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Quizzes > High School Quizzes > English Language Arts

End-of-Year Assessment Quiz: Topics 1-8

Master exam topics with guided practice answers

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Paper art illustrating a trivia quiz for high school math students to assess their mastery of Topics 1-8.

Easy
Evaluate 3 + 6 Ã - 2.
15
18
21
12
By following the order of operations, multiplication is done before addition: 6 Ã - 2 equals 12, and then adding 3 gives 15. This question emphasizes the importance of executing operations in the correct sequence.
Simplify the fraction 18/24.
7/8
2/3
3/4
4/5
Dividing both the numerator and denominator by their greatest common factor (6) simplifies 18/24 to 3/4. This problem reinforces the method of reducing fractions to their simplest form.
Solve for x: x + 5 = 12.
5
17
7
12
Subtracting 5 from both sides of the equation results in x = 7. This exercise helps to strengthen basic algebraic manipulation skills.
Evaluate the expression: 4 Ã - (2 + 3).
18
20
14
25
First compute the operation inside the parentheses (2 + 3 = 5) and then multiply by 4 to obtain 20. This problem reinforces the proper use of the order of operations.
Which fraction is equivalent to the decimal 0.25?
2/5
2/3
1/4
1/2
The decimal 0.25 is equal to 1 divided by 4, which converts to the fraction 1/4. This conversion is important for understanding relationships between decimals and fractions.
Medium
Solve for x: 2x - 3 = 7.
5
7
10
2
By adding 3 to both sides, the equation becomes 2x = 10, and dividing by 2 yields x = 5. This is a straightforward example of solving a linear equation.
Calculate 15% of 200.
25
15
20
30
Multiplying 200 by 0.15 results in 30, which is 15% of 200. This problem practices converting percentages to decimals and performing multiplication.
Find the slope of the line passing through the points (2, 3) and (4, 7).
4
3
1/2
2
Using the slope formula (change in y over change in x), the slope is calculated as (7 - 3) / (4 - 2), which simplifies to 4/2 = 2. This reinforces the concept of slope in coordinate geometry.
What is the area of a rectangle with length 12 cm and width 5 cm?
35 cm²
60 cm²
17 cm²
120 cm²
The area is found by multiplying the length and width: 12 cm à - 5 cm = 60 cm². This problem applies a fundamental formula from geometry.
If a rectangle has a perimeter of 24 cm and one side is 7 cm, what is the length of the adjacent side?
12 cm
5 cm
10 cm
7 cm
Using the formula for the perimeter of a rectangle (2 Ã - (length + width) = 24), setting one side as 7 cm leads to the adjacent side being 5 cm. This problem links geometric formulas with algebraic reasoning.
Simplify the expression: 3(2x + 4) - 2x.
6x + 4
2x + 12
4x + 12
3x + 4
Distributing 3 gives 6x + 12, and subtracting 2x results in 4x + 12. This problem tests understanding of the distributive property and combining like terms.
Solve for y: (2/3)y = 8.
10
16
14
12
Multiplying both sides by 3/2 isolates y and gives y = 8 Ã - (3/2), which simplifies to 12. This reinforces solving equations involving fractions.
Factor the expression 6x + 9.
2(3x + 4.5)
3(3x + 2)
6(x + 1.5)
3(2x + 3)
The greatest common factor of 6x and 9 is 3, and factoring it out results in 3(2x + 3). This question strengthens the skill of factoring common terms.
What is the median of the set {3, 7, 9, 10, 15}?
9
15
10
7
When the numbers are arranged in order, the middle value is 9. Recognizing the median is vital for understanding statistical measures of central tendency.
If the probability of an event occurring is 0.2, what is the probability that it will not occur?
0.8
0.2
0.5
1
Since the total probability of all outcomes is 1, the probability of the event not occurring is 1 - 0.2, which equals 0.8. This question illustrates the concept of complementary probability.
Hard
Solve the system of equations: x + y = 10 and 2x - y = 3.
x = 3, y = 7
x = 4, y = 6
x = 13/3, y = 17/3
x = 5, y = 5
By substituting y = 10 - x into the second equation, we obtain 2x - (10 - x) = 3, which simplifies to 3x = 13, so x = 13/3 and y = 17/3. This problem challenges students to apply techniques for solving simultaneous equations.
A triangle has interior angles in the ratio 2:3:4. What is the measure of the largest angle?
60°
90°
100°
80°
The ratios add up to 9 parts, and dividing the total 180° by 9 gives 20° per part. Multiplying 20° by 4 (the largest ratio part) results in 80°. This problem links ratio concepts with geometric angle sums.
What are the solutions to the quadratic equation x² - 5x + 6 = 0?
x = 3 only
x = 2 and x = 3
x = 1 and x = 6
x = -2 and x = -3
Factoring the quadratic as (x - 2)(x - 3) = 0 gives the solutions x = 2 or x = 3. This problem tests students' ability to factor and solve quadratic equations.
If f(x) = 2x² - x + 1, what is the value of f(3)?
16
20
14
18
Substituting 3 into the function yields f(3) = 2(9) - 3 + 1, which simplifies to 18 - 3 + 1 = 16. This reinforces the evaluation of quadratic functions.
Solve the inequality: 3x - 5 > 10.
x > 5
x < 5
x ≤ 5
x ≥ 5
Adding 5 to both sides gives 3x > 15, and then dividing both sides by 3 results in x > 5. This problem emphasizes proper techniques for solving linear inequalities.
0
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Study Outcomes

