Solve the following/ Selesaikan yang berikut x + 2 y + z = 3 x+2y+z=3 x + 2 y + z = 3 2 x − y + 3 z = 13 2x-y+3z=13 2 x − y + 3 z = 1 3 2 x + 3 y + 4 z = 11 2x+3y+4z=11 2 x + 3 y + 4 z = 1 1

x = 3 , x=3, x = 3 , y = − 1 , y=-1, y = − 1 , z = 2 z=2 z = 2

x = − 1 , x=-1, x = − 1 , y = 3 , y=3, y = 3 , z=2 z = 2

x=3, x = 3 , y = 2 , y=2, y = 2 , z = − 1 z=-1 z = − 1

x = 2 , x=2, x = 2 , y=-1, y = − 1 , z = 3 z=3 z = 3

Simplify the following in the form/ Permudahkan yang berikut dalam bentuk a b a\sqrt{b} a b <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> . 2 50 − 3 2 2\sqrt{50}-3\sqrt{2} 2 5 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 3 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

7 2 7\sqrt{2} 7 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

4 2 4\sqrt{2} 4 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

5 2 5\sqrt{2} 5 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

6 2 6\sqrt{2} 6 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Convert/Tukar log ⁡ 4 T \log_4T lo g 4 T to the base 2/kepada asas 2

log ⁡ 2 T 2 \frac{\log_2T}{2} 2 lo g 2 T

log ⁡ 4 T 4 \frac{\log_4T}{4} 4 lo g 4 T

log ⁡ 2 T 4 \frac{\log_2T}{4} 4 lo g 2 T

log ⁡ 4 T 2 \frac{\log_4T}{2} 2 lo g 4 T

Determine whether the following sequences is a Geometric progression (G.P.) Tentukan sama ada jujukan yang berikut adalah Janjang geometri atau bukan 2 , 6 , 18 , 54 , . . . 2,\ 6,\ 18,\ 54,... 2 , 6 , 1 8 , 5 4 , . . .

This sequence is a G.P/ Janjang geometri

This sequence is not a G.P/Bukan janjang geometri

Given two terms of an arithmetic progression, find the first term, a, and the common difference, d. Diberi dua sebutan bagi suatu janjang aritmetik, cari sebutan pertama, a dan beza sepunya, d f i f t h t e r m i s − 17 fifth\ term\ is\ -17 f i f t h t e r m i s − 1 7 e l e v e n t h t e r m i s − 65 eleventh\ term\ is\ -65 e l e v e n t h t e r m i s − 6 5

a = 15 & d = − 8 a=15\ \&\ d=-8 a = 1 5 & d = − 8

a = − 8 & d = 15 a=-8\ \&\ d=15 a = − 8 & d = 1 5

a = 8 & d = − 15 a=8\ \&\ d=-15 a = 8 & d = − 1 5

a = − 15 & d = 8 a=-15\ \&\ d=8 a = − 1 5 & d = 8

ADDMATH F4 KSSM

Authored by fera wann

Mathematics

11th - 12th Grade

CCSS covered

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18 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

State the range of the following diagram

Nyatakan julat bagi rajah di sebelah

$\left\{2,\ 3,\ 4,\ 5\right\}\$

$\left\{\frac{1}{2},\ \frac{1}{3},\ \frac{1}{4},\ \frac{1}{5},\ 0\right\}$

$\left\{\frac{1}{2},\ \frac{1}{3},\ \frac{1}{4},\ \frac{1}{5}\right\}$

$\left\{0\right\}$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

State the range of the following

Nyatakan julat bagi yang berikut

$0\le x\le3$

$0\le f\left(x\right)\le4$

$0\le f\left(x\right)\le3$

$0\le x\le4$

FILL IN THE BLANK QUESTION

3 mins • 1 pt

A function is defined by h(x)=6x-5.
Find the image of object 2
Suatu fungsi diberi sebagai h(x) = 6x - 5
Cari imej bagi objek 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the composite function fg based on the function f and g given.

Cari fungsi gubahan fg berdasarkan fungsi f dan g yang diberi

$f\left(x\right)=x^2-4x+3$

$g\left(x\right)=-5x$

$25x^2+20x+3$

$-25x^2+20x+3$

$25x^2-20x+3$

$25x^2+20x-3$

Tags

CCSS.HSF-BF.A.1C

MULTIPLE SELECT QUESTION

5 mins • 1 pt

$g^{-1}\left(x\right)=\frac{x+4}{x-4}$
Find the g based on the given inverse function.

