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Simplifying Using "The Order of Operations" Worksheet

Answers

This page shows the final answer to each problem.  You may return to the Worksheet Page to quiz yourself or have your answers checked automatically.  If you would like assistance with a particular problem, click the " step-by-step" link for an in depth solution.

1
42 / 22
Answer
4
2
42 * 22
Answer
64
3
(5 - 1)3
Answer
64
4
51 + 10 * 10
Answer
151
step-by-step
5
(2a + 12)(3a + 3) + a
Answer
6a2 + 43a + 36
step-by-step
6
(2a + 6 * 2)(3a + 3) + a
Answer
6a2 + 43a + 36
step-by-step
7
[2(1 + 3) + 1] * 7 + 1
Answer
64
step-by-step
8
100 / 2 * 3
Answer
150
9
2[a(a + b) + b(a + b)]
Answer
2a2 + 4ab + 2b2
step-by-step
10
5 + 9 / 3 + 4
Answer
12
11
a + a(x + 1)
Answer
ax + 2a
step-by-step
12
(5 - x(4 - 1))2
Answer
25 + -30x + 9x2
step-by-step
13
8 + 8(x + y) * 8
Answer
8 + 64x + 64y
step-by-step
14
(y + x + x - y) / x
Answer
2
15
3(u + v)2
Answer
3u2 + 6uv + 3v2
16
(3u + 3v)2 - 3(u - v)2
Answer
6u2 + 24uv + 6v2
17
j - 40 / (7 - 3) + j
Answer
-10 + 2j
18
(p + q)(p2 / p + q + q)
Answer
p2 + 3pq + 2q2
19
2(3(4 + p) + p) + p
Answer
24 + 9p
step-by-step
20
(1 + 9)2 * 2
Answer
200
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