Name ________________________ Period ________
Activity Sheet 1-7
Solving Algebraic Equations with Substitution and Combining Like
Terms with Substitution
Directions: In the first column substitute number(s) for variable(s) and solve the equation. In
the second column combine like terms first then substitute number for each varable and solve the
equation.
3x + 4x = _____ { x = – 5}
3(–5) + 4(–5) =
(–15) + (–20) =
Example:
– 35
– 35
Column 1
1. 5x + 2x = _____
2. –7x + 4x = _____
3x + 4x = _____ { x = – 5}
3x + 4x =
7x =
7(–5) =
Column 2
{ x = 4}
{x = – 8}
3. – 6.5y + (– 4y) = _____ {y = – 13}
{p = 3; z = – 6}
4.
6z + (– 2p) + (– 3z) + p = ______
5.
2x  { x + [ 7x + ( 4x)]} = _______ { x = – 8}
5x + 2x = _____
{x = 4}
–7x + 4x = _____
{x = – 8}
– 6.5y + (– 4y) = _____ {y = – 13}
6z + (– 2p) + (– 3z) + p = ______ {p = 3; z = – 6}
2x  { x + [ 7x + ( 4x)]} = _____ { x = – 8}
Column 1
Column 2
6. 2 – 3p + 6 – [(– 2p) + (–8p)] = ____ { p = – 2}
2 – 3p + 6 – [(– 2p) + (–8p)] = ____ { p = – 2}
7.
4t – {– [2t + (– 4t) – 2] + 8} = ______ {t = 4}
4t – {– [2t + (– 4t) – 2] + 8} = ______ {t = 4}
8.
3r –[– 3d + (– 5r) – (2r – 6d )] = ____ {d= –3; r = 7}
3r –[– 3d + (– 5r) – (2r – 6d )] = ____ {d= –3; r = 7}
9.
– 14c – [( –22 + 27c + 5) + 84c] = ____ {c = – 56}
– 14c – [( –22 + 27c + 5) + 84c] = ____ {c = – 56}
10.
– 3h – {– [– 9h + (– 3h)]} – ( ___h) = 7h
{h = –4} – 3h – {– [– 9h + (– 3h)]} – ( ___h) = 7h
{h = –4}