Write down the expression for: a number y increased by 8.
(1)
2
Write down the expression for: five times a number m.
(1)
3
Write down the expression for: the product of 7 and a number k.
(1)
4
Write down the expression for: a number q divided by 6.
(1)
5
State the coefficient of x in 9x.
(1)
6
State the coefficient of a in -5a + 3.
(1)
7
Find the value of 4x when x = 3.
(1)
8
Simplify 6x + 3x - 2x.
(2)
9
Use algebraic notation to write: the product of 5 and the number p.
(2)
10
Write an algebraic expression for: three lots of a number w.
(2)
11
In the expression 6a - 8, identify the two terms.
(2)
12
Work out the value of 3y - 4 when y = -2.
(2)
13
In 11p + 4, state the coefficient of p and the constant term.
(2)
14
Simplify 5x + 3 + 2x - 7.
(3)
15
A plumber charges a call-out fee of 25 pounds plus 15 pounds for every hour worked. Write an expression for the total charge for h hours, then find the charge for a 3-hour job.
(3)
16
Compare the expressions 4x - 1 and 2x + 5 when x = 4. State which is greater and give a reason.
(3)
17
A rectangle has length (n + 4) and width n. Write an algebraic expression for its perimeter, then find its value when n = 5.
(4)
18
A number t is trebled, then 4 is added. The result is the same as adding 22 to t. Write an equation using this information, and find the value of t.
(4)
19
Stretch. Two expressions are 2x + 7 and 5x - 8. For what value of x are the two expressions equal? Substitute your answer back in to check, and state the common value.
(4)
Mark scheme · KS3.M-A4D Introduction to Algebraic Notation: Fluency and Exam Drill
Question 1
B1 y + 8 cao
Answer: y + 8
Question 2
B1 5m cao
Answer: 5m
Question 3
B1 7k cao
Answer: 7k
Question 4
B1 q/6 cao
Answer: q/6
Question 5
B1 9 cao
Answer: 9
Question 6
B1 -5 cao
Answer: -5
Question 7
B1 12 cao
Answer: 12
Question 8
M1 collects the like terms correctly
A1 7x cao
Answer: 7x
Question 9
M1 uses multiplication notation such as 5p or 5 x p
A1 5p cao
Answer: 5p
Question 10
M1 recognises 'three lots of' means 3 times w
A1 3w cao
Answer: 3w
Question 11
M1 identifies both parts as separate terms
A1 6a and -8 cao
Answer: 6a and -8
Question 12
M1 substitutes y = -2 correctly, e.g. 3(-2) - 4
A1 -10 cao
Answer: -10
Question 13
M1 correctly identifies the coefficient
A1 coefficient 11, constant 4 cao
Answer: coefficient 11, constant 4
Question 14
M1 collects the x terms correctly, e.g. 5x + 2x = 7x
M1 collects the constants correctly, e.g. 3 - 7 = -4
A1 7x - 4 cao
Answer: 7x - 4
Question 15
B1 25 + 15h or 15h + 25 cao
M1 substitutes h = 3 correctly
A1 70 pounds cao
Answer: 25 + 15h; the charge for 3 hours is 70 pounds
Question 16
M1 substitutes x = 4 into both expressions correctly (4x - 1 = 15 and 2x + 5 = 13 or equivalent working)
A1 states 4x - 1 is greater cao
A1 gives correct reason: 15 > 13
Answer: 4x - 1 is greater
Question 17
M1 correct setup, e.g. 2((n + 4) + n)
A1 4n + 8 cao
M1 substitutes n = 5 correctly
A1 28 cao
Answer: 4n + 8; when n = 5 the perimeter is 28
Question 18
M1 writes 'trebled then 4 added' as 3t + 4
M1 forms the full equation 3t + 4 = t + 22
M1 correct rearrangement, e.g. 2t = 18
A1 t = 9 cao
Answer: 3t + 4 = t + 22; t = 9
Question 19
M1 sets the two expressions equal, e.g. 2x + 7 = 5x - 8