Unlock hundreds more features
Save your Quiz to the Dashboard
View and Export Results
Use AI to Create Quizzes and Analyse Results

OR
Sign inSign in with Facebook
Sign inSign in with Google
Quizzes > High School Quizzes > Mathematics

Unit 4 Mid Assessment Practice Quiz

Boost Math Skills with Guided Assessment Answers

Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Colorful paper art promoting the Unit 2 4 Math Challenge trivia for middle school students.

What is 1/2 + 1/3?
2/3
5/6
1/6
3/5
To add 1/2 and 1/3, find a common denominator, which is 6. This gives equivalent fractions of 3/6 and 2/6, so their sum is 5/6.
What is 7 x 8?
54
56
64
48
Multiplying 7 by 8 gives 56. This is a basic multiplication fact every student should know.
What is the perimeter of a rectangle with a length of 5 and a width of 3?
15
16
18
20
The perimeter of a rectangle is calculated as 2*(length + width). Here it is 2*(5+3) = 16.
Solve for x: x + 5 = 10.
5
10
15
0
Subtracting 5 from both sides of the equation gives x = 5. This is a straightforward linear equation solution.
If the ratio of apples to oranges is 3:2 and there are 12 apples, how many oranges are there?
6
8
10
12
Dividing 12 apples by 3 gives a factor of 4. Multiplying 2 (from the ratio) by 4 yields 8 oranges.
What is 3/4 - 1/3?
1/2
5/12
7/12
3/12
Convert the fractions to a common denominator (12): 3/4 equals 9/12 and 1/3 equals 4/12. Subtracting gives 5/12, which is the correct answer.
Simplify the expression: 2x + 3x - 4.
5x - 4
6x - 4
5x + 4
3x - 4
Combine like terms 2x and 3x to get 5x and then subtract 4. The simplified expression is 5x - 4.
Find the area of a triangle with a base of 8 and a height of 5.
20
40
13
10
The area of a triangle is calculated as 1/2 times the base times the height. Therefore, 1/2 * 8 * 5 equals 20.
If 3 notebooks cost $9, how much do 7 notebooks cost at the same rate?
$18
$21
$24
$27
Each notebook costs $9 divided by 3 which is $3. Multiplying $3 by 7 gives a total of $21.
What is 0.75 divided by 0.25?
1
2
3
5
Dividing 0.75 by 0.25 yields 3, as 0.25 goes into 0.75 exactly three times.
Solve for x: 3x - 7 = 2.
3
2
4
5
Add 7 to both sides to obtain 3x = 9, then divide by 3 to find x = 3.
What is 20% of 150?
20
25
30
35
20% expressed as a decimal is 0.20, and multiplying 0.20 by 150 yields 30.
Solve: 5 + 2 x 3 - 4.
7
9
11
13
According to the order of operations, multiply 2 by 3 to get 6, then add 5 to get 11, and finally subtract 4 resulting in 7.
If 2x = 14, what is the value of x?
5
6
7
8
Dividing both sides of the equation 2x = 14 by 2 gives x = 7.
A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a blue ball?
3/5
3/8
1/2
5/8
The total number of balls is 8, and there are 3 blue balls. Thus, the probability of drawing a blue ball is 3/8.
Solve for x: 2(x - 3) + 4 = 3(x + 1) - 2.
-3
1
3
5
Expanding both sides gives 2x - 6 + 4 = 3x + 3 - 2, which simplifies to 2x - 2 = 3x + 1. Solving for x yields x = -3.
If (1/2)x + 3 = (3/4)x, what is x?
6
9
12
15
Multiply the equation by 4 to eliminate fractions: 2x + 12 = 3x. Solving for x gives x = 12.
If a machine produces 120 parts in 4 hours, how many parts does it produce in 7 hours at the same rate?
190
200
210
220
First, determine the production rate by dividing 120 parts by 4 hours, resulting in 30 parts per hour. Then multiply 30 by 7 to obtain 210 parts.
A rectangle's length is twice its width. If the perimeter is 36, what are the rectangle's dimensions?
Width=6, Length=12
Width=5, Length=10
Width=4, Length=8
Width=7, Length=14
Let the width be w and the length be 2w. The perimeter is given by 2(w + 2w) = 6w, and setting 6w = 36 gives w = 6 and length = 12.
A product's price increased from $80 to $100. What is the percentage increase?
20%
25%
30%
50%
The increase is $20 from an original price of $80. Dividing 20 by 80 and multiplying by 100 gives a 25% increase.
0
{"name":"What is 1\/2 + 1\/3?", "url":"https://www.quiz-maker.com/QPREVIEW","txt":"What is 1\/2 + 1\/3?, What is 7 x 8?, What is the perimeter of a rectangle with a length of 5 and a width of 3?","img":"https://www.quiz-maker.com/3012/images/ogquiz.png"}

