

1. 
Simplify 2a^{4} + 4a^{2} + a^{4}. 


A. 
3a^{4} + 4a^{2} 
B. 
7a^{10} 


C. 
3a^{8} + 4a^{2} 
D. 
2a^{4} + 4a^{2} + a^{4} 


Hint 


2. 
The formula A = lw finds the area of a rectangle. What is the width of a rectangle whose area is 60 square inches and whose length is 5 inches? 


A. 
12 in. 
B. 
12.5 in. 


C. 
25 in. 
D. 
55 in. 


Hint 


3. 
An antique car was purchased for $7400 and is now worth $10,600. What is the approximate percent of change? 


A. 
43.24% 
B. 
69.81% 


C. 
50% 
D. 
30.19% 


Hint 


4. 
What is the final price of a $125 jacket that is on sale for 35% off? 


A. 
$90 
B. 
$168.75 


C. 
$43.75 
D. 
$81.25 


Hint 


5. 
What is the slope of the line that passes through (8, 4) and (6, 7)? 


A. 

B. 



C. 

D. 



Hint 


6. 
Write an equation in slopeintercept form of a line with a slope of and a yintercept of 2. 


A. 

B. 



C. 

D. 



Hint 


7. 
Solve the inequality 5y + 8 > 4y  3. 


A. 
{y  y > 5} 
B. 
{y  y < 5} 


C. 
{y  y < 11} 
D. 
{y  y > 11} 


Hint 


8. 
Simplify . Assume the denominator is not equal to zero. 


A. 

B. 



C. 

D. 



Hint 


9. 
Evaluate . Express the result in scientific notation. 


A. 
0.8 × 10^{8} 
B. 
8.0 × 10^{7} 


C. 
8.0 × 10^{9} 
D. 
80 × 10^{8} 


Hint 


10. 
Factor 20a^{4}b^{2}  15ab + 30a^{2}b 


A. 
5ab(4a^{3}b  3 + 6a) 


B. 
5(4a^{4}b^{2}  3ab + 10a^{2}b) 


C. 
a^{2}b(20a^{2}b  15 + 30a) 


D. 
5a^{2}b(15a^{2}b  10 + 25a) 


Hint 


11. 
Simplify . 


A. 
2 
B. 



C. 

D. 



Hint 


12. 
Find 


A. 

B. 



C. 

D. 



Hint 


13. 
Write and in order from least to greatest. 


A. 



B. 



C. 



D. 



Hint 


14. 
Solve 42 + w = 27. 


A. 
w = 15 
B. 
w = 69 


C. 
w = 69 
D. 
w = 15 


Hint 


15. 
Graph triangle XYZ, with vertices X(3, 1), Y(1, 5), and Z(5, 5), and its image when reflected over the yaxis. 


A. 



B. 



C. 



D. 



Hint 


16. 
Parallelogram WXYZ has vertices W(2, 2), X(6, 2), Y(3, 5), and Z(1, 5). Find the coordinates of the vertices of the image if the parallelogram is translated 4 units to the left and 7 units up. 


A. 
W´(6, 9), X´(10, 9), Y´(7, 12), Z´(3, 12) 


B. 
W´(2, 5), X´(2, 5), Y´(1, 2), Z´(5, 2) 


C. 
W´(6, 5), X´(10, 5), Y´(7, 2), Z´(3, 2) 


D. 
W´(2, 9), X´(2, 9), Y´(1, 12), Z´(5, 12) 


Hint 


17. 
Find the next three terms of the arithmetic sequence 41, 54, 67, 80,…. 


A. 
91, 102, 113 
B. 
103, 126, 149 


C. 
93, 106, 119 
D. 
95, 110, 125 


Hint 


18. 
Write an equation for the n^{th} term of 3, 8.5, 14, 19.5, …. 


A. 
= n – 4.5 
B. 
= 3.5n 


C. 
= 5.5n – 2.5 
D. 
= 5.5n + 2 


Hint 


19. 
Which of the following is not a necessary condition of all right triangles? 


A. 
The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. 
B. 
The largest angle is 90°. 


C. 
a^{2} + b^{2} = c^{2}, where c is the length of the hypotenuse, and a and b are the lengths of the legs. 
D. 
a < b 


Hint 


20. 
Suppose one runner can run 8 laps in 12 minutes, and another runner can run 8 laps in 10 minutes. If they start at the same time, after how many laps by the fast runner will he lap the slow runner? 


A. 
after 6 laps 
B. 
after 5 laps 


C. 
after 8 laps 
D. 
after 7.5 laps 


Hint 


