Question

and find the missing values.
1)

x	9		5
y	36	16		8

2)

x		6	15	9
y	4	2

3)

x	12		30	48
y		3		8

4)

x			4
y	25	40	20	60

5)

x	7	11	4
y			32	24

6)

x		14
y	21	6	15	3

7)

x		5		30
y	14		6	12

8)

x	3	4		7
y	18		54

Explanation:

1)

Step1: Find x-y relationship

From $x=9, y=36$: $y=4x$ or $x=\frac{y}{4}$

Step2: Find missing x (y=16)

$x=\frac{16}{4}=4$

Step3: Find missing y (x=5)

$y=4\times5=20$

Step4: Find missing x (y=8)

$x=\frac{8}{4}=2$

2)

Step1: Find x-y relationship

From $x=6, y=2$: $y=\frac{x}{3}$ or $x=3y$

Step2: Find missing x (y=4)

$x=3\times4=12$

Step3: Find missing y (x=15)

$y=\frac{15}{3}=5$

Step4: Find missing y (x=9)

$y=\frac{9}{3}=3$

3)

Step1: Find x-y relationship

From $x=48, y=8$: $\frac{x}{y}=6$ → $x=6y$ or $y=\frac{x}{6}$

Step2: Find missing y (x=12)

$y=\frac{12}{6}=2$

Step3: Find missing x (y=3)

$x=6\times3=18$

Step4: Find missing y (x=30)

$y=\frac{30}{6}=5$

4)

Step1: Find x-y relationship

From $x=4, y=20$: $x\times y=80$ (inverse variation)

Step2: Find missing x (y=25)

$x=\frac{80}{25}=3.2$

Step3: Find missing x (y=40)

$x=\frac{80}{40}=2$

Step4: Find missing x (y=60)

$x=\frac{80}{60}=\frac{4}{3}\approx1.33$

5)

Step1: Find x-y relationship

From $x=4, y=32$: $x\times y=128$ (inverse variation)

Step2: Find missing y (x=7)

$y=\frac{128}{7}\approx18.29$

Step3: Find missing y (x=11)

$y=\frac{128}{11}\approx11.64$

Step4: Find missing x (y=24)

$x=\frac{128}{24}=\frac{16}{3}\approx5.33$

6)

Step1: Find x-y relationship

From $x=14, y=6$: $x\times y=84$ (inverse variation)

Step2: Find missing x (y=21)

$x=\frac{84}{21}=4$

Step3: Find missing x (y=15)

$x=\frac{84}{15}=5.6$

Step4: Find missing x (y=3)

$x=\frac{84}{3}=28$

7)

Step1: Find x-y relationship

From $x=30, y=12$: $x\times y=360$ (inverse variation)

Step2: Find missing x (y=14)

$x=\frac{360}{14}=\frac{180}{7}\approx25.71$

Step3: Find missing y (x=5)

$y=\frac{360}{5}=72$

Step4: Find missing x (y=6)

$x=\frac{360}{6}=60$

8)

Step1: Find x-y relationship

From $x=3, y=18$: $y=6x$

Step2: Find missing y (x=4)

$y=6\times4=24$

Step3: Find missing x (y=54)

$x=\frac{54}{6}=9$

Step4: Find missing y (x=7)

$y=6\times7=42$

Answer:

1. Missing values: $x=4$, $y=20$, $x=2$
2. Missing values: $x=12$, $y=5$, $y=3$
3. Missing values: $y=2$, $x=18$, $y=5$
4. Missing values: $x=3.2$, $x=2$, $x=\frac{4}{3}$
5. Missing values: $y=\frac{128}{7}$, $y=\frac{128}{11}$, $x=\frac{16}{3}$
6. Missing values: $x=4$, $x=5.6$, $x=28$
7. Missing values: $x=\frac{180}{7}$, $y=72$, $x=60$
8. Missing values: $y=24$, $x=9$, $y=42$