Study Outcomes

  1. Analyze key math concepts from both Unit 2 and Unit 4.
  2. Apply problem-solving strategies to diverse quiz questions.
  3. Synthesize mathematical techniques to approach test challenges.
  4. Evaluate performance to identify strengths and areas for improvement.

Unit 4 Mid-Assessment Math Answers Cheat Sheet

  1. Represent Proportional Relationships - Proportional relationships let you compare two quantities that change at a constant rate - you can set them up in tables, plot them on graphs, or write them as nifty equations. For example, if a smoothie recipe uses 5 cups of grape juice and 2 cups of peach juice, the constant of proportionality is 0.4 (2 ÷ 5), which means there are 0.4 cups of peach juice for every cup of grape juice. Mastering these representations helps you predict values in real life! Proportional Relationships
  2. Writing Proportional Equations - To turn real-world scenarios into equations, identify the constant of proportionality and hook it to your variable. If carpet costs $1.50 per square foot, the cost c relates to the area f with c = 1.5f - simple and sweet! Play with different rates to see how changing the constant reshapes the graph. Writing Proportional Equations
  3. Pythagorean Theorem Explained - Dig into the Pythagorean Theorem, which says that in any right triangle, a² + b² = c², where c is the hypotenuse. It's your go-to tool for finding missing side lengths and working out distances between points. Whether you're hiking up a mountain or designing a skate ramp, this theorem has your back. Pythagorean Theorem Explained
  4. Geometric Transformations - Transform your figures like a math magician by mastering rotations, reflections, and translations - they're the foundation of congruence and symmetry. Rotate a shape around a point, flip it over a line, or slide it across the plane to see how coordinates change. These moves will level up your skills in geometry puzzles and art alike! Geometric Transformations
  5. Angle Relationships - Crack the code of supplementary, complementary, vertical, and adjacent angles and solve for unknown measures with confidence. Recognizing these pairs helps you conquer complex angle-chasing problems in multi-step proofs. Next time you see intersecting lines, you'll know exactly which angles are BFFs! Angle Relationships
  6. Circles & Circumference - Explore how radius, diameter, and circumference play together in a circle: d = 2r, and C = 2πr or πd - pick your favorite formula! Use these relationships to calculate areas and circumferences in fun real-life challenges, like measuring hoops or pizza slices. It's a tasty way to circle in on geometry! Circles & Circumference
  7. Cross-Sections of 3D Figures - Slice through three-dimensional figures to discover what shapes appear when you cut perpendicular to the base, parallel to the base, or at an angle. Whether you're hacking through a cake or inspecting a tunnel, these cross-sections expand your 3D visualization skills. Spotting these slices is like uncovering hidden shapes! Cross-Sections of 3D Figures
  8. Measuring Angles - Equip yourself with protractors and non-standard units to measure angles from tiny fractions up to full rotations. Accurate angle measurement is key for drafting, engineering, and making sweet paper crafts. Practice measuring acute, obtuse, and reflex angles to become a true angle ace! Measuring Angles
  9. Scale Drawings & Models - Scale drawings let you shrink or enlarge objects proportionally to fit on paper or a model - perfect for architects, mapmakers, and LEGO engineers. Use ratios to turn a football field into a tiny diagram, or expand a toy car design into a life-size prototype. Scale your way to real-world success! Scale Drawings & Models
  10. Surface Area Formulae - Think of surface area as the total skin covering a 3D shape - all its faces combined into one measurement. Use the right formulas for prisms, cylinders, or pyramids to figure out how much paint, wrapping paper, or fabric you'll need. Surface area calculations make everyday projects a breeze! Surface Area Formulae
Make a Quiz (FREE) Copy & Edit This Quiz Create a Quiz with AI

Mathematics Quizzes

Powered by: Quiz Maker