Algebra 1A Section 2.5 Day 4 CW/HW p. 98-103
Name__________________ Date_____
Solving Equations with Distributive Property, Like Terms,
and Variables on Opposite Sides
1.
8n – 10 = 3(6 – 2n)
2.
7(n – 1) = 2(3 + n)
3.
6(r – 2) + 20 = 10
4.
2b – 7(3 + b) = b + 3
5.
9a – 3(2a – 4) = 15
6.
4(2x + 7) – 6 = 3x
7.
5x – (x + 6) = 10 – 4x
8.
3(1 + d) – 5 = 3d – 2
9.
3x – (2 + x) = 4
10.
4(2x – 5) – 8(x + 10) = 15
11.
x
x
+5=
2
3
6
12.
x
3x
+7=4+
5
5
13.
4x = 9x – 15
14.
3x + 30 = 70 – x
Answers to odd ex. 1. n = 2; 3. r = −3; 5. a = 1; 7. x = 2; 9. x = 3; 11. x = −42; 13. x = 3
Algebra 1A Section 2.5 Day 4 Notes & Ex p. 98-103 Name__________________ Date_____
Solving Equations with Distributive
Property, Like Terms, and Variables on
Opposite Sides
Steps:
1) Distribute.
2) Combine like terms on same
side(s).
3) Move terms that are on
opposite sides to the same
side.
(switch sides  switch signs)
4) Follow steps to solving multstep equations.
Ex. 1
5b – 3(4 – b) = 2(b + 21)
Dist.
5b – 12 + 3b = 2b + 42
like
terms
5b + 3b – 12 = 2b + 42
8b – 12 = 2b + 42
2b
2b
6b – 12 = 42
+12 +12
6b = 54
6
6
b=9
Ex. 2
3x – (4x – 7) = 2(7 – x) + 1
Dist.
3x – 1(4x – 7) = 2(7 – x) + 1
3x – 4x + 7 = 14 – 2x + 1
like
terms
3x – 4x + 7 = 14 + 1 – 2x
1x + 7 = 15 – 2x
+2x
+2x
x + 7 = 15
7 7
x=8
Algebra 1A Section 2.5 Day 4 Notes & Ex p. 98-103 Name__________________ Date_____
Solving Equations with Distributive Property, Like Terms,
and Variables on Opposite Sides
Steps:
1)
2)
3)
4)
Ex. 1
Distribute.
Combine like terms on same side(s).
Move terms that are on opposite sides to the same side.
(switch sides  switch signs)
Follow steps to solving mult-step equations.
5b – 3(4 – b) = 2(b + 21)
Ex. 2
3x – (4x – 7) = 2(7 – x) + 1
Solve each equation.
3.
3(x + 5) – 18 = 8x
4.
2(w + 1) + 7 = 2(w + 3)
5.
7x – (x – 1) = 3x + 25
6.
2(x + 5) – (x – 3) = 8
7.
2(4r – 5) =
8.
9 + 2(w – 3) = 2(w – 1)
9.
5x – (x + 6) = 10
10.
7 – 12(3 + b) = 31
11.
2x
5x
+ 12 =
 10
3
2
12.
x
3x
+8=4+
7
7
1
(56r  70)
7