, perform the subtraction inside the parentheses: 8 - 3 equals 5. Multiplying 5 by 2 yields 10.
What is the slope of the line passing through the points (1, 1) and (2, 3)?
2
1
3
4
The slope is calculated by the formula (y2 - y1) / (x2 - x1). For these points, the calculation yields (3 - 1) / (2 - 1) = 2.
What is the simplest form of the fraction 8/12?
2/3
4/6
8/12
3/4
Divide both the numerator and the denominator by their greatest common divisor, 4. The fraction simplifies to 2/3, which is in its simplest form.
Solve for x: 3x - 4 = 11.
x = 5
x = 7
x = 15
x = 3
Add 4 to both sides to obtain 3x = 15, then divide by 3 to isolate x. The correct solution is x = 5.
Which of the following is the factorization of x² - 9?
(x - 3)(x + 3)
(x - 9)(x + 1)
(x - 1)(x + 9)
(x - 3)²
x² - 9 is a difference of squares and can be factored into (x - 3)(x + 3). Recognizing this pattern is fundamental in algebra.
Solve the equation: 2(x - 3) = 4x + 6.
x = -6
x = 6
x = -3
x = 3
Distribute 2 to get 2x - 6, then shift terms to isolate x. After solving, you find that x = -6.
What is the value of the expression 2³ + 3²?
17
15
10
19
Calculate the powers to find 2³ = 8 and 3² = 9; their sum is 8 + 9 = 17. This is the correct evaluation.
Solve for x: x/3 = 4.
12
4
7
3
Multiply both sides of the equation by 3 to isolate x. This gives x = 12, which is the correct answer.
If f(x) = 2x + 1, what is f(4)?
9
8
7
10
Substitute x = 4 into the function f(x) = 2x + 1 to get f(4) = 2 * 4 + 1, which equals 9. This illustrates basic function evaluation.
Find the median of the set: {3, 7, 9, 15, 18}.
9
7
15
18
Since the set is already ordered, the median, or the middle value, is 9. This is the correct answer for the median.
What is the area of a triangle with a base of 10 and a height of 5?
25
50
15
30
The area of a triangle is calculated using the formula 1/2 * base * height. Substituting the given values results in an area of 25.
What is the solution set for 2x + 5 > 13?
x > 4
x < 4
x ≥ 4
x ≤ 4
Subtract 5 from both sides to obtain 2x > 8, then divide by 2 to get x > 4. This is the correct representation of all values greater than 4.
Determine the slope of the line represented by the equation 2y = 4x + 6.
2
4
3
1/2
Divide the entire equation by 2 to convert it to slope-intercept form: y = 2x + 3. The coefficient of x, which is 2, represents the slope.
Solve for x: (x² - 16)/(x - 4) = 5, where x ≠ 4.
x = 1
x = 5
x = -1
x = 0
Factor the numerator as (x - 4)(x + 4) and cancel the common term (x - 4), simplifying the expression to x + 4 = 5. Solving for x gives x = 1, while keeping in mind the restriction x ≠ 4.
Find the value of x that satisfies the equation: 3^(2x) = 81.
2
4
3
8
Express 81 as 3^4 so that the equation becomes 3^(2x) = 3^4. Equate the exponents to obtain 2x = 4, yielding x = 2.
Given f(x) = x² - 4x + 3, for which value of x does the function attain its minimum?
2
1
3
4
For a quadratic function with a positive coefficient, the minimum value occurs at the vertex. The x-coordinate of the vertex is found using -b/(2a), which yields x = 2.
Solve the system of equations: 2x + y = 7 and x - y = 1.
(8/3, 5/3)
(5/3, 8/3)
(3, 2)
(2, 3)
Express x from the second equation as x = y + 1, then substitute into the first equation. Solving the resulting equation gives x = 8/3 and y = 5/3.
A rectangle has a perimeter of 36 and its length is twice its width. What are the dimensions of the rectangle?
Length = 12, Width = 6
Length = 18, Width = 6
Length = 12, Width = 12
Length = 9, Width = 3
Let the width be w and the length be 2w. Using the perimeter formula: 2(2w + w) = 36 simplifies to 6w = 36, so w = 6 and length = 12.
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Study Outcomes

  1. Analyze exam-style math problems to identify key concepts.
  2. Evaluate personal understanding and pinpoint areas for improvement.
  3. Apply mathematical formulas and strategies to solve complex problems.
  4. Synthesize learned methods to boost exam confidence and performance.

EOC Prep Test Practice Cheat Sheet

  1. Master Quadratic Equations - Tackle quadratics with ease by factoring, completing the square, or using the quadratic formula. For example, solve x² − 5x + 6 = 0 by rewriting it as (x − 2)(x − 3) = 0 to find x = 2 or 3. Practice these strategies until they become second nature! Genie Academy: Quadratic Equations Guide
  2. Understand Functions and Their Graphs - Explore linear, quadratic, and exponential functions, then sketch their shapes to see how they behave. Identify key features like intercepts, slopes, vertices, and asymptotes to interpret real‑world data. These insights will make graphing both fun and practical! Story of Mathematics: Functions & Graphs
  3. Work with Polynomials - Gain confidence in adding, subtracting, multiplying, and dividing polynomials. For instance, multiply (x + 2)(x − 3) to get x² − x − 6, then check your result by expanding or factoring back. Strong polynomial skills lay the groundwork for advanced algebra! Genie Academy: Polynomial Practice
  4. Delve into Trigonometry - Master sine, cosine, and tangent ratios to solve right triangles like a pro - just remember SOH‑CAH‑TOA! Apply these ratios to find missing sides and angles in geometry or real‑life scenarios. Trig tricks are essential tools for engineers and scientists! The Math Guru: Trigonometry Basics
  5. Explore Systems of Equations - Learn substitution, elimination, and graphing methods to solve pairs or sets of equations simultaneously. For example, tackle 2x + 3y = 10 and 4x − y = 5 by eliminating one variable to find neat integer solutions. These techniques sharpen logical thinking! Story of Mathematics: Systems of Equations
  6. Grasp Exponents and Logarithms - Internalize the laws of exponents and see how logarithms undo exponential growth. Since 2³ = 8, it follows log₂(8) = 3 - perfect for solving real‑world exponential problems. This duality unlocks everything from compound interest to sound intensity! CLRN: Exponents & Logarithms
  7. Study Probability and Statistics - Calculate probabilities, analyze data sets, and summarize information using mean, median, mode, and standard deviation. These measures help you draw meaningful conclusions and make informed predictions. Turn raw numbers into powerful insights! Genie Academy: Probability & Statistics
  8. Understand Sequences and Series - Spot patterns in arithmetic and geometric sequences, then use formulas to find any term or sum. For example, Sₙ = n/2 × (a₝ + aₙ) gives the sum of an arithmetic series in a snap. Sequence savvy means faster problem‑solving! House of Math: Sequences & Series
  9. Explore Geometry and Measurement - Dive into shapes, angles, surface areas, and volumes of 3D figures. Calculate the volume of a cylinder or the surface area of a pyramid to boost your spatial reasoning. Geometry skills help you design, build, and innovate! CLRN: Geometry & Measurement
  10. Learn about Matrices - Discover matrix addition, multiplication, and determinants to solve complex systems in one neat framework. Use matrices to transform coordinates, model data, or encrypt messages. Matrix mastery is a gateway to computer graphics and advanced math! CCSS Math Answers: Matrices 101
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