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All questions of Numbers and Basic Operations for ACT Exam
Evaluate the following expression
20 – 18 ÷ 6 + 9 × 2- a)30
- b)35
- c)40
- d)45
Correct answer is option 'B'. Can you explain this answer?
Evaluate the following expression
20 – 18 ÷ 6 + 9 × 2
20 – 18 ÷ 6 + 9 × 2
a)
30
b)
35
c)
40
d)
45
|
Ayesha Joshi answered |
Step 1:
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
20 – 18 ÷ 6 + 9 × 2 = 20 – 3 + 18
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
20 – 18 ÷ 6 + 9 × 2 = 20 – 3 + 18
Step 2:
We do all addition and subtraction from left to right
20 – 3 + 18 = 17 + 18 = 35
We do all addition and subtraction from left to right
20 – 3 + 18 = 17 + 18 = 35
Step 3:
So 20 – 18 ÷ 6 + 9 × 2 = 35
So 20 – 18 ÷ 6 + 9 × 2 = 35
Evaluate the following expression
18 ÷ 3 + 3 × 3 – 8- a)2
- b)4
- c)5
- d)7
Correct answer is option 'D'. Can you explain this answer?
Evaluate the following expression
18 ÷ 3 + 3 × 3 – 8
18 ÷ 3 + 3 × 3 – 8
a)
2
b)
4
c)
5
d)
7
|
|
Ayesha Joshi answered |
Step 1:
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right
18 ÷ 3 + 3 × 3 – 8 = 6 + 9 – 8
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right
18 ÷ 3 + 3 × 3 – 8 = 6 + 9 – 8
Step 2:
We do all addition and subtraction from left to right
6 + 9 – 8 = 15 – 8 = 7
We do all addition and subtraction from left to right
6 + 9 – 8 = 15 – 8 = 7
Step 3:
So 18 ÷ 3 + 3 × 3 – 8 = 7
So 18 ÷ 3 + 3 × 3 – 8 = 7
Evaluate the following expression
7 – 52 ÷ 13 + 6 × 5- a)30
- b)32
- c)33
- d)43
Correct answer is option 'C'. Can you explain this answer?
Evaluate the following expression
7 – 52 ÷ 13 + 6 × 5
7 – 52 ÷ 13 + 6 × 5
a)
30
b)
32
c)
33
d)
43
|
Orion Classes answered |
Step 1:
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
7 – 52 ÷ 13 + 6 × 5 = 7 – 4 + 30
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
7 – 52 ÷ 13 + 6 × 5 = 7 – 4 + 30
Step 2:
We do all addition and subtraction from left to right
7 – 4 + 30 = 3 + 30 = 33
We do all addition and subtraction from left to right
7 – 4 + 30 = 3 + 30 = 33
Step 3:
So 7 – 52 ÷ 13 + 6 × 5 = 33
So 7 – 52 ÷ 13 + 6 × 5 = 33
Evaluate the following expression
15 – 6 ÷ 2 + 4 × 4- a)28
- b)30
- c)32
- d)36
Correct answer is option 'A'. Can you explain this answer?
Evaluate the following expression
15 – 6 ÷ 2 + 4 × 4
15 – 6 ÷ 2 + 4 × 4
a)
28
b)
30
c)
32
d)
36
|
|
Orion Classes answered |
Step 1:
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
15 – 6 ÷ 2 + 4 × 4 = 15 – 3 + 16
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
15 – 6 ÷ 2 + 4 × 4 = 15 – 3 + 16
Step 2:
We do all addition and subtraction from left to right
15 – 3 + 16 = 12 + 16 = 28
We do all addition and subtraction from left to right
15 – 3 + 16 = 12 + 16 = 28
Step 3:
So 15 – 6 ÷ 2 + 4 × 4 = 28
So 15 – 6 ÷ 2 + 4 × 4 = 28
Evaluate the following expression
8 + 4 × 6 – 8 ÷ 2- a)24
- b)25
- c)26
- d)28
Correct answer is option 'D'. Can you explain this answer?
Evaluate the following expression
8 + 4 × 6 – 8 ÷ 2
8 + 4 × 6 – 8 ÷ 2
a)
24
b)
25
c)
26
d)
28
|
|
Orion Classes answered |
Step 1:
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
8 + 4 × 6 – 8 ÷ 2 = 8 + 24 – 4
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
8 + 4 × 6 – 8 ÷ 2 = 8 + 24 – 4
Step 2:
We do all addition and subtraction from left to right
8 + 24 – 4 = 28
We do all addition and subtraction from left to right
8 + 24 – 4 = 28
Step 3:
So 8 + 4 × 6 – 8 ÷ 2 = 28
So 8 + 4 × 6 – 8 ÷ 2 = 28
Evaluate the following expression
18 ÷ 6 + 3 × 7 – 11- a)8
- b)9
- c)12
- d)13
Correct answer is option 'D'. Can you explain this answer?