Cari fungsi g berdasarkan fungsi sonsangan yang diberi

$\frac{x-4}{x+4}$

$\frac{4x+4}{x-1}$

$\frac{x+1}{4x-4}$

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the following/ Selesaikan yang berikut
$x+2y+z=3$
$2x-y+3z=13$
$2x+3y+4z=11$

$x=-1,$ $y=3,$ $z=2$

$x=3,$ $y=2,$ $z=-1$

$x=3,$ $y=-1,$ $z=2$

$x=2,$ $y=-1,$ $z=3$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$2x+3y=5$

State whether the following equation is linear or a non-linear equation

Nyatakan sama ada persamaan berikut adalah liear atau bukan linear

Linear equation/ Persamaan linear

Non linear equation/ Persamaan bukan linear

Tags

CCSS.8.F.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\frac{2}{x}+2y=x$

State whether the following equation is linear or a non-linear equation

Nyatakan sama ada persamaan berikut adalah liear atau bukan linear

Linear equation/ Persamaan linear

Non linear equation/ Persamaan bukan linear

Tags

CCSS.8.F.A.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$x+3y=5$
$x^2+2y^2=6$
Selesaikan

$x=\frac{2}{11},\ y=\frac{-19}{11}\ or\ x=2,\ y=1$

$x=\frac{19}{11},\ y=\frac{-2}{11}\ or\ x=1,\ y=2$

$x=\frac{-2}{11},\ y=\frac{19}{11}\ or\ x=1,\ y=2$

$x=\frac{-2}{11},\ y=\frac{19}{11}\ or\ x=2,\ y=1$

Tags

CCSS.HSA.REI.C.7

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the following in the form/ Permudahkan yang berikut dalam bentuk $a\sqrt{b}$ .

$2\sqrt{50}-3\sqrt{2}$

$4\sqrt{2}$

$5\sqrt{2}$

$6\sqrt{2}$

$7\sqrt{2}$

Tags

CCSS.HSN.RN.A.2

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ADDMATH F4 KSSM

State the range of the following diagram Nyatakan julat bagi rajah di sebelah

State the range of the followingNyatakan julat bagi yang berikut

A function is defined by h(x)=6x-5.Find the image of object 2Suatu fungsi diberi sebagai h(x) = 6x - 5Cari imej bagi objek 2

Find the composite function fg based on the function f and g given.Cari fungsi gubahan fg berdasarkan fungsi f dan g yang diberi f(x)=x2−4x+3f\left(x\right)=x^2-4x+3f(x)=x2−4x+3 g(x)=−5xg\left(x\right)=-5xg(x)=−5x

g−1(x)=x+4x−4g^{-1}\left(x\right)=\frac{x+4}{x-4}g−1(x)=x−4x+4​ Find the g based on the given inverse function.Cari fungsi g berdasarkan fungsi sonsangan yang diberi

Solve the following/ Selesaikan yang berikut x+2y+z=3x+2y+z=3x+2y+z=3 2x−y+3z=132x-y+3z=132x−y+3z=13 2x+3y+4z=112x+3y+4z=112x+3y+4z=11

2x+3y=52x+3y=52x+3y=5 State whether the following equation is linear or a non-linear equationNyatakan sama ada persamaan berikut adalah liear atau bukan linear

2x+2y=x\frac{2}{x}+2y=xx2​+2y=x State whether the following equation is linear or a non-linear equationNyatakan sama ada persamaan berikut adalah liear atau bukan linear

x+3y=5x+3y=5x+3y=5 x2+2y2=6x^2+2y^2=6x2+2y2=6 Selesaikan

Simplify the following in the form/ Permudahkan yang berikut dalam bentuk aba\sqrt{b}ab​ . 250−322\sqrt{50}-3\sqrt{2}250​−32​

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State the range of the following diagram

Nyatakan julat bagi rajah di sebelah

State the range of the following

Nyatakan julat bagi yang berikut

A function is defined by h(x)=6x-5.
Find the image of object 2
Suatu fungsi diberi sebagai h(x) = 6x - 5
Cari imej bagi objek 2

Find the composite function fg based on the function f and g given.

Cari fungsi gubahan fg berdasarkan fungsi f dan g yang diberi

$f\left(x\right)=x^2-4x+3$

$g\left(x\right)=-5x$

$g^{-1}\left(x\right)=\frac{x+4}{x-4}$
Find the g based on the given inverse function.

Cari fungsi g berdasarkan fungsi sonsangan yang diberi

Solve the following/ Selesaikan yang berikut
$x+2y+z=3$
$2x-y+3z=13$
$2x+3y+4z=11$

$2x+3y=5$

State whether the following equation is linear or a non-linear equation

Nyatakan sama ada persamaan berikut adalah liear atau bukan linear

$\frac{2}{x}+2y=x$

State whether the following equation is linear or a non-linear equation

Nyatakan sama ada persamaan berikut adalah liear atau bukan linear

$x+3y=5$
$x^2+2y^2=6$
Selesaikan

Simplify the following in the form/ Permudahkan yang berikut dalam bentuk $a\sqrt{b}$ .

$2\sqrt{50}-3\sqrt{2}$