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After School-3

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

 1. 

A small electronic scale in Mrs. Reynold’s chemistry classroom has a precision of mc001-1.jpg grams. Express this precision as a number using standard notation.
a.
0.0055 grams
c.
0.055 grams
b.
5.5 grams
d.
5,500 grams
 

 2. 

Express mc002-1.jpg as a fraction in reduced form.
a.
mc002-4.jpg
c.
mc002-6.jpg
b.
mc002-5.jpg
d.
mc002-7.jpg
 

 3. 

Light travels at a speed of approximately 300 million meters per second. How far does light travel in 3 seconds, expressed in scientific notation?
a.
mc003-1.jpg meters
c.
mc003-3.jpg meters
b.
mc003-2.jpg meters
d.
mc003-4.jpg meters
 

 4. 

A measuring device is precise to mc004-1.jpg yards. Express this precision as a number using standard notation.
a.
4.5 yards
c.
0.00000045 yards
b.
0.0000045 yards
d.
45,000,000 yards
 

 5. 

A company that sells DVDs gives the customers a discount of 12% if they purchase more than 2 items. What fraction of the original price will the customers pay if they receive the discount?
a.
mc005-1.jpg
c.
mc005-3.jpg
b.
mc005-2.jpg
d.
mc005-4.jpg
 

 6. 

A shop teacher has four sockets in a drawer. They are labeled mc006-1.jpg-inch, mc006-2.jpg-inch, mc006-3.jpg-inch, and mc006-4.jpg-inch. Which of these sockets has the smallest measurement?
a.
mc006-14.jpg-inch
c.
mc006-16.jpg-inch
b.
mc006-15.jpg-inch
d.
mc006-17.jpg-inch
 

 7. 

If the numbers –3.8, –3.4, mc007-1.jpg, mc007-2.jpg, and –2.6 were graphed on a number line, which would appear farthest to the left?
a.
mc007-3.jpg
c.
–3.8
b.
–2.6
d.
–3.6
 

 8. 

What is a number that would appear to the right of both 0.3 and mc008-1.jpg on the number line?
a.
0
c.
–0.9
b.
2.5
d.
0.8
 

 9. 

Which number represents the greatest mass in the table below?
Mass (grams)
mc009-1.jpg
mc009-2.jpg
mc009-3.jpg
mc009-4.jpg
a.
mc009-6.jpg
c.
mc009-8.jpg
b.
mc009-7.jpg
d.
mc009-9.jpg
 
 
nar001-1.jpg
 

 10. 

A, B, C, D, and E are five points on the above number line. Consider the pairs A and B, B and E, C and B, and D and C. Of those pairs, which pair of points can be multiplied together to get a negative number?
a.
C and B
c.
A and B
b.
B and E
d.
D and C
 

 11. 

Refer to the above number line. If you were to take the number represented by Point D and square it, would the result be less than –1, between –1 and 0, between 0 and 1, or greater than 1?
a.
between -1 and 0
c.
less than -1
b.
between 0 and 1
d.
greater than 1
 

 12. 

A, B, C, D, and E are five points on the above number line. Which one represents a number that, when cubed, will be negative?
a.
C
c.
D
b.
B
d.
A
 

 13. 

Use mental math to find the product.
mc013-1.jpg
a.
273
c.
–545
b.
2,725
d.
–1,363
 

 14. 

Use mental math to find the following sum.
mc014-1.jpg
a.
13.4
c.
4.8
b.
9.3
d.
7.6
 

 15. 

At a certain high school, 39 out of 110 students surveyed have a pet at home. If there are 1,700 students in the school, estimate the number of students in the school who have a pet at home.
a.
1,020 students
c.
680 students
b.
620 students
d.
1,080 students
 

 16. 

The hypotenuse of the right triangle below is mc016-1.jpg units long. Express this radical as a decimal rounded to two decimal places.
mc016-2.jpg
a.
18.29
c.
16.64
b.
15.99
d.
13.46
 

 17. 

Auto Electronics Unlimited sells car stereo systems for $150. The store makes a profit of $45 for each stereo system sold. If the store made a profit of $2,925 over 14 days, approximately how many stereo systems were sold each day?
a.
5
c.
3
b.
1
d.
4
 

 18. 

Factor the following expression.
mc018-1.jpg
a.
mc018-6.jpg
c.
mc018-8.jpg
b.
mc018-7.jpg
d.
mc018-9.jpg
 

 19. 

