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Quizzes > High School Quizzes > Foreign Languages

Repaso Leccion 2 Practice Quiz

Ace Your Test With Leccion 4 Review

Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Paper art promoting a practice quiz for lessons 2 and 4 review for high school students.

What is the sum of 7 and 5?
11
13
10
12
Adding 7 and 5 gives 12 because 7 + 5 = 12. This demonstrates basic addition skills fundamental to mathematics.
Which fraction is equivalent to 1/2?
2/4
1/3
3/4
1/4
2/4 is equivalent to 1/2 when simplified. Recognizing equivalent fractions is an essential skill in fraction comparison.
What is the area of a rectangle with a length of 5 cm and a width of 3 cm?
8 cm²
15 cm²
10 cm²
18 cm²
The area of a rectangle is found by multiplying its length by its width. Here, 5 cm multiplied by 3 cm equals 15 cm².
What is the decimal equivalent of the fraction 1/2?
2
0.5
0.05
1.5
Dividing 1 by 2 gives 0.5, which is the decimal form of 1/2. This conversion between fractions and decimals is a basic mathematical skill.
If you have 3 apples and then acquire 2 more, how many apples do you have in total?
2
5
3
6
Adding 3 apples and 2 apples results in 5 apples total. This reinforces the fundamental principle of addition.
Solve for x: 2x + 5 = 17.
7
8
5
6
Subtracting 5 from both sides results in 2x = 12, and dividing by 2 yields x = 6. This question tests basic skills in solving linear equations.
Which of the following is a prime number?
15
20
13
12
A prime number has exactly two distinct positive divisors: 1 and itself. Among the options, 13 meets this criterion while the others do not.
What is the simplified form of the fraction 8/12?
2/3
4/6
3/4
1/2
Dividing both the numerator and the denominator by 4 simplifies 8/12 to 2/3. This process highlights the method of reducing fractions to their simplest form.
If a triangle has two angles measuring 50° and 60°, what is the measure of the third angle?
70°
90°
80°
50°
The sum of all angles in a triangle is 180°. Subtracting the given angles (50° and 60°) from 180° yields 70° for the third angle.
What is the value of the expression 3(4 + 2) - 5?
13
11
17
16
First, add the numbers inside the parentheses: 4 + 2 = 6; then multiply by 3 to get 18; finally, subtract 5 to obtain 13. This problem reinforces the order of operations.
Which property is demonstrated by the equation 3 + 4 = 4 + 3?
Identity Property
Commutative Property
Associative Property
Distributive Property
The equation shows that changing the order of addition does not affect the sum, which is the Commutative Property. This fundamental property is key in many numerical operations.
What is the perimeter of a square with each side measuring 6 cm?
24 cm
18 cm
12 cm
36 cm
Since a square has four equal sides, its perimeter is calculated as 4 - 6 cm = 24 cm. This reinforces the concept of perimeters in geometry.
Given the ratio 2:3, if there are 10 items of the first type, how many items are there of the second type?
20
15
12
18
The ratio 2:3 means that for every 2 items of the first type, there are 3 items of the second type. Scaling up, if 2 corresponds to 10, then 3 corresponds to 15.
In which quadrant of the coordinate plane are both x and y coordinates negative?
Quadrant III
Quadrant II
Quadrant I
Quadrant IV
In a Cartesian coordinate system, Quadrant III is defined as the region where both x and y are negative. This is a fundamental concept in coordinate geometry.
What is the least common multiple (LCM) of 4 and 6?
18
6
24
12
The multiples of 4 are 4, 8, 12, ... and those of 6 are 6, 12, 18, ... . The smallest common multiple is 12, which is the correct answer.
Solve for y in the equation 3y - (2y + 4) = 8.
12
8
10
4
Expanding the equation gives 3y - 2y - 4 = 8, which simplifies to y - 4 = 8. Adding 4 to both sides yields y = 12.
A rectangle's length is twice its width, and its perimeter is 36 cm. What is the area of the rectangle?
36 cm²
72 cm²
60 cm²
48 cm²
Let the width be w; then the length is 2w. The perimeter is 2(w + 2w) = 6w, so w = 6 cm and length = 12 cm, making the area 6 - 12 = 72 cm².
Simplify the expression: 2/3 - 1/4 + 5/6. What is the result in simplest form?
5/4
15/12
7/12
3/4
Convert each fraction to have a common denominator of 12: 2/3 = 8/12, 1/4 = 3/12, and 5/6 = 10/12. Adding these gives (8 - 3 + 10)/12 = 15/12, which simplifies to 5/4.
If f(x) = 2x² - 3x + 1, what is the value of f(3)?
8
14
10
12
Substitute x = 3 into the function: f(3) = 2(3²) - 3(3) + 1 = 18 - 9 + 1 which equals 10. This evaluates the quadratic function correctly.
A bag contains red, blue, and green marbles in the ratio 3:4:5. If there are 36 blue marbles, how many marbles are there in total?
96
72
120
108
The ratio indicates that blue marbles represent 4 parts. Since 4 parts equal 36, one part is 9 marbles. The total number of parts is 3 + 4 + 5 = 12, so 12 - 9 equals 108 marbles.
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Study Outcomes

