Algebra Review
 
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Algebra Review

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

 1. 

Which set of numbers is ordered from least to greatest?
a.
mc001-1.jpg; mc001-2.jpg; 1; mc001-3.jpg; 4
c.
4; mc001-7.jpg; 1; mc001-8.jpg; mc001-9.jpg
b.
mc001-4.jpg; mc001-5.jpg; mc001-6.jpg; 1;  4
d.
mc001-10.jpg; mc001-11.jpg; 1; 4;  mc001-12.jpg
 

 2. 

The area of a square is 8 square meters.  Which of these is closest to the length of one side of the square?
a.
2 meters
c.
3.5 meters
b.
2.8 meters
d.
4 meters
 

 3. 

Light travels at a speed of about mc003-1.jpg meters per second.  Express this number in standard notation.
a.
299,800,000
c.
0.0000002998
b.
0.00002998
d.
29,980,000
 

 4. 

A thunderstorm cloud holds about 6,200,000,000 raindrops.  Which of the following shows this number in scientific notation?
a.
mc004-1.jpg
c.
mc004-3.jpg
b.
mc004-2.jpg
d.
mc004-4.jpg
 

 5. 

Jake goes to the grocery store and buys 3 apples, 2 cans of soup, and 1 box of cereal.  The apples cost $0.89 each; the soup costs $2.98 per can; and the box of cereal costs $4.99.  Write an equation that represents the total cost c of Jake’s purchases.
a.
mc005-1.jpg
b.
mc005-2.jpg
c.
mc005-3.jpg
d.
mc005-4.jpg
 

 6. 

Mr. Thomas wants to buy a boat.  He must make 48 monthly payments to pay back the amount he borrowed, plus interest.  His monthly payment is $161.85.  What other information is necessary to determine the amount of money Mr. Thomas borrowed from the bank?
a.
How much Mr. Thomas makes per month
b.
The interest rate the bank charges
c.
How much the boat costs
d.
How much the value of the boat will increase
 

 7. 

Barb walked 1.3 miles to her friend’s house and then mc007-1.jpg mile to the library.  How far did Barb walk in all?
a.
1mc007-2.jpg miles
c.
2mc007-4.jpg miles
b.
1mc007-3.jpg miles
d.
2mc007-5.jpg miles
 

 8. 

On average, a dog runs 5.5 times faster than a child.  Which equation can be used to find s, the speed of a dog, given r, the speed of the child?
a.
mc008-1.jpg
c.
mc008-3.jpg
b.
mc008-2.jpg
d.
mc008-4.jpg
 

 9. 

Ricky jogs 5 laps around a track in 480 seconds.  Which of the following would be the same number of laps per minute?
a.
7 laps in 9.6 minutes
c.
12 laps in 9.2 minutes
b.
10 laps in 15.6 minutes
d.
8 laps in 20 minutes
 

 10. 

What is the slope and y-intercept of the equation mc010-1.jpg?
a.
mc010-2.jpg, mc010-3.jpg
c.
mc010-6.jpg, mc010-7.jpg
b.
mc010-4.jpg, mc010-5.jpg
d.
mc010-8.jpg, mc010-9.jpg
 

 11. 

Aleta went to dinner.  The bill was $36.  She gave the waiter a 15% tip.  What was the total amount Aleta spend on the food and the tip?
a.
$36.15
c.
$38.40
b.
$37.50
d.
$41.40
 

 12. 

What is true concerning the lines graphed by the system of equations shown below?

mc012-1.jpg
a.
The lines intersect.
c.
The lines are parallel.
b.
The lines are perpendicular.
d.
The lines are the same.
 

 13. 

Which algebraic expression can be used to find the nth term in the following sequence?

6, 10, 14, 18, 22,...
a.
mc013-1.jpg
c.
mc013-3.jpg
b.
mc013-2.jpg
d.
mc013-4.jpg
 

 14. 

A photo with a length of 3 inches and a width of 5 inches is enlarged to poster size.  The poster and the phot are similar.  The length of the poster is 21 inches.  What is the width of the poster?
a.
7.2 inches
c.
19 inches
b.
12.6 inches
d.
35 inches
 

 15. 

Rectangle ABCD is shown on the coordinate grid below.  Which of the following graphs represents Rectangle ABCD over the following: mc015-1.jpg?

mc015-2.jpg
a.
mc015-3.jpg
c.
mc015-5.jpg
b.
mc015-4.jpg
d.
mc015-6.jpg
 

 16. 

A rectangle is cut along its diagonal.  The measure of mc016-1.jpg is mc016-2.jpg.  What is the measure of mc016-3.jpg?

mc016-4.jpg
a.
mc016-5.jpg
c.
mc016-7.jpg
b.
mc016-6.jpg
d.
mc016-8.jpg
 

 17. 

