Question 1

Write the phrase as a mathematical expression. Use x as the variable.
-The product of 8.7 and the sum of a number and 10

Accepted Answer

A) 10(x + 8.7) 
B) 8.7(x - 10) 
C) 8.7(x + 10) 
D) 10(x - 8.7) 
A) 10(x + 8.7) 
B) 8.7(x - 10) 
C) 8.7(x + 10) 
D) 10(x - 8.7) C

Question 2

Solve the problem.
-Dr. Wong can see 9 patients in 3 hours. At this rate, how long would it take her to see 27 patients?

Accepted Answer

A) 27 hr 
B) 8 hr 
C) 9 hr 
D) 81 hr 
A) 27 hr 
B) 8 hr 
C) 9 hr 
D) 81 hr C

Question 3

Solve the equation.
-4n - 2 = 18

Accepted Answer

A) 5 
B) 6 
C) 20 
D) 16 
A) 5 
B) 6 
C) 20 
D) 16 A

Question 4

Provide an appropriate response.
-In the Multiplication Rule for solving equations, explain why each side of the equation must be multiplied or divided by the same nonzero number.

Accepted Answer

Multiplying both sides by zero

Question 5

Write the phrase as a mathematical expression. Use x as the variable.
-The sum of 5.53 and x

Accepted Answer

A) 5.53x 
B) 5.53 
C) 5.53 - x 
D) 5.53 + x 
A) 5.53x 
B) 5.53 
C) 5.53 - x 
D) 5.53 + x

Question 6

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. Round to the nearest hundredth when necessary.
-P = 4s; s = 33

Accepted Answer

A) s = 29 
B) s = 132 
C) P = 37 
D) P = 132 
A) s = 29 
B) s = 132 
C) P = 37 
D) P = 132

Question 7

Solve the problem.
-Four times a number added to 8 times the number equals 36. Find the number.

Accepted Answer

A) 5 
B) 3 
C) 4.5 
D) 1 
A) 5 
B) 3 
C) 4.5 
D) 1

Question 8

Provide an appropriate response.
-Write a step-by-step explanation of how you would solve the equation   for b.

Accepted Answer

The answer of Provide an appropriate response.
-Write a step-by-step explanation...

Question 9

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. Round to the nearest hundredth when necessary.
-d = rt; t = 5, d = 35

Accepted Answer

A) r = 40 
B) r = 7 
C) r = 30 
D) d = 7 
A) r = 40 
B) r = 7 
C) r = 30 
D) d = 7

Question 10

Translate the statement into a mathematical expression.
-A salesperson drove 6 hours. How long will he have driven t hours later?

Accepted Answer

A) 6 
B) 6 - t 
C) 6t 
D) 6 + t 
A) 6 
B) 6 - t 
C) 6t 
D) 6 + t

Question 11

Solve the equation.
-10y = 5y + 5 + 4y

Accepted Answer

A) -5 
B) 50 
C) -50 
D) 5 
A) -5 
B) 50 
C) -50 
D) 5

Question 12

Solve the equation.
-7.1m + 2m - m = 30.78

Accepted Answer

A) 8.1 
B) 7.1 
C) 3.8 
D) 38 
A) 8.1 
B) 7.1 
C) 3.8 
D) 38

Question 13

Write the phrase as a mathematical expression. Use x as the variable.
-The sum of a number and 15

Accepted Answer

A)    
B) x - 15 
C) 15x 
D) x + 15 
A)    
B) x - 15 
C) 15x 
D) x + 15

Question 14

Solve the problem.
-Sven can type 48 words per minute. How many words would he type in   hour (30 minutes)?

Accepted Answer

A) 24 words 
B) 720 words 
C) 96 words 
D) 1,440 words 
A) 24 words 
B) 720 words 
C) 96 words 
D) 1,440 words

Question 15

Write the statement as a ratio in lowest terms.
-144 weeks to 171 weeks

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Solve the equation.
-a - 2 = -7

Accepted Answer

A) 9 
B) -5 
C) -9 
D) 5 
A) 9 
B) -5 
C) -9 
D) 5

Question 17

Provide an appropriate response.
-What is the cross product method? Use an example.

Accepted Answer

A true pro

Question 18

Solve the equation.
-13.2 = 3.3c

Accepted Answer

A) 8.9 
B) 9.9 
C) 3 
D) 4 
A) 8.9 
B) 9.9 
C) 3 
D) 4

Question 19

Write the phrase as a mathematical expression. Use x as the variable.
-6 times some number

Accepted Answer

A) 6x 
B) 6 + x 
C) 6 - x 
D)    
A) 6x 
B) 6 + x 
C) 6 - x 
D)

Question 20

Solve the formula for the specified variable.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Write the phrase as a mathematical expression. Use x as the variable. -The product of 8.7 and the sum of a number and 10

Solve the problem. -Dr. Wong can see 9 patients in 3 hours. At this rate, how long would it take her to see 27 patients?

Solve the equation. -4n - 2 = 18

Provide an appropriate response. -In the Multiplication Rule for solving equations, explain why each side of the equation must be multiplied or divided by the same nonzero number.

Write the phrase as a mathematical expression. Use x as the variable. -The sum of 5.53 and x

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. Round to the nearest hundredth when necessary. -P = 4s; s = 33

Solve the problem. -Four times a number added to 8 times the number equals 36. Find the number.

Provide an appropriate response. -Write a step-by-step explanation of how you would solve the equation for b.

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. Round to the nearest hundredth when necessary. -d = rt; t = 5, d = 35

Translate the statement into a mathematical expression. -A salesperson drove 6 hours. How long will he have driven t hours later?

Solve the equation. -10y = 5y + 5 + 4y

Solve the equation. -7.1m + 2m - m = 30.78

Write the phrase as a mathematical expression. Use x as the variable. -The sum of a number and 15

Solve the problem. -Sven can type 48 words per minute. How many words would he type in hour (30 minutes)?

Write the statement as a ratio in lowest terms. -144 weeks to 171 weeks

Solve the equation. -a - 2 = -7

Provide an appropriate response. -What is the cross product method? Use an example.

Solve the equation. -13.2 = 3.3c

Write the phrase as a mathematical expression. Use x as the variable. -6 times some number

Solve the formula for the specified variable. -

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Exam 4: Equations and Formulas