  1. Recall and explain key concepts from lesson 2.
  2. Analyze problem-solving strategies presented in lesson 4.
  3. Apply learned principles to new practice scenarios.
  4. Compare and differentiate important ideas from both lessons.
  5. Synthesize information from lessons 2 and 4 to solve complex problems.

Repaso Lección 2 Cheat Sheet

  1. Vertical Angles Mastery - Vertical angles are the pair of angles that sit opposite each other when two lines cross, and they always share the same measure. Spotting these congruent angles is like finding secret twins in a diagram! Fishtank Learning: Lesson 2
  2. Spotting Angle Pairs - Practice picking out matching angle pairs in all kinds of intersecting”line sketches. The more you play "angle detective," the faster you'll identify vertical, complementary, and supplementary buddies! Fishtank Learning: Lesson 2
  3. Solving for Angle Values - Combine vertical, complementary (sum to 90°), and supplementary (sum to 180°) relationships to crack angle”value puzzles. Translate each relationship into a simple equation and watch the numbers click into place! Fishtank Learning: Lesson 2
  4. Circle Center Concept - The center of a circle is the special point that sits exactly the same distance from every point on the circle's edge. It's the "heart" of your circle, giving you the power to draw perfect radii! Media4Math: Unit 3 Lesson 2
  5. Chord Confidence - A chord is simply a line segment whose endpoints both land on the circle's edge. Think of it as the "bridge" inside a circle - some chords can even be your shortcut to solving arc and angle problems! Media4Math: Unit 3 Lesson 2
  6. Central Angle Clarity - A central angle has its vertex at the circle's center and its sides stretching out as radii. These angles cut out arcs and help you measure slices of pizza - or pie charts - in perfect degrees! Media4Math: Unit 3 Lesson 2
  7. Arc Length Adventures - Arc length is the curved distance along the circle between two points. Calculating it is like measuring a tiny racetrack - just use your angle measure over 360°, multiply by the circumference, and you've got it! Media4Math: Unit 3 Lesson 2
  8. Addition Property of Equality - When you add the same number to both sides of an equation, the balance stays perfect. This property is your trusty tool for moving constants around and simplifying equations step by step! Media4Math: Unit 6 Lesson 2
  9. Division Property of Equality - Divide both sides of an equation by the same nonzero number, and the equality holds strong. It's the perfect move when you need to shrink coefficients and isolate your variable like a math ninja! Media4Math: Unit 6 Lesson 2
  10. Variable Isolation Skills - Isolating the variable means rearranging the equation until that letter stands alone on one side. Master this skill and you'll solve any linear equation with confidence and style! Media4Math: Unit 6 Lesson 2
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