Use the order of operations to simplify the following expression.
mc019-1.jpg
a.
34
c.
12
b.
18
d.
78
 

 20. 

At a boutique, gift baskets can be custom made. The company charges a flat fee of $35, plus $60 per hour spent assembling the basket. There is an additional fee for materials used. The customer can determine the price of the gift basket by using the following formula:
mc020-1.jpg
C is the cost, t is the amount of time, in hours, spent doing the framing, and m is the cost of materials.

What equation shows the amount charged for a gift basket if it took 3 hours to make and the materials cost $60?
a.
mc020-3.jpg
c.
mc020-5.jpg
b.
mc020-4.jpg
d.
mc020-6.jpg
 

 21. 

At the local garden center, flower arrangements can be custom made. The store charges a flat fee of $70 per arrangement. There is an additional cost to the store for materials used and the arranger is paid $12 per hour. The store determines its profit by the following formula:
mc021-1.jpg
P is the profit, a is the number of arrangements made, m is the cost of materials, and t is the hours spent making one arrangement.

What equation shows the amount of profit earned if the arranger makes 3 arrangements and the materials for each cost $40?
a.
mc021-5.jpg
c.
mc021-7.jpg
b.
mc021-6.jpg
d.
mc021-8.jpg
 

 22. 

A bicycle store is offering to sell an assembled bike at a special price. They plan to charge $50 per bike and have to pay their worker $10 per hour to do the assembly. The store determines its profit by the following formula:
mc022-1.jpg
P is the profit, a is the number of bikes assembled, and t is the hours spent making one bike.

What equation shows the amount of profit earned if the worker makes 2 bikes?
a.
mc022-4.jpg
c.
mc022-6.jpg
b.
mc022-5.jpg
d.
mc022-7.jpg
 

 23. 

At an archeological dig in ancient Mesopotamia, the distance around a triangular garden is calculated to be mc023-1.jpg meters. What is this distance expressed in simplest terms?
a.
mc023-3.jpg meters
c.
mc023-5.jpg meters
b.
mc023-4.jpg meters
d.
mc023-6.jpg meters
 

 24. 

What number multiplied by mc024-1.jpg will be equal to 71?
a.
71
c.
mc024-3.jpg
b.
mc024-2.jpg
d.
mc024-4.jpg
 

 25. 

One way to find the distance between two points on a graph is to use the distance formula. Frank used the distance formula to find that the distance between two points was mc025-1.jpg. What simplified radical is equivalent to this value?
a.
mc025-3.jpg
c.
mc025-5.jpg
b.
mc025-4.jpg
d.
mc025-6.jpg
 

 26. 

A group of students calculates the height of a tree to be mc026-1.jpg feet. Express this radical in simplest form.
a.
mc026-3.jpg
c.
25
b.
125
d.
mc026-4.jpg
 

Numeric Response
 

 27. 

1,999 students attend a local high school. Of those 1,999 students, 120 of them are on the honor roll. What percent of the students at the high school are on the honor roll, rounded to the nearest whole number?

 

 28. 

What number, multiplied by nr028-1.jpg, will result in a value of nr028-2.jpg?

 

 29. 

The formula nr029-1.jpg can be used to find the distance an object falls, if the length of time (t) it falls is known. The value of a is always nr029-2.jpg. If an object falls for 2 seconds, how far has it fallen, to the nearest foot?

 

 30. 

The formula nr030-1.jpg can be used to find the distance a thrown object travels, if the length of time (t) it travels and the initial speed at which it is thrown (v) are known. The value of a is always nr030-2.jpg. If an object is thrown at a speed of 6 m/s for 2.5 seconds, how far has it gone, to the nearest meter?

 

 31. 

The power, in watts, of an electrical circuit can be found using the formula nr031-1.jpg. In the formula, V is the number of volts and R is the resistance in ohms. Simplify the expression nr031-2.jpg to determine the amount of power, in watts, of the circuit if nr031-3.jpg volts and nr031-4.jpg ohms. Round your answer to the nearest tenth, if necessary.

 

 32. 

Of the teachers at Oakmont High School, 27 speak a foreign language. If this number represents nr032-1.jpg% of the teaching faculty, how many teachers are there at Oakmont?

 

 33. 

A certain bank charges a fee for removing money from an account. When Andrés withdrew his money from the bank, he had $2,800. After removing $200, he had $2,590 left in the bank. The bank had charged a fee of $10. What percent of the withdrawal is the fee?

 



 
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