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Equations with whole numbers

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
A child’s ticket for a museum costs $1 less than an adult’s ticket. If a represents the cost of an adult’s ticket, which expression represents the cost of a child’s ticket?
a.
1 – a
c.
a – 1
b.
1 + a
d.
1a
 

 2. 
Solve the equation.
k – 34 = 71
a.
k = 34
b.
k = 71
c.
k = 105
d.
k = 75
 

 3. 
Evaluate the expression 6x + 15 for x = 3.
a.
43
b.
23
c.
33
d.
18
 

 4. 
How should you get the variable alone in the equation 4c = 139?
a.
Multiply both sides of the equation by 4.
b.
Subtract 139 from both sides of the equation.
c.
Add 139 to both sides of the equation.
d.
Divide both sides of the equation by 4.
 

 5. 
Paolo solved the equation h(18) – 72 = 432. Paolo’s solution was h = 63. Substitute Paolo’s solution into the equation. Is Paolo correct? If not, what is the correct answer?
a.
Yes
c.
No; h = 28
b.
No; h = 38
d.
No; h = 18
 

 6. 
Marco’s brother is 4 years older than Marco. This year Marco’s brother is 29. If b is Marco’s age, the equation b + 4 = 29 represents this situation. How can you get the variable alone?
a.
Multiply both sides by 4.
c.
Add 29 to both sides.
b.
Subtract 4 from both sides.
d.
Add 4 to both sides.
 

 7. 
The first week of August, a summer camp hosted 50 teenagers to learn about farming. This is 12 more campers than attended the summer camp during the last week of July, n. Find how many campers attended the summer camp during the last week in July by solving the number sentence n + 12 = 50. What is the solution?
a.
12
b.
28
c.
38
d.
62
 

 8. 
Nick stores 72 CDs in a box that has 9 sections. He can use the equation 9b = 72 to represent this situation. How many CDs does b represent?
a.
8
b.
9
c.
10
d.
7
 

 9. 
Therese is decorating a flower pot that is 14 centimeters in diameter. The directions call for mc009-1.jpg one-centimeter-square tiles where x is the diameter in centimeters of the top of the pot. How many tiles does Therese need for the flower pot?
a.
84
b.
90
c.
94
d.
80
 

 10. 
Mark plans to rent a bicycle while on vacation at Hilton Head, North Carolina.
mc010-1.jpg
Mark has $19.00. What is the greatest number of days he can rent the bicycle? Use the formula 2d + 3, where d represents the number of days of the rental.
a.
9 days
b.
6 days
c.
7 days
d.
8 days
 

 11. 
Sue read 28 pages on Saturday and p pages on Sunday. Which expression shows the total number of pages she read on these two days?
mc011-1.jpg
a.
28 – p
b.
28p
c.
28 + p
d.
28 ÷ p
 

 12. 
You have 54 colored pencils. This is 13 more than n, the number of colored pencils your friend has. Find how many colored pencils your friend has by solving the number sentence n + 13 = 54. What is the solution?
a.
13
b.
31
c.
41
d.
67
 

 13. 
Quarts can be converted to cups by evaluating the expression 4q, where q represents the number of quarts. How many cups are there when q = 6?
a.
24
b.
34
c.
16
d.
64
 

 14. 
Evaluate x3 for x = 5.
a.
25
b.
125
c.
105
d.
5
 

 15. 
You know: 12 mc015-1.jpg 3 = 36.
Therefore:  12 mc015-2.jpg 3 mc015-3.jpg 4 = 36 mc015-4.jpg 4.
Which Property of Equality is demonstrated above?
a.
Multiplication Property of Equality
b.
Addition Property of Equality
c.
Subtraction Property of Equality
d.
Division Property of Equality
 

 16. 
Solve the equation.
17z = 85
a.
z = 17
b.
z = 102
c.
z = 85
d.
z = 5
 

 17. 
Jacob’s DVD holder has 7 sections and holds a total of 91 DVDs. Jacob can use the equation 7b = 91 to represent this situation. How many CDs does b represent?
a.
b = 13
b.
b = 91
c.
b = 7
d.
b = 12
 

 18. 
You know: 15 – 7 = 8.
Therefore:  15 – 7 – 2 = 8 – 2.
Which Property of Equality was illustrated?
a.
Addition Property of Equality
b.
Division Property of Equality
c.
Subtraction Property of Equality
d.
Multiplication Property of Equality
 

 19. 
What value of s makes the equation true?
3s = 30
mc019-1.jpg
a.
3
b.
10
c.
27
d.
90
 

Numeric Response
 

 20. 
Gavin stores 36 CDs in a box that has 6 sections. He can use the equation nr020-1.jpg to represent this situation. How many CDs does d represent?
 
nr020-2.jpg

 

 21. 
Evaluate nr021-1.jpg for nr021-2.jpg.
 
nr021-3.jpg

 

 22. 
What is the value of the expression nr022-1.jpg?
 
nr022-2.jpg

 

 23. 
What is the value of the expression nr023-1.jpg?
 
nr023-2.jpg

 

 24. 
What is the value of the expression nr024-1.jpg?
 
nr024-2.jpg

 

 25. 
Joe is decorating a flower pot with one-centimeter-square tiles. The directions call for nr025-1.jpg tiles where x is the diameter in centimeters of the top of the pot. How many tiles does Joe need?
nr025-2.jpg
nr025-3.jpg

 



 
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