Repaso Leccion 2 Practice Quiz

Adding 7 and 5 gives 12 because 7 + 5 = 12. This demonstrates basic addition skills fundamental to mathematics.

2/4 is equivalent to 1/2 when simplified. Recognizing equivalent fractions is an essential skill in fraction comparison.

The area of a rectangle is found by multiplying its length by its width. Here, 5 cm multiplied by 3 cm equals 15 cm².

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.

Adding 3 apples and 2 apples results in 5 apples total. This reinforces the fundamental principle of addition.

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.

A prime number has exactly two distinct positive divisors: 1 and itself. Among the options, 13 meets this criterion while the others do not.

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.

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.

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.

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.

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.

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 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.

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.

Expanding the equation gives 3y - 2y - 4 = 8, which simplifies to y - 4 = 8. Adding 4 to both sides yields y = 12.

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.

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.

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.

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.