Third power + square (second power, quadratic) - practice problems
Number of problems found: 175
- Square function
If z varies jointly as x and the square of y, and z = 20 when x = 4 and y = 2, find z when x = 2 and y = 4.
- Seventh term
The first term of a geometric sequence is 9 and the third term is 1296. Find the seventh term.
- Two expressions
When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y?
- Sqrt between ints
Which two consecutive integers does the square root lie? * √45 √23 √71 √7 √86
- Given 2
Given g(x)=x2+x+1 where x=t². What is g(t²)?
- Comparing exponents
A) 8 (6²)(8²) b) 16 (6²)(8²) c) (6¹+²) (8²)
- If x=4
If x=4 and y=-3, what is the value of the expression x² + 2xy - 4x + 3y + y²?
Mohammed grew a garden last year. His plot of land was 6 3/4 feet by 10 feet. He wants to have twice as much area and his garden this year. How much area will the new garden take up?
- Fraction unknowns
Divide of fractions with unknowns: Fraction 1: The quantity x squared plus 6 times x plus 9 over the quantity x minus 1. Fraction 2: the quantity x squared minus 9 over the quantity x squared minus 2 times x plus 1. Find Fraction 1 over Fraction 2.
- Evaluate expression
Evaluate following expression: 5 to the power of 2 - (4x4) divided by 2 =
- Mr Duma
Mr Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1;Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has pl
- Two gardens
The flower garden has a square shape. The new garden has the shape of a rectangle, and one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original garden dimensions and the new garden if both gardens' area i
- Future value investment
Poseidon deposited 2,747 golden drachmas in a Mount Olympus college savings account to ensure Percy can go to college. It pays 0.04 (percent in decimal form) annual interest. After 11 years, he withdraws the money. How much more money would he have if the
- The length 2
The length of a rectangle is 12y² – 15y + 8 and the width is 7y – 11. Find the area of the rectangle
- The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
- Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
- What is 10
What is the measure of the square side whose area is (4x² + 28x+49) square units?
In 2014, the sum of the ages of Meghan's aunt, her daughter and her granddaughter was equal to 100 years. In what year was the granddaughter born, if we know that the age of each can be expressed as the power of two?
- The cube
The cube has a surface of 600 cm². What is its volume?
- Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
Third power - practice problems. Square (second power, quadratic) - practice problems.