  1. Analyze algebraic expressions and solve equations confidently.
  2. Apply geometric principles to determine properties of shapes and volumes.
  3. Interpret and graph functions to understand their real-world applications.
  4. Synthesize concepts from multiple topics to solve integrated mathematical problems.
  5. Evaluate problem-solving strategies to identify strengths and areas for improvement.
  6. Utilize mathematical reasoning to approach and solve assessment challenges effectively.

End-of-Year Assessment Answers: Topics 1-8 Cheat Sheet

  1. Integer Exponents - Mastering integer exponents turns scary expressions into simple puzzles. Remember: when you multiply like bases, you add the exponents; when you divide, you subtract them. This trick helps you breeze through complex problems in seconds! Study exponents
    2. onlinemathlearning.com
  2. Solving Linear Equations - Crack one-variable equations by wielding the distributive property and combining like terms like a math wizard. Whether coefficients are whole or rational, your toolbox has all the steps you need to isolate the variable. With practice, you'll solve for x in no time! Linear equation guide
    3. onlinemathlearning.com
  3. Functions as Rules - Think of functions as magical machines: each input gives exactly one output. Learn to plug values in, evaluate results, and compare how different "machines" behave. Soon you'll spot patterns and predict outputs like a function pro! Explore functions
    4. mathsisfun.com
  4. Pythagorean Theorem - a² + b² = c² unlocks every right triangle mystery. Use it to find missing sides or tackle real‑world challenges like measuring heights and distances. It's a classic formula that's as practical as it is powerful! Learn the theorem
    5. onlinemathlearning.com
  5. Geometric Transformations - Dive into rotations, reflections, translations, and dilations to see shapes come to life. These moves reveal congruence and similarity secrets, helping you prove why figures match or stretch. Get ready to flip, slide, turn, and scale! Transform shapes
    6. mathsisfun.com
  6. Scatter Plot Analysis - Scatter plots let you spot trends, clusters, and outliers in data at a glance. Learn to describe whether relationships are linear or curved, positive or negative. Soon you'll interpret real data like a budding statistician! Analyze plots
    7. onlinemathlearning.com
  7. Radicals and Roots - Dig into square and cube roots, and discover why non‑perfect squares are irrational. Simplify radicals, rationalize denominators, and wield these roots in equations. Radical mastery adds a whole new dimension to your math skills! Work with radicals
    8. onlinemathlearning.com
  8. Volume of Solids - From cylinders to cones and spheres, each 3D shape has its own volume formula. Plug in radii and heights to solve puzzles about tanks, ice cream cones, or planet sizes. Measuring space becomes a hands‑on adventure! Volume formulas
    9. onlinemathlearning.com
  9. Slope and Rate of Change - Slope tells the story of how one variable changes with another. Learn to calculate rise over run, graph lines, and interpret steepness or flatness in real contexts. You'll see linear relationships everywhere! Understand slope
    10. onlinemathlearning.com
  10. Systems of Equations - Solve pairs of linear equations by graphing, substitution, or elimination to find their intersection point. This skill helps in problems from business to physics. Challenge yourself with different methods and pick your favorite strategy! Systems solver
    11. onlinemathlearning.com
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