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Quizzes > High School Quizzes > Technology

Topic 4 Assessment Form A Practice Quiz

Master exam topics with guided practice

Difficulty: Moderate
Grade: Grade 8
Study OutcomesCheat Sheet
Paper art depicting trivia quiz Topic 4 Form A Focus for high school students.

What is the result of 3 + 5 x 2?
13
16
10
8
The expression is evaluated using the order of operations: multiplication before addition. Calculating 5 x 2 gives 10, and then adding 3 results in 13.
Simplify: 2(3 + 4).
14
10
12
16
First, evaluate the expression inside the parentheses (3 + 4 = 7), then multiply by 2 to get 14. This demonstrates the proper use of the distributive property.
What is the value of x if x + 3 = 7?
4
3
7
10
Subtracting 3 from both sides of the equation x + 3 = 7 gives x = 4. This is a basic example of solving a simple linear equation.
Which number is a prime number?
11
15
9
12
A prime number has only two distinct positive divisors: 1 and itself. The number 11 meets this criterion, while the other options are composite.
What is 10% of 50?
5
10
50
0.5
To calculate 10% of 50, multiply 50 by 0.10, which equals 5. This basic percentage calculation is a key skill in many math problems.
Solve for x: 2x - 5 = 9.
7
2
9
5
Adding 5 to both sides of the equation gives 2x = 14, and dividing by 2 yields x = 7. This illustrates the process of isolating the variable in a linear equation.
Evaluate the expression: (4^2 - 3^2) / (4 + 3).
1
7
0
16
Recognizing the numerator as a difference of squares, (4^2 - 3^2) can be factored into (4 - 3)(4 + 3), which simplifies to 1 x 7. Dividing by (4 + 3) or 7 results in 1.
What is the slope of the line given by the equation 2y = 6x + 4?
3
2
6
4
Dividing the equation by 2 rewrites it in slope-intercept form as y = 3x + 2, making the slope 3. This requires understanding how to rearrange an equation to identify the slope.
Factor the quadratic expression: x^2 - 9.
(x - 3)(x + 3)
x(x - 9)
(x - 1)(x + 9)
(x + 3)^2
The expression x^2 - 9 is a difference of squares and factors into (x - 3)(x + 3). Recognizing this pattern is key in factoring quadratic expressions.
Solve for x: 3(x - 2) = 2x + 1.
7
5
2
3
Expanding the left side gives 3x - 6, and setting the equation 3x - 6 = 2x + 1 and solving for x leads to x = 7. This problem tests the distributive property and balancing equations.
If the ratio of cats to dogs is 3:4 and there are 12 cats, how many dogs are there?
16
12
14
10
The ratio 3:4 means that for every 3 cats, there are 4 dogs. With 12 cats, the factor is 12/3 = 4, so multiplying 4 by 4 yields 16 dogs.
Which of the following represents the distributive property applied to the expression 5(a + b)?
5a + 5b
a + b5
5a + b
a5 + b5
The distributive property states that multiplying a sum by a number means multiplying each addend separately and then adding the results. Hence, 5(a + b) correctly expands to 5a + 5b.
Simplify the algebraic expression: 2x + 3x - 4.
5x - 4
2x - 4
5x
x + 4
Combine like terms by adding 2x and 3x to get 5x, then subtract the constant 4 to obtain 5x - 4. This demonstrates the process of simplifying algebraic expressions.
What is the value of the expression: 1/2 * 8?
4
8
2
16
Multiplying 8 by 1/2 results in 4. This question reinforces the concept of multiplying fractions by whole numbers.
Solve for y in the equation 4y + 8 = 0.
-2
2
0
-8
Subtracting 8 from both sides gives 4y = -8, and dividing by 4 yields y = -2. This is a straightforward linear equation solving exercise.
Solve the system of equations: 2x + y = 7 and x - y = 1.
x = 8/3, y = 5/3
x = 2, y = 3
x = 3, y = 4
x = 4, y = 3
Solve the second equation for y (y = x - 1) and substitute into the first to obtain 2x + (x - 1) = 7; solving this equation yields x = 8/3 and subsequently y = 5/3. This process exemplifies methods for solving systems of linear equations.
If f(x) = 2x^2 - 3x + 1, what is f(2)?
3
5
9
7
Substitute x = 2 into the function: f(2) = 2(2^2) - 3(2) + 1, which simplifies to 8 - 6 + 1 = 3. This tests the ability to evaluate quadratic functions.
Solve the quadratic equation: x^2 - 5x + 6 = 0.
x = 2 and x = 3
x = -2 and x = -3
x = 1 and x = 6
x = 5
The quadratic factors as (x - 2)(x - 3) = 0, yielding solutions x = 2 and x = 3 when each factor is set to zero. This is a standard approach to solving quadratic equations by factoring.
The lines 2y - 4x = 8 and y + 2x = 3 are given. What is their point of intersection?
(-1/4, 7/2)
(1/4, 7/2)
(-1/4, -7/2)
(1/4, -7/2)
Rearrange the second equation to express y in terms of x (y = 3 - 2x) and substitute into the first equation to solve for x and then y. The correct intersection point is (-1/4, 7/2), which demonstrates solving simultaneous equations with fractions.
A rectangle's length is 3 times its width. If the perimeter is 64, what are the dimensions of the rectangle?
Width = 8, Length = 24
Width = 16, Length = 48
Width = 10, Length = 30
Width = 6, Length = 18
Let the width be w; then the length is 3w. The perimeter is given by 2(w + 3w) = 8w = 64, so w = 8 and length = 24. This integrates geometric formulas with algebraic manipulation.
0
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Study Outcomes

