Square + square (second power, quadratic) - practice problems
Number of problems found: 2723
- Twice squared
If the square of twice a number is 81, what is the number? Give a positive number x.
- Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares.
- Difference of squares
If the difference between two numbers is 3 and the difference of their squares is 39, then find the larger number.
- Powers of three
Simplify to a single power of 3: 35/3 Words: start fraction, 3, to the power 5, divided by, 3, end fraction.
- The product 15
The product of two consecutive even numbers is 48. If the square of the smaller number is 35, what is the other number?
- The sum 51
The sum of two numbers is 100 and difference is 37 . Find the difference between their squares.
- A student 8
A student was asked to write 25 * 9² . By mistake he write 2592. Find the difference.
- Evaluate 37
Evaluate the function K(x) = 2x²+3x-2 what is the value of K(½)
- A pattern
If I have a pattern that starts with 1, 4, 9, 16, 25... and so on, which of the following numbers would not appear?
- Square lawn
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn.
- A person 2
A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.
- The intensity
The light intensity on a screen is inversely proportional to the square of the distance between the screen and the light source. If a screen is illuminated by a light source 20 m away, the intensity is one-fifth of what is required. Where should the light
- 765 chairs
765 chairs are arranged in rows in such a way that the number of chairs in each row is equal to the number of rows. How many chairs needs to be removed to complete this arrangement?
- Body mass index
Compute for BMI, then classify: Nr; weight ; height 1; 35 kg ; 1.25 m 2; 40 kg; 1.40 m 3; 50 kg; 1.75 m 4; 55 kg; 1.65 m 5; 63 kg; 1.23 m
- Evaluation order quiz
Which of the following is NOT true about the expression given below? (10 +4)²- 25 ...
- Sum of squares
The product of two numbers is 12. If the sum of their squares is 40, find the numbers.
- The Product 16
The Product of two numbers is 96, and their quotient is 6. Find the numbers.
- Mean proportional
If x+7 is the mean proportional between (x+3) and (x+12), find the value of x .
- Suppose 10
Suppose 4+7i is a solution of 5z²+Az+B=0, where A, B∈R. Find A and B.
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