A farmer wants to fence in part of her land so that her chickens will have their own little area.  If she only has 28 feet of fence, what is the area of the largest pen that she can build?
a.
48 square feet
c.
196 square feet
b.
49 square feet
d.
784 square feet
 

 18. 

Jason is experimenting with different ramps to replace the stair step into his house.  The table below shows the measure of a given angle m and its complement.

mc018-1.jpg

Based on the table, which of the following statements is true?
a.
As the measure of mc018-2.jpg decreases, its complement decreases by 10 degrees.
b.
mc018-3.jpg and its complement form an acute angle.
c.
The sum of the measures of mc018-4.jpg and its complement is 90.
d.
Subtracting 45 from the measure of mc018-5.jpg will determine its complement.
 

 19. 

Robin’s neighborhood is mapped out on the graph below.

mc019-1.jpg

Which ordered pair shows the location of the library?
a.
mc019-2.jpg
b.
mc019-3.jpg
c.
mc019-4.jpg
d.
mc019-5.jpg
 

 20. 

The figure below is a net of a rectangular prism with a length of 14 yards, a width of 12 yards, and a height of 4 yards.

mc020-1.jpg

What is the surface area of the prism?
a.
180 square yards
c.
600 square yards
b.
672 square yards
d.
544 square yards
 

 21. 

A cylindrical water tower is 24 feet high and has a diameter of 20 feet.  Approximately how many cubic feet of water could the tower hold?
a.
2,400 cubic feet
c.
9,600 cubic feet
b.
7,500 cubic feet
d.
30,200 cubic feet
 

 22. 

The delivery ramp at the Corner Cafe is a right triangle.  The hypotenuse is 4 meters long.  One leg is 3 meters long.  What is the length of the other leg?
a.
mc022-1.jpg meters
c.
3.5 meters
b.
mc022-2.jpg meters
d.
5 meters
 

 23. 

The triangles below are similar triangles.  Find the value of x and y.

mc023-1.jpg
a.
mc023-2.jpg; mc023-3.jpg
c.
mc023-6.jpg; mc023-7.jpg
b.
mc023-4.jpg; mc023-5.jpg
d.
mc023-8.jpg; mc023-9.jpg
 

 24. 

The following figures are formed using a semicircle and a rectangle.

mc024-1.jpg

Based on this pattern, what will be the area of the next figure?
a.
266.625 cm2 because the next figure will decrease in area by mc024-2.jpg the previous figure.
b.
173.25 cm2 because the next figure will decrease in area by 360 cm2.
c.
353.25 cm2 because the next figure will decrease in area by 180 cm2.
d.
433.25 cm2 because the next figure will decrease in area by 90 cm2.
 

 25. 

Four cards numbered 1, 5, 8, and 9 are placed in a bag.  A card is drawn at random and then replaced.  Then a card is drawn at random again.  What is the probability that both cards drawn have the number 9?
a.
mc025-1.jpg
b.
mc025-2.jpg
c.
mc025-3.jpg
d.
mc025-4.jpg
 

 26. 

Twelve members of band purchased one beverage each during a break at practice.  Exactly 5 of the 12 members bought bottled water.  At this rate, how many band members would you expect to buy bottled water, if all 168 members purchase a beverage?
a.
12
b.
70
c.
98
d.
138
 

 27. 

A company has five employees.  Their annual earnings, in dollars, are shown below.

mc027-1.jpg

Which of the following measures best represents the typical annual earnings of an employee of the company?
a.
mean
c.
mode
b.
median
d.
range
 

 28. 

The scatter plot below shows the yearly advertising expenditures and the relative sales for a small company.  What can be concluded from this data?

mc028-1.jpg
a.
As advertising increases, sales tend to decrease.
b.
As advertising increases, sales tend to increase.
c.
As advertising increases, sales remain the same.
d.
As advertising increases, sales always increase..
 

 29. 

Last month, Enrico gave 25% of his salary to charity, put 25% into savings, spent 20% on food, spent 20% on rent, and spent the remaining amount on vacation.  Which pie graph best shows how Enrico use his salary last month?
a.
mc029-1.jpg
c.
mc029-3.jpg
b.
mc029-2.jpg
d.
mc029-4.jpg
 

 30. 

A survey is taken to determine which type of vehicle is most popular.  The data is shown in the bar graph below.

mc030-1.jpg

What can you conclude about the survey?
a.
The survey is biased because most men do not favor sports vehicles.
b.
The survey is biased because there are more men surveyed than women.
c.
The survey is not biased because sports cars are most popular among both men and women.
d.
The survey is not biased because all car types are favored by both men and women.
 



 
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