Name: 
 

Unit Test #2 Number Theory Study Guide



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

 1. 

A comet is about numbersensesg_files/i0020000.jpg miles from Earth. Write this number in standard form.
a.
44,000 miles
c.
4,400,000 miles
b.
440,000 miles
d.
0numbersensesg_files/i0020001.jpg
 
 
Evaluate each of the following.
 

 2. 

78 – 6 ´ 6 ¸ 2 + 6
a.
27
c.
73.5
b.
222
d.
66
 

 3. 

For summer yard work, Emily earns $20 per yard. Emily worked on 8 yards each day on Friday and Saturday and on 3 yards each day on Monday, Tuesday, and Thursday. Evaluate the expression numbersensesg_files/i0050000.jpg to find out how much Emily earned in all.
a.
Emily earned $1,320.
c.
Emily earned $500.
b.
Emily earned $25.
d.
Emily earned $1,140.
 
 
Evaluate each expression for the given value of the variable.
 

 4. 

x + 16 for x = 23
a.
7
c.
23x + 16
b.
368
d.
39
 

 5. 

numbersensesg_files/i0080000.jpg
a.
numbersensesg_files/i0080001.jpg
c.
30
b.
36
d.
42
 

 6. 

Write this phrase as an algebraic expression.
13 more than a number
a.
13 + t
c.
t – 13t
b.
numbersensesg_files/i0090000.jpg
d.
numbersensesg_files/i0090001.jpg
 

 7. 

Identify like terms in the list:
numbersensesg_files/i0100000.jpg
a.
numbersensesg_files/i0100001.jpg
b.
4t and 4z
c.
numbersensesg_files/i0100002.jpg
d.
numbersensesg_files/i0100003.jpg
 

 8. 

Which of the following is a solution of 20 = k + 7?
13          27          23          14
a.
23
c.
27
b.
13
d.
14
 

 9. 

Li-ming has 3 fewer pennies saved than Matt has. If Li-ming has 36 pennies, then the equation 36 = p – 3 can be used to represent the number of pennies Matt has. Does Matt have 40 pennies, 39 pennies, 33 pennies, or 49 pennies?
a.
33
c.
49
b.
40
d.
39
 
 
Solve each equation. Check your answer.
 

 10. 

56 = 4m
a.
15 = m
c.
52 = m
b.
60 = m
d.
14 = m
 

 11. 

Your score at miniature golf this weekend is 35. This is 1 less than the previous time you played. What was your score the previous time you played miniature golf?
a.
34
c.
35
b.
46
d.
36
 

 12. 

Your basketball team scored 8 points in the first quarter. The team’s final score was 90 points. How many points did your team score in the rest of the game?
a.
Your team scored 98 points in the rest of the game.
b.
Your team scored 82 points in the rest of the game.
c.
Your team scored 92 points in the rest of the game.
d.
Your team scored 81 points in the rest of the game.
 

Short Answer
 

 13. 

After planting a seed, you notice that it produces 2 leaves in 10 days. If it doubles the number of leaves it has every 10 days, how many leaves will the plant have in 60 days?




.
 

 14. 

In Manuel’s science report, he says that a star is numbersensesg_files/i0190000.jpg miles from Venus. Show how to write this number in standard form




.
 

 15. 

There are 8 ounces in 1 cup. If you need 3 cups of raisins for a snack mix and the raisins come in 6-ounce boxes, use the expression numbersensesg_files/i0200000.jpg for x = 3 to find how many boxes of raisins you will need




.
 

 16. 

Roberto is traveling to a museum in Chicago with his family. They are going to see Sue, the most complete skeleton of Tyrannosaurus rex ever found. The trip will be 332 miles in one direction. They have traveled 150 miles so far. How much farther does Roberto’s family have to travel to see Sue? Use an equation to solve and check your answer




.
 

Essay
 

 17. 

Elena has m state quarters in her collection, and her brother Emilio has m + 6 state quarters in his collection. Discuss three different ways of stating in words the number of quarters Emilio has



.
 

 18. 

Describe the steps for simplifying the expression numbersensesg_files/i0240000.jpg. Be specific and be sure to include the meaning of like terms in your explanation

.
 

Other
 

 19. 

Solve the following equations “my way”.
m + 18 = 25




a - 9 = 24




4t = 32



= 20
6
 



 
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