Download DIRECTIONS: Simplify each expression by using the distributive

1-A3
Algebra 1H
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Distributive Property and Combining Like Terms Practice Sheet
Do on binder paper!
SHOW WORK AS SPECIFIED BELOW
DIRECTIONS: Simplify each expression by using the distributive property and then
combining like terms. Follow the format given in the example below.
Example Problem: 1.) 5 - 2(x - 3) - 4
1.) 5 - 2 (x - 3) - 4x
5 + -2(x + -3) + -4x
5 + -2x + 6 + -4x
11 + -6x
11 - 6x
step 1 write out the problem as shown
step 2 change all subtraction to addition of a negative
step 3 perform distributive property
step 4 combine the "like" terms
step 5 circle your simplified expression - for correcting
Do on Binder Paper – Show all work steps as shown above!
1.) 7 + 3(y + 4) + 6y
9.)
2.) 2 - 4(x - 3) + 5x
10.) 2y(y - 4) + 5(y + 3) + 3y
3.) x(x - 2) + 5(x + 4)
11.) u(x - 2y) + u(x - 3z) + 5uy
4.) 3(x - 2y) - (3x - 5y)
12.) 17 - 2x(5 + z) + 7x - 3 + 8xz
5.) 3u - 2(u - 4) - 5u
13.) 3y - 4(x - 2y) + 3(2x - 6) - 12
6.) 18 - 5(2z - 3) + 6z
14.) z(z - 4) - 2(z - 5) + 12 - 3z2
7.) 12 + x(z - 5) + 5xz
15.) 3u(u - 4) - 4(u - 8) - 6u + 18
8.)
16.) 4x(y + 3) - 2(x - 3y) + 6x - 8xy
-2
(y - 3) - 5(y + 3)
2x - 5(x - 3) + 8x + 11
1-A3 (8H)
PRACTICE SHEET
1.) 7 + 3(y + 4) + 6y
9y + 19
2.) 2 - 4(x - 3) + 5x
x + 14
3.) x(x - 2) + 5(x + 4)
x2 + 3x + 20
4.) 3(x - 2y) - (3x - 5y)
–y
5.) 3u - 2(u - 4) - 5u
–4u + 8
6.) 18 - 5(2z - 3) + 6z
–4z + 33
7.) 12 + x(z - 5) + 5xz
–5x + 6xz + 12
8.)
-2
(y - 3) - 5(y + 3)
–7y – 9
9.)
Key
2x - 5(x - 3) + 8x + 11
5x + 26
10.) 2y(y - 4) + 5(y + 3) + 3y
2y2 + 15
11.) u(x - 2y) + u(x - 3z) + 5uy
2ux + 3uy – 3uz
12.) 17 - 2x(5 + z) + 7x - 3 + 8xz
–3x + 6xz + 14
13.) 3y - 4(x - 2y) + 3(2x - 6) - 12
2x + 11y – 30
14.) z(z - 4) - 2(z - 5) + 12 - 3z2
–2z2 – 6z + 22
15.) 3u(u - 4) - 4(u - 8) - 6u + 18
3u2 – 22u + 50
16.) 4x(y + 3) - 2(x - 3y) + 6x - 8xy
16x – 4xy + 6y