# Equations practice problems

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: 4205

- The number 10

The number of sides of two regular polygons differ by 1 the sum of the interior angles of the polygons is in the ratio of 3:2 calculate the number of sides of each polygon. - Fraction money

5/8 of a sum of money is £1.10. What is the whole amount? - Fraction equation 3

A number minus one-ninth equals one-half. Find the number. - Farmer 8

Farmer George cultivated 7/12 of his land with oranges and 1/5 of the remainder with cherries, and the remaining 40 acres he planted with cash crops. How much land did the farmer cultivate in all? What fraction of land does she plant with cherries? - The difference 6

The difference between a number and 15 is multiplied by -3, and the result is - 30 - A right 3

A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides . - The enrolment 2

The enrolment at a school has increased from 1400 learners to 1600 learners over 5 years. What is the percentage increase in enrolment? - Fraction number

If two-thirds of a number is added to one-ninth of the same number, the result is 7. Find the number. - Gift baskets

Alessia and Alexia made some gift baskets to sell. 2/5 of them were Yu-Gi-oh themed, and the rest were Barbie-themed. They sold 3/4 of the yu-gi-oh-themed baskets and 7/12 of the Barbie-themed baskets. They remained with 56 gift baskets. How many gift bas - Cupcakes

Keia and Hiro made a total of 27 cupcakes. Keia made 2 times as many cupcakes as Hiro. How many cupcakes did Hiro make? - Prealgebra ex

Find an unknown number/mixed number N in the given equation: N + 3 1/2 = 6 3/4 - Violin and dance lesson

Each week, Nina takes a violin lesson and a dance lesson. The dance lesson costs ⅔ as much as the violin lesson, and the combined cost is $75. Which systems of equations could be used to find d, the cost of the dance lesson in dollars, and v, the cost of - Harold

Harold made a rectangular dog run in his backyard. The area of the dog run is 96 square feet. What are three different possible dimensions of dog run? - Collinear lines

Points A, B, and C are collinear, and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC? - EE school boarding

Three vectors, A, B, and C, are related as follows: A/C = 2 at 120 deg, A + B = -5 + j15, C = conjugate of B. Find C. - The population 2

If 3/5 of a village's population is 366 persons, what is the village's population? - Julia 4

Julia correctly solved a math problem by first dividing 44.5 by 5 and then subtracting 23 from the result. Which equation could be solved to get the same answer? Responses: A 5x+23=44.5 B 5(x-23)=44.5 C 5(x+23)=44.5 D 5x-23=44.5 - Unknown var N

Five-eights of a number, N, is 50. What is the value of N? - The numerator

The numerator of the fraction is 5 more than its denominator. If 4 is added to the numerator and denominator, the fraction obtained is 6/5. What is that fraction? - The land 3

A farmer uses 1/3 of his land to grow cassava, 2/5 to grow maize, and the rest for vegetables. If the area used to grow vegetables is 10 acres, what is the total area of the land?

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