Equations practice problems - page 5 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: 4206
- A man 11
A man is x years old. In 10 years, he will be twice as old as he was 5 years ago. How old will he be in 10 years? - A car 8
A car begins heading along a path at 50 mph. A second car begins an hour later, along the same path traveling at 70 mph. For how long will the first car travel when the second car overtakes it? - I added
I added 10 to 3 times a number; the result is equal to 4 times the number. What is the number? - One side 3
One side of a triangular banner is 1 1/2 times longer than the second side and 2cm shorter than the third side. The perimeter of the triangle is 98cm. How long is the shortest side? - The temperature 45
The temperature in a field is 68°F at 4 PM. The temperature decreases by 4°F per hour. When will the temperature be 60°F? - Yiguo
There were an equal number of carrots, tomatoes, and cabbage in the pantry. Yiguo used 49 carrots som, some tomatoes, and some cabbages. There were 3 times as many tomatoes as cabbages left. Sixteen fewer carrots than tomatoes were left. There were 117 ca - Yoshi's
Yoshi's father gave him 200 Pokemon cards. Each week, Yoshi purchases 25 Pokemon cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Yoshi will have more than 750 Pokemon cards in - Angles - triangle
Find the measure of the angles of the triangle ABC if: the measure of angle A is the measure of angle C and the measure of angle B =½ of the measure of angle C. - Sam thinks
Sam thinks the club needs more female members. The club has 66 members. The ratio of male to female club members is 5:1. How many members are female? - Xero had
Xero had a piece of ribbon. He used 0.4 of it to tie 2 small boxes and 2 large boxes. The length of ribbon needed for a large box is 3 times the length of ribbon needed for a small box. Xero used 5/6 of the remaining ribbon to decorate the presents. a) Wh - In which
In which of the following expressions does the number 16 fill in the blank so that the equation is true? Select all that apply. A) 8(___ + 3) = 32 + 24 B) 8(2 + 9) = ___ + 72 C) 4(7 + 4) = 28 + ___ D) 8(5 + 6) = 40 + ___ - One-third of a drum
1/3 rd of a drum is filled with water. Needed another 60 l of water to fill the whole drum, then what is the capacity of a drum? - General right triangle
In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse. - Peter 17
Peter ate 9 ounces of chocolate cake which was 75% of the entire cake. Which expression can be used to find the size of the full cake? - A function
A function follows the rule "y is 3 less than half of x". Express y as a function of x in the form of an equation. - A potato
A potato farmer incurred a total cost of $1600 and $2500 from producing 5 and 8 potato bags, respectively, in 2 separate weeks. Find the cost of x bags. - Amy, Cindy
Amy, Cindy, and John shared a sum of money among themselves in the ratio of 5:8:11, respectively. If the money had been divided equally among themselves, Amy would have received an extra $18. (a) Would the amount of money that Cindy received change? Expla - Emu vs. Ostrich
The ostrich and the emu are the two largest birds. An emu is usually 1/2 the size of an ostrich. The sum of their heights is 150 inches. How tall is the average ostrich? - Petra 4
Petra had 20 meters of cloth. She made 3 dresses of the same size, and two meters were left. How many meters did each dress take? - Small and large bread
Kipton's aunt bakes a large loaf of bread and a small loaf of bread. She cuts each loaf into tenths and gives Kipton 2 tenths of each loaf to take home. Kipton writes the equation 2/10 + 2/10 = 4/10 to show the amount of bread he takes home. Explain Kipto
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