Unit 4 Name: Date: Integrated Math 4G: HMWK

Unit 4: Solving Rational Equations – Days 1-3 Homework

Day 1 Homework – LCM Method Green Notes (#1-5) Solve each rational equation for 𝑥.

1) 1

6𝑥2 = 13𝑥2 − 1

𝑥 2)

16𝑥2 + 1

3𝑥= 1

𝑥2 3) 𝑥+64𝑥2 + 3

2𝑥2 = 𝑥+42𝑥2

4) 1

𝑥2−𝑥+ 1

𝑥= 5

𝑥2−𝑥 5)

1𝑥−8

− 1 = 142𝑥−16

Day 2 Homework – Cross Multiply Method Yellow Notes (#1-6) Solve each equation for 𝑥 by cross multiplying. 1)

𝑥5

= 𝑥+38

2)

43𝑥+3

= 12𝑥2−1

3)

2𝑥−1

= 𝑥+43

4)

62𝑥+9

= 106𝑥+7

5)

23𝑥−5

= 4𝑥−15

6)

2𝑥2 = 1

3𝑥−4

Day 3 Homework – Literal Equations Pink Notes (#1-10) Solve each equation for the given variable. 1) 𝑉 = 𝑙𝑤ℎ ; for 𝑤 2) 𝑉 = 𝜋𝑟2ℎ ; for ℎ 3) 𝐴 = 1

2𝑏ℎ ; for ℎ

4) 𝑎𝑥 + 𝑏𝑥 = 𝑐 ; for 𝑥 5) 𝑏𝑥 − 𝑐𝑥 = 𝑎 ; for 𝑥 6) 𝑥

𝑎+ 8 = 𝑐 ; for 𝑥

7) 𝑥

𝑎= 𝑐 − 𝑏 ; for 𝑥 8) 𝑀 = 2𝐸

𝑉2 ; for 𝐸 9) 𝐿𝑡2 = 𝑔

4𝜋2 ; for 𝐿 10) 𝐹 = 9

5𝐶 + 32 ; for 𝐶

Unit 4 – Day 1 Name: Date: Integrated Math 4G: HMWK

Solving Rational Equations – LCM Method

(#1-5) Solve each rational equation for 𝑥.

1) 16𝑥2

= 13𝑥2

− 1𝑥

2) 16𝑥2

+ 13𝑥= 1

𝑥2

3) 𝑥+64𝑥2

+ 32𝑥2

= 𝑥+42𝑥2

Unit 4 – Day 1

4) 1𝑥2−𝑥

+ 1𝑥= 5

𝑥2−𝑥

5) 1𝑥−8

− 1 = 142𝑥−16

Unit 4 – Day 2 Name: Date: Integrated Math 4G: HMWK

Solving Rational Equations – Cross Multiply Method

(#1-6) Solve each equation for 𝑥 by cross multiplying.

1)

𝑥5= 𝑥+3

8

2)

43𝑥+3

= 12𝑥2−1

3)

2𝑥−1

= 𝑥+43

4)

62𝑥+9

= 106𝑥+7

Unit 4 – Day 2 5)

23𝑥−5

= 4𝑥−15

6)

2𝑥2= 1

3𝑥−4

Unit 4 – Day 3 Name: Date: Integrated Math 4G: HMWK

Solving Rational Equations – Literal Equations

(#1-10) Solve each equation for the given variable.

1) 𝑉 = 𝑙𝑤ℎ ; for 𝑤 2) 𝑉 = 𝜋𝑟2ℎ ; for ℎ

3) 𝐴 = 12

𝑏ℎ ; for ℎ 4) 𝑎𝑥 + 𝑏𝑥 = 𝑐 ; for 𝑥

Unit 4 – Day 3 5) 𝑏𝑥 − 𝑐𝑥 = 𝑎 ; for 𝑥 6) 𝑥

𝑎+ 8 = 𝑐 ; for 𝑥

7) 𝑥𝑎

= 𝑐 − 𝑏 ; for 𝑥 8) 𝑀 = 2𝐸𝑉2 ; for 𝐸

9) 𝐿𝑡2 = 𝑔

4𝜋2 ; for 𝐿 10) 𝐹 = 95

𝐶 + 32 ; for 𝐶