Write an expression for each statement. Use p, m or y for the unknown number as shown.
(a)6 more than p(1)
(b)treble m, then add 4(1)
(c)the cost, in pounds, of y stickers at 25p each(1)
(Total for Question 7 is 3 marks)
8
Expand 4(x + 5).
A) 4x + 5
B) x + 20
C) 4x + 20
D) 9x
E) 4x + 9
(Total for Question 8 is 1 mark)
9
Expand -3(y + 2).
A) -3y + 6
B) 3y - 6
C) -3y - 6
D) y - 6
E) -3y - 2
(Total for Question 9 is 1 mark)
10
Expand and simplify 4(x + 3) + 2(x - 6).
(Total for Question 10 is 2 marks)
11
Solve 3x + 4 = 19.
A) -5
B) 15
C) 23
D) 5
E) 6
(Total for Question 11 is 1 mark)
12
Solve 2n + 9 = 1.
A) 5
B) -8
C) 4
D) -5
E) -4
(Total for Question 12 is 1 mark)
13
Factorise 8x + 12 fully.
A) 2(4x + 6)
B) 4(2x + 12)
C) 4x(2 + 3)
D) 4(2x + 3)
E) 4(x + 3)
(Total for Question 13 is 1 mark)
14
Here is a number sequence: 4, 10, 16, 22, ...
(a)State the next two terms of this sequence.(2)
(b)Describe the rule for getting from one term to the next.(1)
(c)Calculate the 15th term of the sequence.(2)
(Total for Question 14 is 5 marks)
15
A sequence has nth term 5n - 2. Work out the 8th term.
A) 40
B) 30
C) -11
D) 38
E) 36
(Total for Question 15 is 1 mark)
16
Solve 6x - 5 = 3x + 10.
A) -5
B) 15
C) 5
D) 3
E) 1
(Total for Question 16 is 1 mark)
17
Solve (3x + 1)/4 = 7.
A) 2
B) 8
C) 21
D) 9
E) 10
(Total for Question 17 is 1 mark)
18
Ahmed thinks of a number. He multiplies it by 4, then subtracts 7. His result is 25. Let n be Ahmed's number.
(a)Form an equation in n that models this information.(1)
(b)Solve this equation to find the value of n.(2)
(Total for Question 18 is 3 marks)
19
Solve x - 5 < 3.
A) x < -2
B) x > 8
C) x < 8
D) x < 3
E) x < 13
(Total for Question 19 is 1 mark)
20
List all the integer values of x that satisfy -3 < x ≤ 2.
(Total for Question 20 is 2 marks)
21
A rectangle has length (2x + 1) cm and width (x + 4) cm. The perimeter of the rectangle is 40 cm.
Diagram NOT accurately drawn
(a)Show that 6x + 10 = 40.(2)
(b)Solve this equation to find x.(2)
(c)Calculate the length and the width of the rectangle.(2)
(Total for Question 21 is 6 marks)
22
Solve 11 - 3x > 2.
A) x > 3
B) x < 9
C) x > 9
D) x < 3
E) x > -3
(Total for Question 22 is 1 mark)
23
The sum of three consecutive even numbers is 90. Let the smallest of the three even numbers be n.
(a)Write an expression, in terms of n, for the sum of the three consecutive even numbers.(1)
(b)Set up and solve an equation to find n.(2)
(c)State the three consecutive even numbers.(1)
(Total for Question 23 is 4 marks)
24
A cinema charges (2x + 1) pounds for an adult ticket and (x - 2) pounds for a child ticket. Fatima buys 3 adult tickets and 2 child tickets. The total cost is 47 pounds.
(a)Form an equation in x to represent the total cost.(1)
(b)Solve your equation to find the value of x.(2)
(c)Find the cost of one adult ticket and the cost of one child ticket.(2)
(Total for Question 24 is 5 marks)
Mark scheme · EP.M14B Early Algebra: Practice Set 2