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Quizzes > High School Quizzes > Electives

Unit 6 Practice Test Quiz

Strengthen skills with Unit 8 test tips

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Paper art illustrating a trivia quiz for Unit 6 and 8 Showdown practice review for high school students.

What is the simplest form of the fraction 8/12?
1/2
4/5
2/3
3/4
Both the numerator and denominator can be divided by 4, which simplifies 8/12 to 2/3. The other options do not represent the correctly simplified fraction.
Solve for x: 2x + 3 = 7.
3
4
2
1
Subtracting 3 from both sides gives 2x = 4, and dividing both sides by 2 yields x = 2. This is the only solution among the options provided.
What is the measure of a right angle in degrees?
90°
45°
60°
180°
By definition, a right angle measures 90°. The other choices represent angles that are either acute, straight, or otherwise not a right angle.
What is the area of a rectangle with a length of 5 and a width of 3?
10
18
8
15
The area of a rectangle is calculated by multiplying its length by its width, so 5 multiplied by 3 yields 15. The other options do not match this product.
What is the value of 5 squared?
20
25
30
15
Squaring a number means multiplying it by itself; therefore, 5 squared equals 25. No other option gives the correct result when 5 is squared.
Solve for x: 3(x - 4) = 9.
6
5
7
8
Distributing the 3 gives 3x - 12 = 9. Adding 12 to both sides results in 3x = 21, so dividing by 3 yields x = 7.
Evaluate the expression: 2^3 * 3^2.
96
108
54
72
Calculating 2^3 gives 8 and 3^2 gives 9; multiplying these results in 8 * 9 = 72. The other options do not match this computation.
What is the perimeter of a square with a side length of 6?
30
18
24
36
Since a square has four equal sides, the perimeter is 4 times the side length; 4 multiplied by 6 equals 24. The other choices do not correctly calculate the perimeter.
Find the slope of the line that passes through the points (2, 3) and (5, 11).
3/8
8/3
4
2
The slope is calculated by dividing the difference in the y-values by the difference in the x-values: (11-3)/(5-2) equals 8/3. This calculation confirms the correct answer.
For the equation y = 2x + 5, what is the value of y when x = -1?
3
5
7
-3
Substituting -1 for x gives y = 2(-1) + 5, which simplifies to -2 + 5 = 3. The other options do not correctly reflect this substitution.
Simplify the expression: 4(2x + 3) - 2x.
8x + 12
8x + 10
6x + 12
6x + 10
Expanding 4(2x + 3) results in 8x + 12; subtracting 2x from this expression gives 6x + 12. This is the only option that reflects the correct simplification.
What is the square root of 49?
8
9
7
6
The square root of 49 is 7, as 7 multiplied by itself equals 49. The other options are incorrect as they do not satisfy this multiplication.
Solve the inequality: x - 5 > 2.
x > 2
x > 5
x ≥ 7
x > 7
Adding 5 to both sides results in x > 7, which correctly represents the solution to the inequality. The other options either misstate the inequality or provide an incorrect boundary.
Express the fraction 3/4 as a percentage.
80%
75%
85%
70%
Converting 3/4 to a decimal gives 0.75, and multiplying by 100 yields 75%. This is the accurate percentage representation of the fraction.
What is the area of a triangle with a base of 8 and a height of 5?
16
20
40
10
The area of a triangle is found by calculating 1/2 times the base times the height: 1/2 * 8 * 5 equals 20. This formula confirms the correct answer.
Solve for x: 2(x + 3) = 3(x - 2) + 4.
6
8
4
10
Expanding both sides gives 2x + 6 = 3x - 6 + 4, which simplifies to 2x + 6 = 3x - 2. Subtracting 2x and then adding 2 to both sides yields x = 8, the correct solution.
A rectangle has a perimeter of 36 and its length is twice its width. What is its area?
72
48
54
60
Let the width be w and the length be 2w; the perimeter is 2(w + 2w) which equals 6w. Setting 6w = 36 results in w = 6 and the length being 12. Multiplying these dimensions gives an area of 72.
Solve for x: 0.5x + 2 = 3.5 - 0.2x.
7/15
3
2
15/7
Begin by adding 0.2x to both sides, which produces 0.7x + 2 = 3.5. Subtracting 2 from both sides gives 0.7x = 1.5, and dividing by 0.7 yields x = 15/7, the correct answer.
Find the equation of the line in slope-intercept form that passes through the points (1, 2) and (4, 8).
y = x + 1
y = x + 2
y = 2x
y = 2x + 1
Calculating the slope gives (8-2)/(4-1) = 6/3 = 2, and using the point-slope form with one of the points determines the y-intercept to be 0. This results in the equation y = 2x.
In a bag containing 3 red, 5 blue, and 2 green marbles, what is the probability of drawing a blue marble?
1/3
3/5
2/5
1/2
There are a total of 10 marbles (3 + 5 + 2), with 5 being blue. The probability is therefore 5 out of 10, which simplifies to 1/2. This is the correct probability of drawing a blue marble.
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Study Outcomes

  1. Analyze key concepts from Unit 6 and Unit 8 to understand their interconnections.
  2. Evaluate areas of mastery and identify topics needing further review.
  3. Apply rapid review techniques to enhance retention of foundational principles.
  4. Interpret quiz feedback to adjust study strategies for upcoming tests or exams.
  5. Synthesize information to confidently tackle various exam-style questions.

Unit 6 & Unit 8 Test Review Cheat Sheet

  1. Grasp the concept of a function - Think of a function as a magical vending machine: every input gets exactly one snack - err, output! This one-to-one rule is the backbone of mapping relationships in algebra. Function Basics
  2. Distinguish linear vs. nonlinear functions - Linear functions march along with a steady pace and draw perfect straight lines, while nonlinear ones like to curve, bend, or zigzag. Spotting the difference helps you choose the right model for real-world puzzles, from budgets to roller coasters! Linear & Nonlinear Guide
  3. Master the slope‑intercept form - In y = mx + b, m is your slope (rise over run) and b is the y‑intercept (where your line hits the y-axis). This snazzy formula makes graphing a breeze and helps you peek into how variables interact. Slope‑Intercept Cheat Sheet
  4. Explore the Pythagorean Theorem - a² + b² = c² is your secret code for right triangles, with c as the hypotenuse (the longest side). Use it to calculate distances, design ramps, or even solve treasure-hunt maps! Pythagorean Power
  5. Identify statistical questions - These are the ones that expect a range of answers, like "How many hours do students study?" instead of a single fact. Embracing variability sets you up for deeper data dives and real-world decision making. Statistical Question Starter
  6. Create and read dot plots & histograms - Dot plots and histograms turn numbers into pictures, revealing clusters, gaps, and peaks in your data. Mastering these visuals makes spotting trends feel like a superpower. Visual Data Tools
  7. Summarize with mean, median & mode - Mean is the average, median is the middle, and mode is the most popular number - together they paint a quick picture of your dataset's center. Use them to compare class test scores or your favorite snack counts! Central Tendency Guide
  8. Measure variability: range & IQR - Range tells you the gap between the highest and lowest values, while IQR zooms in on the middle 50%. These stats help you understand consistency - or the lack thereof - in any dataset. Data Spread Essentials
  9. Interpret box plots - Box‑and‑whisker plots pack medians, quartiles, and outliers into one compact chart. They're perfect for comparing groups - like snack preferences across different grades! Box Plot Breakdown
  10. Apply functions & stats to real life - Whether you're budgeting allowance, planning a road trip, or analyzing game scores, putting these concepts to work cements your skills. Real-world practice turns theory into triumph! Practical Math Applications
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