Equations and inequalities

Word problems

Types of exercises: word problems with equations, word problems with quadratic equations - area of a shape, word problems with quadratic equations - finding a number.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Problem

In a right triangle one leg is 9 cm longer than the other, and the area of the triangle is 26 cm². Find the length of the shorter leg.

2

Problem

Julia and Jacob scored 174 points together. Jacob scored 30 more than 3 times what Julia scored. How many points did Julia score?

3

Problem

The product of two consecutive natural numbers is 600. Find the smaller of these numbers.

4

Problem

One side of a square was lengthened by 3 cm and the other by 5 cm. The result is a rectangle with an area of 48 cm². Find the side length of the square.

5

Problem

Sophie and Michael scored 79 points together. Michael scored 4 more than 4 times what Sophie scored. How many points did Sophie score?

6

Problem

The sum of the squares of two consecutive natural numbers is 13. Find the smaller of these numbers.

7

Problem

One side of a rectangle is 3 cm longer than the other, and the area of the rectangle is 208 cm². Find the length of the shorter side.

8

Problem

Michael and Peter scored 175 points together. Peter scored 27 more than 3 times what Michael scored. How many points did Michael score?

9

Problem

One of two positive numbers is 11 greater than the other, and their product is 180. Find the smaller of these numbers.

10

Problem

A rectangular plot is 8 m longer than it is wide, and its area is 308 m². Find the width of the plot.

This address is one particular set - everyone who opens it gets exactly the same exercises. Copy the link from the address bar and send it to the class. You can generate a new set at the top of the page.

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Word problems - exercises with solutions (Equations and inequalities) | PhiBoard