Evaluate the following expression
18 ÷ 6 + 3 × 7 – 11
18 ÷ 6 + 3 × 7 – 11
a)
8
b)
9
c)
12
d)
13
|
|
Orion Classes answered |
Step 1:
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
18 ÷ 6 + 3 × 7 – 11 = 3 + 21 – 11
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
18 ÷ 6 + 3 × 7 – 11 = 3 + 21 – 11
Step 2:
We do all addition and subtraction from left to right
3 + 21 – 11 = 24 – 11 = 13
We do all addition and subtraction from left to right
3 + 21 – 11 = 24 – 11 = 13
Step 3:
So 18 ÷ 6 + 3 × 7 – 11 = 13
So 18 ÷ 6 + 3 × 7 – 11 = 13
Evaluate the following expression
17 × 3 – 42 ÷ 14 − 18- a)30
- b)32
- c)36
- d)40
Correct answer is option 'A'. Can you explain this answer?
Evaluate the following expression
17 × 3 – 42 ÷ 14 − 18
17 × 3 – 42 ÷ 14 − 18
a)
30
b)
32
c)
36
d)
40
|
|
Orion Classes answered |
Step 1:
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
17 × 3 – 42 ÷ 14 – 18 = 51 – 3 – 18
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
17 × 3 – 42 ÷ 14 – 18 = 51 – 3 – 18
Step 2:
We do all addition and subtraction from left to right
51 – 3 – 18 = 51 – 21 = 30
We do all addition and subtraction from left to right
51 – 3 – 18 = 51 – 21 = 30
Step 3:
So 17 × 3 – 42 ÷ 14 – 18 = 30
So 17 × 3 – 42 ÷ 14 – 18 = 30
Evaluate the following expression
8 – 12 ÷ 4 + 5 × 3- a)12
- b)15
- c)20
- d)25
Correct answer is option 'C'. Can you explain this answer?
Evaluate the following expression
8 – 12 ÷ 4 + 5 × 3
8 – 12 ÷ 4 + 5 × 3
a)
12
b)
15
c)
20
d)
25
|
|
Orion Classes answered |
Step 1:
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
8 – 12 ÷ 4 + 5 × 3 = 8 – 3 + 15
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
8 – 12 ÷ 4 + 5 × 3 = 8 – 3 + 15
Step 2:
We do all addition and subtraction from left to right
8 – 3 + 15 = 5 + 15 = 20
We do all addition and subtraction from left to right
8 – 3 + 15 = 5 + 15 = 20
Step 3:
So 8 – 12 ÷ 4 + 5 × 3 = 20
So 8 – 12 ÷ 4 + 5 × 3 = 20
Evaluate the following expression
28 ÷ 7 + 6 × 5 – 14- a)18
- b)20
- c)24
- d)28
Correct answer is option 'B'. Can you explain this answer?
Evaluate the following expression
28 ÷ 7 + 6 × 5 – 14
28 ÷ 7 + 6 × 5 – 14
a)
18
b)
20
c)
24
d)
28
|
|
Orion Classes answered |
Step 1:
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
28 ÷ 7 + 6 × 5 – 14 = 4 + 30 – 14
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
28 ÷ 7 + 6 × 5 – 14 = 4 + 30 – 14
Step 2:
We do all addition and subtraction from left to right
4 + 30 – 14 = 34 – 14 = 20
We do all addition and subtraction from left to right
4 + 30 – 14 = 34 – 14 = 20
Step 3:
So 28 ÷ 7 + 6 × 5 – 14 = 20
So 28 ÷ 7 + 6 × 5 – 14 = 20
Evaluate the following expression
28 ÷ 7 + 2 × 4 − 10- a)2
- b)3
- c)4
- d)5
Correct answer is option 'A'. Can you explain this answer?
Evaluate the following expression
28 ÷ 7 + 2 × 4 − 10
28 ÷ 7 + 2 × 4 − 10
a)
2
b)
3
c)
4
d)
5
|
|
Orion Classes answered |
Step 1:
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
28 ÷ 7 + 2 × 4 – 10 = 4 + 8 – 10
We follow PEMDAS rule in simplifying this expression.
We do multiplication and division from left to right.
28 ÷ 7 + 2 × 4 – 10 = 4 + 8 – 10
Step 2:
We do all addition and subtraction from left to right
4 + 8 – 10 = 12 – 10 = 2
We do all addition and subtraction from left to right
4 + 8 – 10 = 12 – 10 = 2
Step 3:
So 28 ÷ 7 + 2 × 4 – 10 = 2
So 28 ÷ 7 + 2 × 4 – 10 = 2
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