Pre Algebra Tutor Competency Quiz

Explanation
The sum of -25, -15, and 18 can be found by adding all the numbers together. -25 + (-15) + 18 = -22.

Explanation
To solve the expression -5 - (-24), we can simplify it by removing the double negative. When we subtract a negative number, it is the same as adding the positive version of that number. Therefore, -5 - (-24) becomes -5 + 24, which equals 19.

Explanation
The given expression is xy, where x = 0 and y = -34. When we substitute these values into the expression, we get 0 * (-34) = 0. Therefore, the answer is 0.

Explanation
The degree of a polynomial is determined by the highest power of the variable in the polynomial. In this case, the highest power of the variable "h" is 6, so the degree of the polynomial is 6.

Explanation
The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, the square root of 81 is 9 because 9 multiplied by itself equals 81.

Explanation
To find 1% of a number, we divide the number by 100. In this case, dividing 1600 by 100 gives us 16. Therefore, 16 is 1% of 1600.

Explanation
The prime factorization of 968 is 2 • 2 • 2 • 11 • 11. In order to find the prime factorization, we need to break down the number into its prime factors. We start by dividing 968 by the smallest prime number, which is 2. This gives us 484. We continue dividing by 2 until we can no longer divide evenly, which gives us 11 • 22. Next, we divide by the smallest prime number again, which is 2, giving us 11 • 2 • 11. Finally, we have the prime factorization of 968 as 2 • 2 • 2 • 11 • 11.

Explanation
The angles in Triangle ABC measure 100°, 50°, 30°. In a triangle, the sum of all angles is always 180°. Since the largest angle in this triangle is 100°, which is greater than 90°, it is an obtuse triangle.

Explanation
If Johnny collected $1650 from one group of students and charges $55 per student for a 6-week session, we can divide the total amount collected by the cost per student to find the number of students. In this case, $1650 divided by $55 equals 30 students. Therefore, there are 30 students in the group.

Explanation
The area of a rectangle is given by the formula length times width. In this case, the area is given as 4032 in2. We are also given that the length of the door is 12 inches less than twice the width. Let's assume the width of the door is w. According to the given information, the length would be 2w - 12. We can set up the equation w * (2w - 12) = 4032 and solve for w. By solving the equation, we find that w = 48. Substituting this value back into the expression for the length, we get l = 2(48) - 12 = 84. Therefore, the length is 84 inches and the width is 48 inches.

Explanation
To find the solution to the inequality 2x + 5 < 17, we need to isolate the variable x. First, subtract 5 from both sides of the inequality, which gives us 2x < 12. Then, divide both sides by 2 to solve for x, resulting in x < 6. Therefore, the correct answer is x < 6.

Explanation
The area of a circle is calculated using the formula A = πr², where r is the radius of the circle. In this case, the diameter of circle A is given as 8 feet, so the radius would be half of that, which is 4 feet. Plugging this value into the formula, we get A = π(4)² = 16π. Since π is approximately 3.14, the area of circle A is closest to 16 × 3.14 = 50.24 sq ft.

Explanation
The given expression has three terms: 19f^2, -11f, and -9. Since it has three terms, it is classified as a trinomial.

Explanation
The perimeter of a parallelogram is found by adding the lengths of all four sides. In this case, the lengths of the two sides are given as 5x + 4 and 2x + 3y. To find the perimeter, we add these two lengths together and then double the result since the opposite sides of a parallelogram are equal in length. Therefore, the expression for the perimeter is (5x + 4) + (2x + 3y) + (5x + 4) + (2x + 3y), which simplifies to 14x + 6y + 8.