Solve x + y = 4

2x - y = 5

By using the substitution method.

The sum of two timbers is 127. If the difference between the numbers is 7, find the numbers.

A mother is 4 times older than her child. Five years ago the product of their ages was 175. Find their present ages.

Two numbers are such that the first number plus the second number is 7. The first number minus twice the second number is 1. Find the numbers.

Simplify 3a – 5b – 7a + 6c + 7a + 8b

  (a)   Three relatives shared Tshs 140,000 so that the first one got twice as much as the second, and the second got twice as much as the third. How much money did the first relative get? 

By substituting a = ¹_x and b = ¹_y in the system of equations: 

, find the solution set (x,y).

Given that 3x + y= 19 and x+3y=1, Find the value of 2x + 3y

  Find the solution set of the inequality

and indicate it on a number line

Simplify the algebraic expression ?2(x?3)+4(?2x+8) 

What is x  if x +2y =16 and y=3?

The area of a rectangular room is 196 cm 2 . If its length is four times its width, find its perimeter. 

If a triangle has two equal sides of length x cm each and the length of the remaining side is one quarter of the total length of the two congruent sides, write down an equation that represents the perimeter of this triangle.

The age of the father is three times the age of his son. If the sum of their ages is 64 years, find their ages.

Determine the value of x that satisfies the equation 

At Kilamara secondary school, the distance (d1)  from the dormitories to the classrooms is twice the distance (d2) from the classroom to the playing grounds whereas the distance (d3) from the dormitories to the playing grounds is three times the distance from the dormitories to the classrooms. Using the given notations write down the two equations that summarizes this information and hence find the equation that connects d3 and d2 .

Represent the solution set of the inequality 5x + 5 < 20 on a number line.

When 9 is added to 3 times a certain number, the result is greater than 90. Write down an inequality that represents the possible values of this number.

. Calculate the value of 2x + k + 20 + y , when x = 8, k = 12 and y =? 9 .

if x = 6, y= -14 and z = 16, find the value of

The age of Timothy is  the age of his father. If the sum of their ages is 54 years, find the age of the father.

Solve the following pairs of simultaneous equations by the elimination method

  2x+y=10

3x-2y=1 

If m * n = m + 4n, find x given that 3 * (x * 1) = 27.

Mr. Bean lived a quarter of his life as a child, a fifth as a teenager and a third as an adult. He then spent 13 years in his old age. How old was he when he died?

Determine the value of x that satisfies the equation

given that y = 2

If x * y is defined as (x + y), find (5 *? 2) * (3 *? 4) .

If John is x years old and Mary is 3 years older than John, write down an equation for the sum of their ages 

Represent the solution s et of the inequality 3x + 4 ? 25 on a number line.

Represent the solution s et of the inequality 3x + 4 ? 25 on a number line.

A shopkeeper sold 500 sweets. Some costs shs. 5 and some cost shs. 8. The cash received for the more expensive sweets was shs. 100 more than for the cheaper sweets. Find the number of each kind of sweet which were sold.

Represent the solution s et of the inequality 3x + 4 ? 25 on a number line.

The football ground at Merita secondary school is  times as long as the length of the basketball ground. If the football ground is 100 meters long, find the length of the basketball ground.

When 6 is subtracted from a certain number, the result is greater than 29. Write down an inequality that represents the possible values of this number.

Simplify the expression 9(a ? 3b) + 5(4b + a) ? b . 

Find the value of x in the equation

A mathematics teacher bought 40 expensive calculators at shs.16,400 each

and a number of other cheaper calculators costing shs.5,900 each. She spent a total of shs. 774,000. How many of the cheaper calculators did she buy? (6 marks)

Solve for x in the inequality  3x-4? x+16

Solve

By Elimination method

Asha and Juma received 630,000 shillings from their father. The father wanted to give Asha twice as much money as the amount that could be given to Juma. How much did Asha receive? 

Solve the equation