The document provides the answers and working for an algebra assessment. It includes 6 multiple choice questions worth 1-3 marks each on simplifying expressions, expanding expressions, solving equations, solving inequalities, and solving word problems. It also includes a question worth 4 marks requiring trial and error to solve an equation between 2 and 3 to 1 decimal place. The total marks for the assessment are 35. The student's score is shown as M1-M6 for each question, with a total score of 35/35.

1. Grade Boundaries for this
assessment:
C 23 - 35 marks;
D 17 - 22 marks;
E 11 - 16 marks;
F 5 - 10 marks;
G 1 - 4 marks.
My score:
My grade:
WWW (What I did well in
this assessment):
EBI (What I need to do to
improve my score):

2. Algebra assessment
1. Simplify these expressions:
a) 3t + 2s + t +5s .................................
(2)
b) 6y + 4 -2y -1 .................................
(2)
c) 7t + 5d -3t –d .................................
(2)
(Total 6 marks)
2. Expand the following:
a) 5(2x – 7)
.................................
(2)
b) 4(6t – 12)
.................................
(2)
c) 2(3f + 5g)
.................................
(2)
d) x(x + 2y)
.................................
(2)
(Total 8 marks)

3. 3. Solve the following:
a) x + 4 = 10 x = ..........................
(1)
b) 4y = 20 y = ..........................
(1)
c) 19 – m = 12 m = ..........................
(1)
d) 4x + 1 = 9
x = ........................................
(2)
e) 2y – 1 = 12
y = ........................................
(2)
(Total 7 marks)
4. Solve the following inequalities:
a) x + 4 ≥ 7
.................................
(1)
b) 2x – 3 ≤ 7
.................................
(2)
c) 5(2x + 1) ≤ 35
.................................
(3)
(Total 6 marks)

4. 5. Solve the following:
a) Solve 2(y – 3) = 8.
y = ..............................
(2)
(b) Solve 4x + 1 = 2x +12.
x = .............................
(2)
(Total 4 marks)
6. The equation x3
+ 2x = 26 has a solution between 2 and 3
Use a trial and improvement method to find this solution.
Give your answer correct to one decimal place.
You must show all your working.
x = ..................................
(Total 4 marks)
(TOTAL FOR ASSESSMENT = 35 marks)

5. M1.
Working Answers Mark Additional Guidance
(a) 4t + 7s 2 M1 for 4t or 7s
(b) 4y + 3 2 M1 for 4y or 3
(c) 4t + 4d 2 M1 for 4t or 4d
Total for Question: 6 marks
M2.
Working Answers Mark Additional Guidance
(a) 5 x 2x -7 x 5 10x - 35 2
(b) 4 x 6t -12 x 4 24t - 48 2
(c) 2 x 3f + 2 x 5g 6f + 10g 2
(d) x multiply x + x
multiply 2y
x2
+ 2xy 2
Total for Question: 8 marks
M3.
Answer Mark Additional Guidance
(a) 6 1 B1 cao
(b) 5 1 B1 cao
(c) 7 1 B1 cao
Working Answer Mark Additional Guidance
(d) 4x = 9 – 1 2 2 M1 for 4x = 9 – 1 or a clear intention to either subtract 1 from both
sides of the equation or to divide each term by 4
A1 for 2
(e) 2y = 12 + 1 6.5 2 M1 2y = 12 + 1 or a clear intention to either add 1 to both sides of the
equation or divide each term by 2
A1 6.5 oe
Total for Question: 7 marks

6. M4.
Working Answer Mark Additional Guidance
(a) x ≥ 3 1
(b) 2x ≤ 10 x ≤ 5 2
(c) 10x + 5 ≤ 35
10x ≤ 30
x ≤ 3 3
Total for Question: 6 marks
M5.
Working Answer Mark Additional Guidance
(a) 7 2 M1 for 2y – 6 = 8
A1 cao
(b) 4x – 2x = 12 – 1 5.5 2 M1 4x – 2x = 12 – 1 oe
A1 5.5 oe
Total for Question: 4 marks
M6.
Working Answer Mark Additional Guidance
2 → 12
3 → 33
2.5 → 20.(625)
2.1 → 13.(461) 2.6 → 22.(776)
2.2 → 15.(048) 2.7 → 25.(083)
2.3 → 16.(767) 2.8 → 27.(5(52)
2.4 → 18.(624) 2.9 → 30.(189)
2.75 → 26.2(96)
2.7 4 B2 for trial between 2.7 and 2.8 inclusive
(B1 for trial between 2 and 3 inclusive)
B1 for different trial between 2.73 and 2.75
inclusive
B1 (dep on at least one previous B1) for 2.7
only
NB trials where x has 1 d.p should be rounded
or truncated to at least 2SF
Total for Question: 4 marks

7. M4.
Working Answer Mark Additional Guidance
(a) x ≥ 3 1
(b) 2x ≤ 10 x ≤ 5 2
(c) 10x + 5 ≤ 35
10x ≤ 30
x ≤ 3 3
Total for Question: 6 marks
M5.
Working Answer Mark Additional Guidance
(a) 7 2 M1 for 2y – 6 = 8
A1 cao
(b) 4x – 2x = 12 – 1 5.5 2 M1 4x – 2x = 12 – 1 oe
A1 5.5 oe
Total for Question: 4 marks
M6.
Working Answer Mark Additional Guidance
2 → 12
3 → 33
2.5 → 20.(625)
2.1 → 13.(461) 2.6 → 22.(776)
2.2 → 15.(048) 2.7 → 25.(083)
2.3 → 16.(767) 2.8 → 27.(5(52)
2.4 → 18.(624) 2.9 → 30.(189)
2.75 → 26.2(96)
2.7 4 B2 for trial between 2.7 and 2.8 inclusive
(B1 for trial between 2 and 3 inclusive)
B1 for different trial between 2.73 and 2.75
inclusive
B1 (dep on at least one previous B1) for 2.7
only
NB trials where x has 1 d.p should be rounded
or truncated to at least 2SF
Total for Question: 4 marks