Question 1

Use the rule for order of operations to simplify the expression as much as possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

It is important to follow the order of operations, also known as PEMDAS (parentheses, exponents, multiplication and division, addition and subtraction). In the given expression, there are no parentheses or exponents. We start with multiplication and division, and there are none of those either. So we move on to addition and subtraction from left to right.

11 + 9 - 7 x 3

= 11 + 9 - 21

= -1

Therefore, the simplified expression is 11ec08ab_f29b_33e4_ae58_9df55b2b96b3_TBX8808_11 (choice D).

Question 2

For the sentence below, write an equivalent expression in symbols. The product of  and  is less than or equal to the sum of  and  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

B

Question 3

Find the next number in the sequence. 2, 2, 4, 6, 10, 16,. . . (A Fibonacci-like sequence.)
A) 
B) 
C) 
D) 
E)

Accepted Answer

A

Question 4

In 1993 the government standardized the way in which nutrition information was presented on the labels of most packaged food products. The figure shows a standardized food label from a package of cookies that I ate at lunch the day I was writing the problems for this problem set. Use the information in the figure to answer the following question.  If I paid $0.50 for the package of cookies, how much did each cookie cost?
A) $0.07
B) $0.02
C) $0.75
D) $0.05
E) none of these

Accepted Answer

According to the label, the package contains 15 cookies and each serving size is 3 cookies, which makes 5 servings in total. The package cost $0.50, which means that each serving costs $0.10 ($0.50 divided by 5 servings). Therefore, each cookie costs $0.10 divided by 3 cookies, which equals $0.033. Rounding to the nearest cent, each cookie costs $0.05, which is the closest choice to the calculated value. So, the correct answer is D ($0.05).

Question 5

Use the rule for order of operations to simplify the expression as much as possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the rule for order of operations...

Question 6

Use the rule for order of operations to simplify the expression as much as possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the rule for order of operations...

Question 7

Use the rule for order of operations to simplify the expression as much as possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the rule for order of operations...

Question 8

Expand and multiply. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Expand and multiply. 
A) 
B) 
C) 
D)...

Question 9

Use the rule for order of operations to simplify the expression as much as possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the rule for order of operations...

Question 10

Use the rule for order of operations to simplify the expression as much as possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the rule for order of operations...

Question 11

The following bar chart gives the number of calories burned by a 150-pound person during 1 hour of various exercises. Use the bar char to determine the number of calories burned during 1 hour of bowling. 
A)  calories
B)  calories
C)  calories
D)  calories
E)  calories

Accepted Answer

The answer of The following bar chart gives the number...

Question 12

Use the rule for order of operations to simplify the expression as much as possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the rule for order of operations...

Question 13

For the sentence below, write an equivalent expression in symbols. The quotient of  and  is equal to the sum of  and  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of For the sentence below, write an equivalent...

Question 14

Expand and multiply. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Expand and multiply. 
A) 
B) 
C) 
D)...

Question 15

Use the rule for order of operations to simplify the expression as much as possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The expression requires the use of the order of operations (PEMDAS): parentheses first, then exponents, then multiplication and division (from left to right), and finally addition and subtraction (from left to right). However, there are no parentheses, exponents, multiplication, or division in the expression. Therefore, we simply add and subtract from left to right.

11ec08ab_f29b_a916_ae58_e50a2aa29253_TBX8808_11

= 11ec08ab_f29b + a916 - ae58 + e50a2aa29253_TBX8808_11

= 11ec08ab_f29b_f739_01c2 + e9cc8b3afc73_TBX8808_11

= 11ec08ab_f29c_1e4a_ae58_e9cc8b3afc73_TBX8808_11

The simplified expression is 11ec08ab_f29c_1e4a_ae58_e9cc8b3afc73_TBX8808_11.

Question 16

Find the next number in the sequence. 1, 4, 9, 16, 25, . . . (The sequence of squares.)
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the next number in the sequence....

Question 17

Use the rule for order of operations to simplify the expression as much as possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the rule for order of operations...

Question 18

Use the rule for order of operations to simplify the expression as much as possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the rule for order of operations...

Question 19

For the sentence below, write an equivalent expression in symbols. The sum of  and  is  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of For the sentence below, write an equivalent...

Question 20

Use the rule for order of operations to simplify the expression as much as possible. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

Using the order of operations, we perform the multiplication and division first (from left to right), followed by addition and subtraction (from left to right). Thus, we have:
5 + 2 ÷ 1 - 4 × 3 =
5 + 2 - 12 =
-5
Therefore, the simplified expression is -5. None of the answer choices matches this value except for option D, which is the correct answer.

Quiz 1: Notation and Symbols

Use the rule for order of operations to simplify the expression as much as possible.

For the sentence below, write an equivalent expression in symbols. The product of and is less than or equal to the sum of and .

Find the next number in the sequence. 2, 2, 4, 6, 10, 16,. . . (A Fibonacci-like sequence.)

Use the rule for order of operations to simplify the expression as much as possible.

Use the rule for order of operations to simplify the expression as much as possible.

Use the rule for order of operations to simplify the expression as much as possible.

Expand and multiply.

Use the rule for order of operations to simplify the expression as much as possible.

Use the rule for order of operations to simplify the expression as much as possible.

The following bar chart gives the number of calories burned by a 150-pound person during 1 hour of various exercises. Use the bar char to determine the number of calories burned during 1 hour of bowling.

Use the rule for order of operations to simplify the expression as much as possible.

For the sentence below, write an equivalent expression in symbols. The quotient of and is equal to the sum of and .

Expand and multiply.

Use the rule for order of operations to simplify the expression as much as possible.

Find the next number in the sequence. 1, 4, 9, 16, 25, . . . (The sequence of squares.)

Use the rule for order of operations to simplify the expression as much as possible.

Use the rule for order of operations to simplify the expression as much as possible.

For the sentence below, write an equivalent expression in symbols. The sum of and is .

Use the rule for order of operations to simplify the expression as much as possible.