Equations practice problems - page 164 of 213
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: 4245
- Determine AP
Determine the difference of the arithmetic progression if a3 = 7, and a4 + a5 = 71 - Nuts
Peter has 49 nuts. Walnuts have three more than hazelnuts and hazelnut two over almonds. Determine the number of walnuts, almonds, and hazelnuts. - Unknown number 4
I think number. When I divided its square root by its 1/9, I got a number 1. What number am I thinking? - Equation: 3726
Determine the real root of the equation: x^-3: x^-8 = 32
- Friends
James and Jaroslav are friends. Together they had 48 toy cars. But if John had taken eight cars from Jaroslav, Jaroslav would have had 1.5 times more toy cars than James. How many toy cars had Jaroslav and James? - Four swords
Obelix has three helmets, four swords, and five shields. How many words must you make at the blacksmith forge Metallurgix to be able to walk another 90 days in unique armor? - Fifth member
Determine the fifth member of the arithmetic progression if the sum of the second and fifth members equals 73 and the difference d = 7. - Football season
Dalibor and Adam together scored 97 goals in the season. Adam scored nine goals more than Dalibor. How many goals were scored each? - Chocholate pyramid
How many chocolates are on the third shelf when on the 8th shelf are 41 chocolates on any other shelf? Are seven chocolates more than the previous shelf?
- Blueberries
Miko and Anton have a total of 1,580 blueberries. Miko and Anton have them in the ratio of 2:3. Determine how much each of them has. - Unknown number 7
Calculate an unknown number whose 12th power, when divided by the 9th power, gets a number 27 times greater than the unknown number. Determine the unknown number. - Unknown number
I think number. If I subtract from the twelfth square the ninth square, I get a number 27 times greater than the intended number. What is this unknown number? - Circle - AG
Find the coordinates of the circle and its diameter if its equation is: x² + y² - 6x-4y=36 - Equation of circle
Find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16.
- Chairs
Determine the number of seats in the seventh and ninth rows if the 3rd row has 14 seats and every next row has five more than the previous row. - Spain vs USA
Spain lost to the US by four goals. In the match, the total fell ten goals. How many goals gave Spain, and how did the United States? - Blackberries
Daniel, Jolana, and Stano collected 34 blackberries together. Daniel collected eight blackberries more than Jolana, and Jolana 4 more than Stano. Determine the number of blackberries each collected. - Unknown number 6
Find the unknown number, which is by 1.5 greater than its fourth. - Linear imaginary equation
Given that 2(z+i)=i(z+i) "this is z star" Find the value of the complex number z.
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