Equations practice problems - page 66 of 211
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4215
- The midpoint
The midpoint of (2, 5) and (8, y) is (5, -1). Find the line equation in slope-intercept form. - Equations 36561
Solve two equations with one unknown: a) 1/6 * x = 3 b) 4/7/y=2/7 - Barborka 36393
Adela and Barbora have a total of 34 candies. If Barbora gives Adela 2 candies, they will have the same. How many candies does Adela have, and how many Barbora? - Diameter 36363
With a single pull, the wire diameter is reduced by 10%. How many draws are required to minimize the wire diameter from 5 mm to less than half?
- Remaining 36343
Nina is going skiing. She bought trousers with a quarter of the saved money, spent a third of the amount on a backpack, and a friend sold her skis for the remaining €100. How much € did Nina save? - Trip cost
In September, the trip cost CZK 12,000. How many crowns did the trip cost in June of the same year, when they have since reduced the price by a quarter and another CZK 1,200? - Hard cone problem
The cone's surface is 200 cm², and its height is 7 centimeters. Calculate the volume of this cone. - Expression 35981
I think the number is when you substitute it in the expression (x-4). (2x-1), you get zero. What number can it be? - Consecutive members
The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, and c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence.
- If you 4
If you deposit $2500 in an account paying 11% annual interest compounded quarterly, how long until there is the $4500 in the account? - If you 2
If you deposit $4000 into an account paying 9% annual interest compounded monthly, how long until there is $10000 in the account? - Semiannually compound interest
If you deposit $ 5,000 into an account paying 8.25% annual interest compounded semiannually, how long until there is $9350 in the account? - Compound Interest
If you deposit $6000 in an account paying 6.5% annual interest compounded quarterly, how long until there is $12600 in the account? - Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions.
- Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence, and the smallest angle is 70°. - The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom? - Initially 35123
Five hundred ninety pieces of clothing were to be sewn in the two branches of the tailor's workshop. However, 30% more were sewn in the first workshop and 10% more in the second. They sewed a total of 703 pieces. How many products were initially supposed - Divided 35011
13300 CZK is divided into three parts. Part 1 is x, part 2 is 2/3 of part 1, and Part 3 is 2/3 of part 2. Find these parts. - Beginning 34991
At the beginning of the year, the company had CZK 5,000,000 in its account. He has the money saved at a 16% interest rate. How much was the interest for the first year? How much was the interest for the second year?
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