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Ace Your Unit 4 Practice Test Quiz

Review exam topics and boost your skills

Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Colorful paper art promoting Unit 4 Unlocked, a dynamic math practice quiz for high school students.

What is the result of 3 + 5 * 2?
16
13
10
8
According to the order of operations, multiplication is performed before addition. Multiplying 5 by 2 gives 10, and adding 3 results in 13.
Simplify the expression: 2(x + 3) when x = 4.
14
12
8
10
By substituting x = 4 into the expression, it becomes 2(4 + 3). Evaluating inside the parentheses gives 7, and multiplying by 2 produces 14.
What is the reciprocal of 5?
5
1/5
-1/5
5/1
The reciprocal of a number is defined as 1 divided by that number. Thus, the reciprocal of 5 is 1/5.
If a rectangle has a length of 8 and a width of 3, what is its area?
16
32
11
24
The area of a rectangle is found by multiplying its length by its width. Multiplying 8 by 3 gives an area of 24.
Solve for x: x - 5 = 10.
15
-5
10
5
To solve the equation, add 5 to both sides to isolate x. This results in x = 15.
Solve for x: 3x + 4 = 19.
7
6
3
5
Subtract 4 from both sides to obtain 3x = 15, then divide by 3 to isolate x, resulting in x = 5.
Which of the following expressions is equivalent to 2(x + 5) - 3x?
x + 10
-x - 10
2x + 2
-x + 10
Distribute 2 across (x + 5) to get 2x + 10, then subtract 3x. Combining like terms results in -x + 10.
What is the slope of the line that passes through the points (2, 3) and (6, 11)?
1/2
2
8
4
The slope is calculated by subtracting the y-coordinates and dividing by the difference in x-coordinates: (11 - 3) / (6 - 2) equals 8/4, which simplifies to 2.
Find the value of the expression 4² - 2(3).
10
12
14
8
First compute 4², which is 16, then calculate 2 multiplied by 3, giving 6. Subtracting 6 from 16 results in 10.
Which fraction is equivalent to 0.75?
4/5
3/4
2/3
1/2
The decimal 0.75 can be written as 75/100, which simplifies to 3/4 when both the numerator and the denominator are divided by 25.
If the perimeter of a square is 36, what is its area?
36
72
18
81
The side of the square is found by dividing the perimeter by 4, giving 9. The area is then 9 squared, which equals 81.
Simplify the expression: 3(a - 2) + 4a.
7a + 6
7a - 6
a - 6
12a
Distribute the 3 across (a - 2) to obtain 3a - 6, then add 4a to combine like terms, resulting in 7a - 6.
What is the value of | -8 |?
16
8
0
-8
The absolute value of a number is its non-negative form. Therefore, | -8 | equals 8.
If a car travels 60 miles in 1.5 hours, what is its average speed?
30 mph
45 mph
40 mph
50 mph
Average speed is calculated by dividing the distance traveled by the time taken. Dividing 60 miles by 1.5 hours yields an average speed of 40 mph.
Solve for y in the equation: (2y)/3 = 8.
16
12
8
10
Multiply both sides of the equation by 3 to get 2y = 24, then divide by 2 to isolate y. This results in y = 12.
Solve for x: 2(3x - 4) = x + 10.
14/5
18/7
18/5
4
First, distribute 2 on the left-hand side to obtain 6x - 8. Then, subtract x from both sides and add 8 to isolate x, resulting in 5x = 18 and x = 18/5.
A rectangle's length is twice its width. If the perimeter is 54, what is the area of the rectangle?
108
216
144
162
Let the width be w and the length be 2w. The perimeter is given by 2(w + 2w) = 6w, so setting 6w = 54 gives w = 9. The area is then 9 Ã - 18 = 162.
If f(x) = 2x² - 3x + 1, what is the value of f(3)?
10
8
12
7
Substitute x = 3 into the function to get 2(3²) - 3(3) + 1 = 2(9) - 9 + 1, which simplifies to 18 - 9 + 1 = 10.
Solve the inequality: 4 - 2x > 10. What is the solution set for x?
x ≥ -3
x > -3
x < -3
x ≤ -3
Subtract 4 from both sides to obtain -2x > 6, then divide by -2. Remember, dividing by a negative number reverses the inequality sign, resulting in x < -3.
The sum of the interior angles of a pentagon is 540°. If four angles measure 100°, 110°, 130°, and 90°, what is the measure of the fifth angle?
130°
110°
100°
120°
First, add the four given angles to get 430°. Subtracting 430° from the total interior angle sum of 540° yields the missing angle, which is 110°.
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Study Outcomes

