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Quizzes > High School Quizzes > Electives

Practice Quiz: Unit 2 Lesson Review

Master lessons with our clear answer key

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Paper art for a fun Unit 2 math recap quiz for middle school students.

What is the value of 5 + 3 * 2?
11
16
13
10
According to order of operations, multiplication is performed before addition. Thus, 3 * 2 equals 6 and adding 5 gives 11.
Which fraction is equivalent to 1/2?
1/4
2/4
3/4
4/6
The fraction 2/4 simplifies directly to 1/2 while the other options do not yield the same value when simplified.
What is 10% of 50?
5
10
15
20
To find 10% of a number, multiply it by 0.10. Hence, 50 * 0.10 equals 5.
What is the perimeter of a rectangle with a length of 5 units and a width of 3 units?
16
15
17
18
The perimeter of a rectangle is calculated as 2 * (length + width). Substituting 5 and 3 gives 2 * (5 + 3) = 16.
An angle measuring 45° is classified as which type of angle?
Acute
Right
Obtuse
Straight
An acute angle is defined as one that measures less than 90°. Since 45° is less than 90°, it is classified as an acute angle.
Solve the equation: 2x - 5 = 9. What is the value of x?
7
6
8
5
Adding 5 to both sides gives 2x = 14, and dividing by 2 results in x = 7. This is the correct solution of the equation.
Evaluate: 3/4 + 1/8. Express your answer as a fraction.
7/8
5/8
1/2
8/12
Convert 3/4 to 6/8 so that the denominators match, then add 6/8 + 1/8 to obtain 7/8. This is the correct result.
Simplify the fraction 12/16.
3/4
2/3
1/2
4/5
Dividing both the numerator and the denominator by 4 simplifies 12/16 to 3/4. This is the simplest form of the fraction.
What is the area of a triangle with a base of 10 units and a height of 6 units?
30
60
15
50
The area of a triangle is calculated using the formula 1/2 * base * height. Substituting the given values yields an area of 30.
Express the decimal 0.75 as a fraction in simplest form.
3/4
1/2
2/3
4/5
The decimal 0.75 is equivalent to 75/100, which simplifies to 3/4 after dividing the numerator and denominator by 25.
Find the median of the data set: 3, 8, 2, 7, 5.
5
7
3
8
After arranging the numbers in order (2, 3, 5, 7, 8), the middle value, which is the median, is 5.
Solve for y if y/3 = 4.
12
7
4
9
Multiplying both sides of the equation by 3 gives y = 12. This directly solves the equation.
If 5 pencils cost $2, what is the cost for 15 pencils?
$6
$2
$4
$8
Since the cost of pencils is directly proportional to the number purchased, tripling the quantity from 5 to 15 will triple the cost from $2 to $6.
Solve the equation: 3(x - 2) = 18. What is the value of x?
8
6
10
9
Dividing both sides by 3 gives x - 2 = 6; adding 2 to both sides results in x = 8. This is the proper solution.
What is the slope of the line passing through the points (1, 2) and (3, 10)?
4
8
2
6
Using the slope formula, (y2 - y1)/(x2 - x1), we compute (10 - 2) / (3 - 1) = 8/2 = 4. Hence, the slope is 4.
A rectangle has a length that is three times its width, and its perimeter measures 64 units. What is the width of the rectangle?
8
16
10
12
Let the width be x; then the length is 3x. The perimeter is 2(x + 3x) = 8x, so 8x = 64, which gives x = 8. Thus, the width is 8 units.
Solve for x: (1/2)x + 2/3 = 5. What is the value of x?
26/3
26/6
24/3
16
Multiplying the entire equation by 6 (the least common denominator) gives 3x + 4 = 30, so 3x = 26 and x = 26/3. This is the correctly simplified result.
Using π ≈ 22/7, what is the area of a circle with a radius of 7 units?
154
143
147
140
The area of a circle is calculated using A = πr². Substituting r = 7 and π = 22/7 gives A = (22/7) * 49 = 154, which is the correct area.
Compute the expression: 2^3 * 3^2.
72
64
80
32
Evaluating the exponents yields 2^3 = 8 and 3^2 = 9. Multiplying these results together, 8 * 9 equals 72.
Two similar triangles have corresponding side lengths in the ratio 3:4. If the smaller triangle's area is 9 square units, what is the area of the larger triangle?
16
12
18
20
The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. Thus, the area scale factor is (4/3)² = 16/9, and multiplying 9 by 16/9 gives 16.
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Study Outcomes

  1. Recall essential mathematical concepts from the reviewed lessons.
  2. Analyze problem-solving approaches to efficiently tackle quiz questions.
  3. Apply learned strategies to accurately solve practice problems.
  4. Identify knowledge gaps and clarify misunderstandings through self-assessment.
  5. Enhance exam preparation by reviewing and reinforcing key mathematical principles.

Unit 2 Review: Lessons 6-9 Answer Key Cheat Sheet

  1. Understanding Ratios - A ratio compares two quantities, showing how many times one value contains or is contained within the other. You can express ratios as "a to b," "a:b," or "a/b," making them super flexible! For instance, if there are 3 apples and 2 oranges, the ratio of apples to oranges is 3:2. Intro to Ratios
  2. Visualizing Equivalent Ratios - Tables, double number lines, and tape diagrams turn abstract numbers into clear visuals. They help you spot patterns and quickly check if two ratios are equivalent. Try sketching a double number line next time you see a ratio problem! Equivalent Ratios Tools
  3. Grasping Proportional Relationships - When two quantities increase or decrease at the same constant rate, they form a proportional relationship. You can write this as y = kx, where k tells you how fast one changes compared to the other. It's like having a math speedometer! Proportional Relationships
  4. Mastering Unit Rates - A unit rate tells you the cost, speed, or amount per one unit - like dollars per item or miles per hour. It's how you compare deals or travel plans in a snap. Practice by finding the best price at your next snack run! Unit Rates Practice
  5. Graphing Proportions - Plotting a proportional relationship on the coordinate plane always gives you a straight line through the origin (0,0). Each point (x, y) follows the rule y = kx, so you get a neat, predictable pattern. Grab graph paper and watch the line form! Graphing Proportions
  6. Properties of Similar Triangles - Similar triangles have matching angles and their side lengths scale by the same factor. It's like resizing a shape without distorting its proportions. This concept is key for everything from art to architecture! Similar Triangles Prep
  7. Finding Missing Side Lengths - Use ratios of corresponding sides to calculate unknown lengths in similar triangles. Set up a proportion and solve for the missing value - no guesswork needed. Next time you see a scale model, you'll know exactly how big (or small) it is! Calculating Triangle Sides
  8. Applying the Pythagorean Theorem - For any right triangle, a² + b² = c² links the two legs (a and b) to the hypotenuse (c). It's your go‑to tool for finding that missing side. Think of it as the ultimate distance detector! Pythagorean Theorem Guide
  9. Exploring Rectangle Properties - Opposite sides of a rectangle are equal, and all four angles are right angles. Area is length × width, while perimeter is 2 × (length + width). Rectangles are everywhere - buildings, screens, even your notebook! Rectangle Properties
  10. Calculating Circle Measurements - Circumference (C = 2πr) wraps around the circle, while area (A = πr²) tells you how much space it covers. These formulas unlock tons of real‑world applications, from wheel design to pizza parties. Don't forget the pi! Circle Formulas
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