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Quizzes > High School Quizzes > Technology

Unit 4 Practice Test Study Guide

Engaging preparation for Unit 2 and 4 exams

Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Paper art promoting Ace Units 2 4 trivia quiz for high school math students.

What is 7 + 5?
13
10
12
11
Adding 7 and 5 gives 12. This is a basic addition problem to check fundamental arithmetic skills.
What is the value of 3 + 2 x 4?
20
14
11
9
According to the order of operations, multiplication comes before addition, so 2 x 4 equals 8 and then adding 3 gives 11. This reinforces the proper sequence of operations.
Which of the following is equivalent to one-half?
0.75
1.00
0.50
0.25
One-half expressed as a decimal is 0.50. This question checks the conversion between fractions and decimals.
Solve for x: x + 3 = 7.
5
4
3
7
Subtracting 3 from both sides of the equation gives x = 4. This problem tests simple linear equation solving skills.
What is the perimeter of a rectangle with a length of 5 units and a width of 3 units?
15
16
20
18
The perimeter of a rectangle is calculated as 2*(length + width), which equals 2*(5 + 3) = 16. This reinforces the basic geometry concept of calculating perimeter.
Evaluate the expression: 2*(8 - 3) + 4.
14
10
16
12
First subtract 3 from 8 to get 5, multiply by 2 to obtain 10, and then add 4 to get 14. This question highlights the importance of following the order of operations.
Solve for x: 3x - 5 = 10.
10
-5
3
5
Adding 5 to both sides gives 3x = 15, and dividing by 3 results in x = 5. This problem reinforces the process of isolating variables in an equation.
Which of the following numbers is prime?
25
21
17
15
A prime number has exactly two distinct positive divisors: 1 and itself. Among the options, 17 is the only number that meets this criterion.
Solve for y: (2y)/3 = 8.
12
10
16
14
Multiplying both sides by 3 yields 2y = 24. Dividing 24 by 2 gives y = 12, showing how to eliminate fractions in equations.
What is 25% of 80?
30
15
20
25
25% is equivalent to one-quarter, so one-quarter of 80 is 20. This question tests the conversion of percentages to their numerical value.
If a rectangle has an area of 24 square units and a length of 6 units, what is its width?
6
3
4
8
The area of a rectangle is calculated by multiplying its length by its width. Dividing the area 24 by the given length 6 determines the width to be 4.
Simplify the expression: 4a - 2b + 3a + b.
7a - b
4a + 2a - b
7a + b
a - 3b
Combining like terms, 4a and 3a add up to 7a, while -2b and b combine to -b. This exercise reinforces the concept of combining similar algebraic terms.
If x = 3, what is the value of the expression 2x^2 + 5?
17
23
35
29
Substituting x with 3, the expression becomes 2*(3^2) + 5, which simplifies to 2*9 + 5 = 18 + 5 = 23. This tests substitution and the proper use of exponents.
Which is the least common multiple (LCM) of 4 and 6?
12
8
24
6
The least common multiple is the smallest number that is a multiple of both given numbers. For 4 and 6, the multiples that first coincide is 12.
Convert the fraction 3/4 to a decimal.
0.50
0.75
0.60
0.80
Dividing 3 by 4 converts the fraction 3/4 into the decimal 0.75. This reinforces the skill of converting fractions to decimals.
Solve for x: 2(x - 3) = 4x + 6.
-6
-3
6
3
Expanding the left side gives 2x - 6, and setting the equation 2x - 6 = 4x + 6 leads to isolating x. Solving the resulting equation shows that x = -6.
If one angle in a triangle measures 50° and another measures 60°, what is the measure of the third angle?
100°
80°
70°
90°
The sum of the interior angles of a triangle is 180°. Subtracting the sum of the two given angles (50° and 60°) from 180° results in a third angle of 70°.
A car travels at 60 km/h for 1.5 hours. How far does the car travel?
90 km
60 km
105 km
75 km
Distance is calculated by multiplying the speed by the time. Here, 60 km/h multiplied by 1.5 hours equals 90 km, demonstrating the basic distance formula.
Solve the equation: 4(2x + 3) - 5x = 17.
5/3
17/3
7/3
3
Distributing 4 into (2x + 3) gives 8x + 12; subtracting 5x results in 3x + 12 = 17. Solving for x leads to x = 5/3, which is the correct solution.
Find the area of a triangle with a base of 10 units and a height of 5 units.
50
25
15
30
The area of a triangle is calculated using the formula ½ × base × height. Multiplying 10 by 5 gives 50, and half of 50 is 25 square units.
0
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Study Outcomes

  1. Understand key mathematical concepts covered in the quiz.
  2. Apply arithmetic and algebraic strategies to solve problems.
  3. Analyze numerical patterns and relationships within the given material.
  4. Evaluate problem-solving methods to identify areas for improvement.
  5. Synthesize learned concepts to confidently approach exam-style questions.

Unit 4 Test Study Guide Cheat Sheet

  1. Understand the Cartesian coordinate system - Dive into the two-dimensional world where every point has an address written as (x, y). You'll learn to plot and interpret positions on the grid, making geometry and graphing feel like a treasure map adventure. OpenStax Algebra & Trigonometry - Key Concepts
  2. Master linear equations - Sharpen your skills by isolating the variable x in equations of the form ax + b = c. Practice makes perfect, and soon you'll be solving problems faster than you can say "slope-intercept"! OpenStax Algebra & Trigonometry - Key Concepts
  3. Explore linear functions - Discover how a straight line can tell a story in words, tables, equations, or graphs. Understanding function notation helps you translate real-world scenarios into math that's easy to analyze. OpenStax Algebra & Trigonometry - Linear Functions
  4. Calculate slope - Use the formula (y₂ − y₝)/(x₂ − x₝) to find the steepness of any line. Think of it as the line's "rise over run" secret code for how fast it climbs or descends. OpenStax Algebra & Trigonometry - Linear Functions
  5. Graph linear functions - Start with the y-intercept, then use your slope to plot additional points - connect the dots and voilà, you've drawn the line! This visual tool is essential for interpreting trends in everything from economics to physics. OpenStax Algebra & Trigonometry - Linear Functions
  6. Solve systems of linear equations - Find the intersection of two lines by graphing, substitution, or elimination - whichever method suits your style. Practice these techniques to unlock solutions for real‑life problems like budgeting or mixing recipes. OpenStax Intermediate Algebra - Systems of Equations
  7. Understand inequalities - Learn to solve and graph statements like 2x + 3 < 7, and remember that multiplying or dividing by a negative flips the inequality sign. Inequalities are the foundation for optimization and decision-making scenarios. OpenStax Intermediate Algebra - Inequalities
  8. Work with absolute value equations - Tackle equations of the form |x − a| = b by splitting into two cases (positive and negative). This approach prepares you for advanced topics like distance formulas and piecewise functions. OpenStax Intermediate Algebra - Absolute Value
  9. Explore quadratic equations - Practice solving ax² + bx + c = 0 by factoring, completing the square, and using the quadratic formula. Quadratics pop up everywhere - from projectile motion to profit maximization - so mastering them is a game‑changer. OpenStax Algebra & Trigonometry - Quadratics
  10. Apply the Pythagorean Theorem - Use a² + b² = c² to find missing sides in right triangles and unlock many geometry puzzles. This classic formula is a must-know for trigonometry, physics, and even computer graphics. OpenStax Algebra & Trigonometry - Pythagorean Theorem
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