T-Leng Tuition · mugcornersg.com
Total: 30 marksSuggested time: 50 minutes
Name: ______________________________Class: ____________ Date: ____________
Answer all questions. Show all your working. Give non-exact answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless the question says otherwise.
Section A
1(a)Expand and simplify 4(x−4y)−2(3x+2y). Answer (a)[1]
(b)Expand and simplify 4(5x−6y)−5(3x+4y). Answer (b)[1]
2(a)Simplify 5x2−3x−3xy−8x2−2x+2xy. Answer (a)[1]
(b)Simplify 3x2+3x−3xy−7x2+3x−5yx. Answer (b)[1]
3(a)Write down an algebraic expression for x subtracted from 4. Answer (a)[1]
(b)Write down an algebraic expression for add 9 to x. Answer (b)[1]
4(a)Given that x=21 and y=32, find the value of 2x2+4y. Answer (a)[2]
(b)Given that x=4 and y=−4, find the value of 4y4x−y. Answer (b)[2]
Section B
5(a)(i)Expand and simplify −5(5x+4). Answer (a)(i)[1]
(a)(ii)Expand and simplify 4(5x+7)+5(4x+4). Answer (a)(ii)[1]
(b)(i)Simplify 8x−2y+2−5x+5y−9. Answer (b)(i)[1]
(b)(ii)Simplify −9x−4y+9+8x−4y−4. Answer (b)(ii)[1]
(c)(i)Write down an algebraic expression for the sum of h and k. Answer (c)(i)[1]
(c)(ii)Nurul is y years old. Nurul's father is 4 times as old as Nurul. Write down an expression, in terms of y, for the father's age in 5 years' time. Answer (c)(ii)[1]
6(a)(i)Simplify 6x+2y+2x−5y. Answer (a)(i)[1]
(a)(ii)Simplify −2x+3y+3−7x−8y+4. Answer (a)(ii)[1]
(b)Given that x=6 and y=1, find the value of 3x−2y. Answer (b)[2]
(c)(i)Expand and simplify 4(4x−8)−4(x−5). Answer (c)(i)[1]
(c)(ii)Expand and simplify 3(2x+3y)+5(2x−6y). Answer (c)(ii)[1]
7(a)(i)Expand and simplify 3(4x+3)−2(5x+7). Answer (a)(i)[1]
(a)(ii)Expand and simplify 2(5x+5y)−5(5x−4y). Answer (a)(ii)[1]
(b)(i)Write down an algebraic expression for add 8 to t. Answer (b)(i)[1]
(b)(ii)Write down an algebraic expression for m divided by 3, then increased by 3. Answer (b)(ii)[1]
(c)(i)Simplify 5x−4y−4x−y. Answer (c)(i)[1]
(c)(ii)Simplify −7x−3y−3+2x+y+7. Answer (c)(ii)[1]
(d)Given that x=3 and y=3, find the value of 5xy−3. Answer (d)[2]
END OF PAPER
Question 1
(a)Answer: =−2x−20y[1] 4(x−4y)−2(3x+2y)=4x−16y−6x−4y=−2x−20y (b)Answer: =5x−44y[1] 4(5x−6y)−5(3x+4y)=20x−24y−15x−20y=5x−44y Question 2
(a)Answer: =−3x2−5x−xy[1] =5x2−8x2−3x−2x−3xy+2xy=−3x2−5x−xy (b)Answer: =−4x2+6x−8xy[1] =3x2−7x2+3x+3x−3xy−5yx=−4x2+6x−8xy Question 3
(a)Answer: 4−x[1] “x subtracted from 4” means start with 4 and take away x.4−x (b)Answer: x+9[1] “Add 9 to x” means start with x and add 9.x+9 Question 4
(a)Answer: =619[2] 2x2+4y=2(21)2+4(32)=21+38=619 (b)Answer: =−45[2] 4y4x−y=4(−4)4(4)−(−4)=−1620=−45 Question 5
(a)(i)Answer: −5(5x+4)=−25x−20[1] −5(5x+4)=−25x−20 (a)(ii)Answer: =40x+48[1] 4(5x+7)+5(4x+4)=20x+28+20x+20=40x+48 (b)(i)Answer: =3x+3y−7[1] =8x−5x−2y+5y+2−9=3x+3y−7 (b)(ii)Answer: =−x−8y+5[1] =−9x+8x−4y−4y+9−4=−x−8y+5 (c)(i)Answer: h+k[1] “The sum of” means add.h+k (c)(ii)Answer: 4y+5[1] Question 6
(a)(i)Answer: =8x−3y[1] =6x+2x+2y−5y=8x−3y (a)(ii)Answer: =−9x−5y+7[1] =−2x−7x+3y−8y+3+4=−9x−5y+7 3x−2y=3(6)−2(1)=18−2=16 (c)(i)Answer: =12x−12[1] 4(4x−8)−4(x−5)=16x−32−4x+20=12x−12 (c)(ii)Answer: =16x−21y[1] 3(2x+3y)+5(2x−6y)=6x+9y+10x−30y=16x−21y Question 7
(a)(i)Answer: =2x−5[1] 3(4x+3)−2(5x+7)=12x+9−10x−14=2x−5 (a)(ii)Answer: =−15x+30y[1] 2(5x+5y)−5(5x−4y)=10x+10y−25x+20y=−15x+30y (b)(i)Answer: t+8[1] “Add 8 to t” means start with t and add 8.t+8 (b)(ii)Answer: 3m+3[1] 3m3m+3 (c)(i)Answer: =x−5y[1] =5x−4x−4y−y=x−5y (c)(ii)Answer: =−5x−2y+4[1] =−7x+2x−3y+y−3+7=−5x−2y+4 5xy−3=5(3)(3)−3=45−3=42