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