# Pre-algebra Mid Term Exam Fall 2011

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Quizzes Created: 10 | Total Attempts: 2,612
Questions: 20 | Attempts: 201  Settings  Please show ALL of your work on a separate piece of paper. You have 2 hours to complete this exam.

• 1.

### Jasmine is building birdhouses.  It takes her  hours to build 4 birdhouses.  Which of the following is an equivalent rate?

• A.

14 hours to build 18 birdhouses

• B.

28 hours to build 35 birdhouses

• C.

7 hours to build 8 birdhouses

• D.

21 hours to build 28 birdhouses

C. 7 hours to build 8 birdhouses
Explanation
The equivalent rate can be determined by finding the ratio of the number of birdhouses to the number of hours. In this case, the ratio for the correct answer is 8 birdhouses in 7 hours. This can be simplified to a rate of 1 birdhouse in 7/8 hours, which is equivalent to 7 hours to build 8 birdhouses.

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• 2.
• 3.

• A.
• B.
• C.
• D.
C.
• 4.
• 5.

### In July 2005 the United States imported approximately 10.3 million barrels of oil per day.  Canada supplied about 16% of the imported oil.  Which of these is closest to the number of barrels of oil the United States imported from Canada each day?

• A.

5.7 million

• B.

1.6 million

• C.

2.1 million

• D.

0.2 million

B. 1.6 million
Explanation
Canada supplied approximately 16% of the 10.3 million barrels of oil that the United States imported in July 2005. To find the number of barrels of oil imported from Canada each day, we can calculate 16% of 10.3 million. This comes out to be 1.648 million barrels. Since we are looking for the closest number, the answer of 1.6 million barrels is the best approximation.

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• 6.

• 7.
• A.
• B.
• C.
• D.
A.
• 8.

### Marcos buys 15 folders that cost \$0.75 each and 6 pens that cost \$1.25 each.  What is the total cost in dollars and cents of the folders and pens, not including tax?

• 9.
• A.

Between 43 units and 45 units

• B.

Between 88 units and 90 units

• C.

Between 8 and 9 units

• D.

Between 9 and 10 units

D. Between 9 and 10 units
• 10.
• 11.

### The expression shown below describes a sequence of numbers. 2n + 3 If n represents the position of a number in this sequence, which sequence of numbers does this expression describe?

• A.

5, 8, 11, 14, 17, ...

• B.

5, 7, 9, 11, 13, ...

• C.

2, 3, 5, 8, 13, 21, ...

• D.

2, 5, 8, 11, 14, ...

B. 5, 7, 9, 11, 13, ...
Explanation
The expression 2n + 3 generates a sequence of numbers where each number is obtained by multiplying the position of the number (n) by 2 and then adding 3. This means that the sequence will start with 3 (when n = 1), then 5 (when n = 2), 7 (when n = 3), and so on. Therefore, the correct answer is 5, 7, 9, 11, 13, ...

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• 12.
• 13.

### Jodie wants to buy a shirt regularly priced at \$20.  The shirt is on sale for 15% off the regular price.  Which equation can be used to determine s, the sale price of the shirt, not including tax?

• A.
• B.
• C.
• D.
A.
Explanation
The equation that can be used to determine the sale price of the shirt, not including tax, is s = 20 - (0.15 * 20). This equation calculates the discount amount by multiplying the regular price by the discount percentage (15%), and then subtracts that amount from the regular price to get the sale price.

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• 14.

• 15.
• A.

F

• B.

G

• C.

H

• D.

J

D. J
• 16.

• 17.

### Tim recorded that 27 out of 63 customers used a shopping cart at a grocery store.  Based on these results, about how many customers out of 350 can be expected to use a shopping cart?

• A.

110

• B.

260

• C.

90

• D.

150

D. 150
Explanation
Based on the given information, Tim recorded that 27 out of 63 customers used a shopping cart. To find out how many customers out of 350 can be expected to use a shopping cart, we can set up a proportion. The proportion is 27/63 = x/350, where x represents the number of customers out of 350. By cross-multiplying, we get 63x = 27 * 350, which simplifies to 63x = 9450. Dividing both sides by 63, we find that x is approximately equal to 150. Therefore, we can expect about 150 customers out of 350 to use a shopping cart.

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• 18.

• 19.

### Which equation best represents the data in the table below? X 0 3 6 9 12 y 3 7 11 15 19

• A.
• B.
• C.
• D.
B.
Explanation
The equation y = 4x + 3 best represents the data in the table. This is because the y-values increase by 4 each time the x-values increase by 3, and the initial y-value is 3 when x = 0.

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• 20.

### Marta is twice as old as Jamie, and Angie is one-fourth the age of Kelly.  Kelly is 8 years older than Marta.  Jamie is 20 years old.  Who is the youngest?

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