Algebra

Worked Exercise

- What is the value of x in the equation?

2(3x – 2) = 3x + 8- 12
- 3
- 5
- 4

Working 2 (3x – 2 ) = 3x + 8

Step 1: Open brackets 6x – 4 = 3x + 8

Step 2: Collect like terms and simplify 6x – 3x = 8 + 4 3x = 12 x = 4

The correct answer is D (4)

- Francis has r shillings. John has s shillings. Ouma has sh.150 less than the total money of both Francis and John. Which one of the following expressions gives the total amount of money do the three men have?
- 2r + 2s – 150
- r + s – 150
- 2r + 2s + 300
- r + s + 300

Working

Francis = r

John = s

Ouma = r + s - 150

Total money = r + s + r + s – 150

= 2 r + 2s – 150

The correct answer is A (2r + 2s – 150)

- If x = 2, y = z - x and z = 3, What is the value of

3x – 4y + 2z

2 (x + 2y – z)- 8
- 5
- 7
- 4

Working

Substitute the values of x, y, and z

= (3x2) – (4x1) + (2x3)

2 (2+2 x 1 - 3)

=^{8}/_{2}= 4

The correct answer is D (4)

- In a meeting there were 30 women than men and three times as many men as children.If there were 1,360 people altogether. What was the number of children in the meeting?
- 220
- 190
- 600
- 570

Working Men 3x

Children x

Women 3x + 30

Total 7x + 30 = 1360

7x = 1360- 30

7x = 1330

x = 190

Children are 190

The correct answer is B (190)

- What is the value of p in the equation?

¾(8p- 4) = 4p +7- 2
- 5
- 5½
- 2
^{3}/_{8}Working

¾(8p - 4) = 4p +7

6p – 3 = 4p + 7 (opening brackets)

6p – 4p = 7 + 3 (collecting like terms)

2p = 10

p = 5 (Simplifying)

The correct answer is B (5)

- Omammo is two years older than Temo and three years younger than Mbeti. The sum of their ages is 64 years. If Omamo’s age is m, which of the following equations below can be used to find Omamo’s age?
- 3m + 1 = 64
- 3m – 1 = 64
- 3m – 5 = 64
- 3m + 5 = 64

Working

Omamo = m

Temo = m- 2

Mbeti = m + 3

Total age = 64

X + m – 2 + m + 3 = 64

m + m + m – 2 + 3 = 64

3m + 1 = 64

The correct answer is A (3m + 1 ) = 64

- What is the simplified form of 5x + (8x – 2y)
- 37x – 8y
- 7x –
- 28x – 2y
- 7x – 2y

Working

5x + ¼(8x – 2y ) open brackets

5x + 2x – ½y simplify

= 7x – ½y

The correct answer is B (7x – ½y)

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