Equations practice problems - page 191 of 242
Number of problems found: 4827
- Tournament goals
Italy, the Netherlands, and Spain scored 67 goals in the tournament. The Netherlands scored two more goals than Italy, and Spain scored one goal less than Italy. Determine the number of goals. - Circle radius
Calculate the circle's radius if the circumference and area are in a 2:5 ratio. - Euclid theorems
Calculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent to the second leg b, is 5cm. - TV original price
The TV cost € 420 after a 9% discount. How much did he cost before the discount? - Charles Bridge
From 1900 to 1931, Charles Bridge was 15 times older than Frantův Bridge. How old is the Charles Bridge? - Proportion
Write the following proportion: Eight is to 64 as to 2 is to x - Numbers
a/ I think of a number. If I add 6 to it three times, I get it five times. Determine this number. b/ I think of a number. If I add 8 to its six times, I get a number that is 10 less than its fifteen times. c/ I think of a number that, when increased by 6, - SMS time
Novak and Vyborn are leaving from a joint vacation. They agreed that when they were 100 km apart, they would send each other SMS. Novices drive at a speed of 60 km/h, Advanced 90 km/h. They left at 2:00 PM (14:00). What time do they text each other? - Equation with x
Solve the following equation: 2x- (8x + 1) - (x + 2) / 5 = 9 - Unknown number
If we multiply the number by 4, I get a third of the number 36. Specify an unknown number. - Store revenue
They had the same sales plan in Mr. Nový's two stores. In the first store, they exceeded the plan by 23% and in the second by 25%. They had a total turnover of € 66,000. What revenue did each store have? - Two trains
Two trains are running the same distance. 1st train will travel in 7 hours 21 minutes. 2nd, the train will travel 5 hours, 57 minutes, and 34 seconds, and it is 14 km/h faster than the first train. What are the speeds of trains, and how long is this railw - Rectangle area
The dimensions of the left rectangle are 4 cm and (x+1) cm. The right rectangle consists of two rectangles: the upper one with dimensions of 3 cm and x cm and the lower one with an area of 7 cm². We know that the area of the left rectangle is the same as - Number increases
We increased the unknown number by 29% once and 41% the second time. The difference between the new numbers was 420. What was the unknown number? - Equation and inequality
Example1: Solve a linear equation and perform a test: 6x- (3x + 2) = x-8 Example 2: Solve a linear inequality: 3y + 2 * (y + 1) ≥2y-7 - Equations
Solve the following equations without fractions: a) 5 (x-1) -7 = 17-3 (1-x) b) 3 (y-2) -4y = 2- (1 + 2y) - Cyclist route
The cyclist drove two-fifths of the way on the first day and three-eighths on the second day. He still has 45 km to go to the finish. a) What is the length of the whole trip? b) How many km has he covered? - Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. f: y=x²+bx+c - Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2. - Equation solving
Solve the equation: 12- (12-5x) = 3x + (x-4)
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