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)Simplify 6x−5y+3x−y. Answer (a)[1]
(b)Simplify 5x2+2x−4xy+2x2−4x+9yx. Answer (b)[1]
2(a)Expand and simplify 4(2x−3)+2(3x+1). Answer (a)[1]
(b)Expand and simplify 3(5x−8)+6(5x+8). Answer (b)[1]
3Given that x=3 and y=6, find the value of 2x+3y. Answer[2]
4Given that x=6 and y=3, find the value of 5x2+5y. Answer[2]
5(a)Simplify 9x−8xy−2x+yx. Answer (a)[1]
(b)Simplify x−2xy+4x−5yx. Answer (b)[1]
6(a)Expand and simplify 3(x−2)+3(x+9). Answer (a)[1]
(b)Expand and simplify 3(x−6)−5(x−9). Answer (b)[1]
7(a)Given that x=−1 and y=−6, find the value of 5x−5y. Answer (a)[2]
(b)Given that x=−2 and y=−3, find the value of 4x2+5y. Answer (b)[2]
Section B
8(a)Given that x=−1 and y=6, find the value of 4xy−5. Answer (a)[2]
(b)(i)Simplify 2x+2−4x+1. Answer (b)(i)[1]
(b)(ii)Simplify 7x2−3x−8x2+x. Answer (b)(ii)[1]
(c)(i)Expand and simplify −3(x−7). Answer (c)(i)[1]
(c)(ii)Expand and simplify 3(4x+3)−2(5x+7). Answer (c)(ii)[1]
9(a)(i)Expand and simplify −2(3x+1). Answer (a)(i)[1]
(a)(ii)Expand and simplify 5(3x+5)+6(4x−2). Answer (a)(ii)[1]
(b)(i)Simplify 6x−1+3x+6. Answer (b)(i)[1]
(b)(ii)Simplify 5x2−4x+4xy−3x2+x−8yx. Answer (b)(ii)[1]
(c)(i)Given that x=2 and y=−4, find the value of 5xy−5. Answer (c)(i)[2]
(c)(ii)Given that x=−5 and y=−4, find the value of 4xy−2. Answer (c)(ii)[2]
END OF PAPER
Question 1
(a)Answer: =9x−6y[1] =6x+3x−5y−y=9x−6y (b)Answer: =7x2−2x+5xy[1] =5x2+2x2+2x−4x−4xy+9yx=7x2−2x+5xy Question 2
(a)Answer: =14x−10[1] 4(2x−3)+2(3x+1)=8x−12+6x+2=14x−10 (b)Answer: =45x+24[1] 3(5x−8)+6(5x+8)=15x−24+30x+48=45x+24 Question 3
2x+3y=2(3)+3(6)=6+18=24 Question 4
5x2+5y=5(6)2+5(3)=180+15=195 Question 5
(a)Answer: =7x−7xy[1] =9x−2x−8xy+yx=7x−7xy (b)Answer: =5x−7xy[1] =x+4x−2xy−5yx=5x−7xy Question 6
(a)Answer: =6x+21[1] 3(x−2)+3(x+9)=3x−6+3x+27=6x+21 (b)Answer: =−2x+27[1] 3(x−6)−5(x−9)=3x−18−5x+45=−2x+27 Question 7
5x−5y=5(−1)−5(−6)=−5+30=25 4x2+5y=4(−2)2+5(−3)=16−15=1 Question 8
(a)Answer: =−29[2] 4xy−5=4(−1)(6)−5=−24−5=−29 (b)(i)Answer: =−2x+3[1] =2x−4x+2+1=−2x+3 (b)(ii)Answer: =−x2−2x[1] =7x2−8x2−3x+x=−x2−2x (c)(i)Answer: −3(x−7)=−3x+21[1] −3(x−7)=−3x+21 (c)(ii)Answer: =2x−5[1] 3(4x+3)−2(5x+7)=12x+9−10x−14=2x−5 Question 9
(a)(i)Answer: −2(3x+1)=−6x−2[1] −2(3x+1)=−6x−2 (a)(ii)Answer: =39x+13[1] 5(3x+5)+6(4x−2)=15x+25+24x−12=39x+13 (b)(i)Answer: =9x+5[1] =6x+3x−1+6=9x+5 (b)(ii)Answer: =2x2−3x−4xy[1] =5x2−3x2−4x+x+4xy−8yx=2x2−3x−4xy (c)(i)Answer: =−45[2] 5xy−5=5(2)(−4)−5=−40−5=−45 (c)(ii)Answer: =78[2] 4xy−2=4(−5)(−4)−2=80−2=78