Algebraic Processes Generix Content - Algebraic Processes
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"Algebraic Processes" question number distribution across years
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WAEC questions for "Mathematics :: Algebraic Processes"
Q1

Solve the inequality: 3(x+1) ≤ 5(x+2) + 15

A

x ≥ -14

B

x ≤ -14

C

x ≤ -11

D

x ≥ -11

E
Q2

The sum of 6 and one-thrid of x is one more than twice x. Find x

A

x = 7

B

x =5

C

x = 3

D

x =2

E
Q3

Given that T = {x : -2 < x ≤ 9}, wnere x is an integer. What is n (T)?

A

9

B

10

C

11

D

12

E
Q4

Factorise: x + y - ax - ay

A

(x-y)(1-a)

B

(x+y)(1+a)

C

(x+y)(1-a)

D

(x-y)(1+a)

E
Q5

Given that 5n+3 / 252n-3 = 5, find n.

A

n =1

B

n = 2

C

n = 3

D

n = 5

E
Q6

What is the value of x when y = 5?

A

8

B

9

C

10

D

11

E
Q7

Given that P = {x: 1 ≤ x ≤ 9}, where x is an integer. What is n(T)?

A

x = 7

B

x = 5

C

x = 3

D

x =2

E
Q8

Simplify   2/2-x + 2/2-x

A

4/4-x²

B

8/4-x²

C

4x/4-x²

D

8-4x/4-x²

E
Q9

If y = y(2√x + m)/3N , make x the subject of the formular

A

√9yN /2

B

√9yN + 2m /2

C

√9yN - 4m /2

D

√9yN + 2m /2

E
Q10

What id the equation of the line described in the table?

A

y = 2x

B

y = x + 1

C

y = x

D

y = 1/2x +1

E
Q11

The shaded portion in the diagram is the solution od

A

x + y ≤ 3

B

x + y < 3

C

x + y > 3

D

x + y ≥ 3

E
Q12

If the sum of the roots of the equation (x-p)(2x+1) = 0 is 1, find the value of p.

A

11/2

B

1/2

C

-1/2

D

-11/2

E
Q13

If x + kx + 16/9 is a perfect square, find the value of x.

A

8/3

B

7/3

C

5/3

D

2/3

E
Q14

If x kmh-1 = y ms-1, then y = ?

A

7/18x

B

11/20x

C

4/15x

D

5/18x

E
Q15

The mean of the numbers 2,5,2x and 7 is less than or equal to 5. Find the range of the value of x.

A

x≤3

B

x≥3

C

x<3

D

x>3

E
Q16

Solve the following simultaneous equation: 2x + 3y = 7, x + 5y = 0

A

x = 5, y = -1

B

x = 1/5 , y = -1

C

x = -1/5 , y = 1

D

x = -5, y = 1

E
Q17

If 3/2x - 2/3x = 4, solve for x

A

4/5

B

4/13

C

5/24

D

13/24

E
Q18

Find the co-ordinates of point P.

A

(0,4)

B

(4,0)

C

(0,-4)

D

(-4,0)

E
Q19

Find the values of x when y = 0

A

1,3

B

1,4

C

2,3

D

1,6

E
Q20

If (2x + 3) = 125, find the value of x

A

1

B

2

C

3

D

4

E
Q21

Factorise x - 2x - 3xy completely.

A

(x - 2)(3x - y)

B

(x - 3y)(x -2)

C

(x - 3y)(x + 3y)

D

(3x + y)(x - 2)

E
Q22

If 92x = 1/3 (27x), find x.

A

2

B

1

C

-1

D

-2

E
Q23

If 85% of x is ₦3230, what is the value of x?

A

₦2745.50

B

₦3714.50

C

₦3800.00

D

₦4845.00

E
Q24

Solve: 2x + 1/ 6 - 3x - 1/4 = 0

A

1

B

1/5

C

-1/5

D

-1

E
Q25

If c and k are the roots of 6 - x - x = 0, find c + k

A

2

B

1

C

-1

D

-3

E
Q26

Simplify: (x - 3y) - (x + 3y)

A

2(x + 3y)

B

(2x - 3y)

C

-12xy

D

6xy

E
Q27

Find the quadratic equation whose roots are -1/2 and 3.

A

2x - 2x + 3 = 0

B

2x - 2x - 3 = 0

C

2x - 5x + 3 = 0

D

2x - 5x - 3 = 0

E
Q28

If p - 2g + 1 = g + 3p and p - 2 = 0, find g

A

-2

B

-1

C

1

D

2

E
Q29

1/x+1/y/x + y

A

1/x+y

B

1/xy

C

x+y

D

xy

E
Q30

√27xy9

A

9xy

B

3xy6

C

3xy

D

9y

E
Q31

Given that x = 2 and y = -1/4 , evaluate xy - 2xy/5

A

0

B

1/5

C

1

D

2

E
Q32

Factorize 5y2 + 2ay - 3a2

A

(a - y)(5y - 3a)

B

(y - a)(5y - 3a)

C

(y - a)(5y + 3a)

D

(y + a)(5y + 3a)

E
Q33

If 4y is 9 greater than the sum of y and 3x, by how much is y greater than x?