  1. Understand key unit concepts and their applications in math problems.
  2. Analyze various problem-solving strategies to tackle diverse math questions.
  3. Apply mathematical techniques to practice exercises to reinforce learning.
  4. Evaluate personal performance and identify areas for improvement.
  5. Utilize quiz strategies to enhance test and exam readiness.

Unit 4 Practice Test - Exam Prep Cheat Sheet

  1. Understanding Systems of Linear Equations - Dive into solving paired linear equations using graphing, substitution, and elimination methods to pinpoint where two lines meet. This skill helps you unlock relationships between variables and tackle real-world puzzles like budgeting or mixing problems. Algebra 1: Systems of Linear Equations (Montgomery County)
  2. Exploring Conic Sections - Unearth the shapes and secrets of circles, ellipses, parabolas, and hyperbolas by studying their standard equations and geometric features. These curves aren't just drawings - they model everything from planetary orbits to satellite dishes! Geometry Unit 4: Conic Sections (Montgomery County)
  3. Mastering Quadratic Functions - Tackle quadratics head‑on by factoring, completing the square, or unleashing the quadratic formula to find their roots. Analyze graphs to spot vertex positions and axes of symmetry, essential for trajectories and optimization problems. Quadratic Functions (Math Flynn)
  4. Connecting Algebra and Geometry through Coordinates - Use coordinate geometry techniques like the distance and midpoint formulas to prove theorems and calculate perimeters or areas of polygons. This blend turns abstract shapes into exciting algebraic challenges. Geometry Unit 4: Coordinate Proofs (Montgomery County)
  5. Investigating Number Systems - Explore decimal, binary, octal, and hexadecimal worlds to see how different bases represent numbers in computing and digital electronics. Converting between them is like learning secret codes that power everything from video games to data encryption! Contemporary Math Unit 4: Number Systems (Fiveable)
  6. Solving Equations and Inequalities - Sharpen your skills solving one-variable equations and inequalities, including those with variables on both sides or wrapped in the distributive property. These core techniques lay the foundation for advanced topics like optimization and calculus. Investigations: Equations & Inequalities (Montgomery County)
  7. Exploring Functions and Their Representations - Map out functions with graphs, equations, tables, and words to see patterns and predict outcomes in real scenarios, from population growth to pricing models. Mastering these viewpoints builds deep, flexible understanding. Investigations: Functions (Montgomery County)
  8. Understanding Rates of Change - Grasp how the slope of a line captures rates of change, whether you're measuring speed, temperature shifts, or economic trends. Connecting algebra to everyday rates makes math feel like a real‑life detective tool. Unit 4 Study Guide: Rates of Change (Course Hero)
  9. Graphing Linear Equations - Practice drawing lines from slope-intercept or standard form equations to visualize solutions and intercepts. This hands‑on skill helps you instantly spot trends and relationships in data. Unit 4 Study Guide: Graphing Lines (Course Hero)
  10. Applying Mathematical Properties - Employ properties like distributive, associative, and commutative laws to simplify expressions and solve complex equations. Recognizing these building blocks makes algebra less about memorization and more about logical game moves. Investigations: Algebraic Properties (Montgomery County)
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