  1. Understand key concepts outlined in the practice quiz.
  2. Analyze targeted questions to identify areas for improvement.
  3. Apply effective strategies for solidifying foundational knowledge.
  4. Evaluate personal performance based on quiz feedback.
  5. Synthesize information to build confidence for upcoming exams.

Topic 4 Assessment Form A Review Cheat Sheet

  1. Master the Laws of Exponents - Exponents can feel like secret codes, but once you learn the product, quotient, and power rules, you'll breeze through them in no time. Practice expanding and simplifying expressions until they feel like second nature! Cuemath Class 8 Formulas
  2. Understand Rational Numbers - Rational numbers pop up everywhere, from recipes to measurements, so get comfortable converting between fractions, decimals, and percentages. Knowing how to find additive and multiplicative inverses will make solving equations a snap. Cuemath Class 8 Formulas
  3. Grasp Algebraic Identities - Identities like (a + b)² and (a − b)² are your best friends when it comes to expanding and factoring quickly. Memorize the key formulas, then challenge yourself to spot patterns in complex expressions. BYJU'S Class 8 Formulas
  4. Calculate Areas and Perimeters - Shapes are everywhere, so it pays to know how to find their space and boundaries. From rectangles to triangles, mastering these formulas lets you tackle real-world design and construction problems with confidence. CAPS123 Grade 8 Geometry
  5. Explore Properties of Triangles - Triangles come in all flavors - equilateral, isosceles, and scalene - and each has its own angle and side secrets. Learn how their angle sums and special theorems play out in puzzles and proofs. CAPS123 Grade 8 Geometry
  6. Delve into Quadrilaterals - Squares, rectangles, parallelograms, and rhombuses all live in the quadrilateral family, but they each have unique side and angle tricks. Understanding symmetry and parallel sides will sharpen your geometry toolkit. CAPS123 Grade 8 Geometry
  7. Understand Direct and Inverse Proportions - Proportions help you scale recipes, budgets, and maps - direct when things grow together, inverse when one thing shrinks as the other grows. Practice setting up equations like y = kx and y = k/x to solve fun real-life puzzles. GeeksforGeeks Class 8 Maths
  8. Apply the Pythagorean Theorem - Right triangles hide a powerful secret: a² + b² = c². Use this to calculate missing sides, design ramps, or even check if a corner in your room is perfectly square. Math is Fun Grade 8 Links
  9. Learn about Transformations - Translations, rotations, reflections, and enlargements let you move and reshape figures on the coordinate plane. Visualizing these changes will help you ace graphing and design challenges. CAPS123 Grade 8 Geometry
  10. Explore Data Handling and Probability - Organizing data into charts, finding mean, median, and mode, and predicting outcomes with basic probability are key skills for science and social studies. Turn raw numbers into cool insights and forecasts! Cuemath Class 8 Formulas
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