A

3

B

6

C

9

D

12

E
Q34

P = 3/5q/r , express q in terms of p and r

A

9/25pr2

B

9/25p2r

C

25/9p2r

D

25/9pr2

E
Q35

Simplify: 2x-5x-12/4x-9

A

x+4/2x+3

B

x+4/2x-3

C

x-4/2x+3

D

x-4/2x-3

E
Q36

In the diagram, <QPR = 90°. If q2 = 25 - r2, find the value of p.

A

3

B

4

C

5

D

6

E
Q37

If p = 1/2 and 1/p-1 = 2/p+x , find the value of x.

A

-21/2

B

-11/2

C

11/2

D

21/2

E
Q38

Find the quadratic equation whose roots are c and -c

A

x + c = 0

B

x - c = 0

C

x + 2cx + c = 0

D

x - 2cx + c = 0

E
Q39

Solve the inequality 1 - 2x < -1/3

A

x < 2/3

B

x < -2/3

C

x > 2/3

D

x > -2/3

E
Q40

For what range of values of x is 1/2x + 2 ≥ 2x - 1?

A

x ≤ 2

B

x ≥ 2

C

x ≤ 3

D

x ≥ 3

E
Q41

Which of the following statements is true for the set P = {-3.2 ≤ x ≤ 5} where x is an interger?

A

Least value of x is -3.2

B

Least value of x is -3

C

Greatest value of x is 4.9

D

Greatest value of x is 5

E
Q42

Simplify: 3x/(3x)

A

1

B

1/3

C

1/9

D

1/27

E
Q43

₦140,000 is shared between Abu, Kayode and Uche. Abu has twice as much a s Kayode and Kayode has twice as much as Uche. What is Kayode's share?

A

₦80,000

B

₦40,000

C

₦20,000

D

₦10,000

E
Q44

I am x years old and my brother is 3 years older. How old was my brother last years?

A

(x -4)years

B

(x + 2)years

C

(3x-1)years

D

(3x+1)years

E
Q45

For what value of x is the expression 2x-1/x+3 not defined?

A

3

B

2

C
D

1/2

E

-3

Q46

If x = 3, y = 2 and z = 4, what is the value of 3x - 2y + z?

A

17

B

27

C

35

D

71

E
Q47

Solve the simultaneous equations:x+y=2 and 3x-2y =1

A

x = 2 and y = 1

B

x = 1 and y = 1

C

x = 1 and y = 2

D

x = -1 and y = 1

E
Q48

If 8x-1 = 1/4, find x.

A

-5/3

B

-1

C

=1/3

D

1/3

E
Q49

If the ratio x:y = 3:5 and y:z = 4:7, find the ratio x:y:z

A

15:28:84

B

12:20:35

C

3:5:4

D

5:4:7

E
Q50

Which of the following is a factor of 2 - x - x?

A

1-x

B

1+x

C

x-1

D

2-x

E
Q51

Make w the subject of the relation [(a+bc)/(wd+f)] = g

A

a+bc-fg/dg

B

a-bc+fg/dg

C

a+bc-f/dg

D

a+bc-dg/dg

E
Q52

Expand the expression (3a-xy)(3a+xy)

A

9a - xy

B

9a + xy

C

9a - xy

D

9a + xy

E
Q53

Simplify: 4/2x - 2x+x/x

A

1

B

-2x

C

2x

D

2-x/2

E
Q54

For what range of value of x is 4x - 3(2x - 1) > 1?

A

x > -1

B

x > 1

C

x< 1

D

x < -1

E
Q55

Find the smallest value of such that 2 x 3 x 5 x k is a perfect square

A

3

B

5

C

15

D

30

E
Q56

Simplify: x-4/4 - x-3/6

A

x-18/12

B

x-6/12

C

x-18/24

D

x-6/24

E
Q57

Given that y = 1 - 2x/4x-3, find the value of x for which y is undefined

A

3

B

3/4

C

-3/4

D

-3

E
Q58

The 30% of y is equal to x, what in terms of x, is 30% of 3y?

A

x/9

B

x/3

C

x

D

3x

E
Q59

What must be added to x - 3x to make it a perfect square?

A

9/4

B

9/2

C

6

D

9

E
Q60

Given that (2x - 1)(x + 5) = 2x - mx - 5, what is the value of m?

A

11

B

5

C

-9

D

-10

E