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Algebra 2 Xtra Practice

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

 1. 

Order the numbers 7, mc001-1.jpg, mc001-2.jpg, 0.6215, mc001-3.jpg from least to greatest.
a.
7, mc001-7.jpg, mc001-8.jpg, 0.6215, mc001-9.jpg
c.
mc001-13.jpg, 0.6215, mc001-14.jpg, mc001-15.jpg, 7
b.
mc001-10.jpg, 7, mc001-11.jpg, 0.6215, mc001-12.jpg
d.
mc001-16.jpg, 0.6215, mc001-17.jpg, 7, mc001-18.jpg
 

 2. 

What statement can be determined from the diagram?

mc002-1.jpg
a.
Every square is a rhombus.
b.
Every rhombus is a square.
c.
No parallelogram is a rhombus.
d.
No parallelogram is a square.
 

 3. 

Simplify mc003-1.jpg by rationalizing the denominator.
a.
mc003-6.jpg
c.
mc003-8.jpg
b.
mc003-7.jpg
d.
mc003-9.jpg
 

 4. 

Write an algebraic expression to represent the number of letters Isabel wrote.
Isabel wrote 10 letters to friends each month for x months in a row.
a.
10x
c.
mc004-1.jpg
b.
10 – x
d.
10 + x
 

 5. 

Simplify the expression mc005-1.jpg.
a.
mc005-4.jpg
c.
mc005-6.jpg
b.
mc005-5.jpg
d.
mc005-7.jpg
 

 6. 

Simplify the expression mc006-1.jpg.
a.
mc006-5.jpg
c.
–4
b.
mc006-6.jpg
d.
0
 

 7. 

Solve mc007-1.jpg.
a.
mc007-12.jpg = 4
c.
mc007-14.jpg = –1
b.
mc007-13.jpg = –11
d.
mc007-15.jpg = 5
 

 8. 

Solve mc008-1.jpg.
a.
The solution set is all real numbers, or mc008-6.jpg.
b.
The solution set is the empty set.
c.
mc008-7.jpg
d.
mc008-8.jpg
 

 9. 

Solve and graph mc009-1.jpg.
a.
x ³ mc009-7.jpg
mc009-8.jpg
b.
The inequality has no solution. The solution set is the empty set.
mc009-9.jpg
c.
The solution set is the set of all real numbers.
mc009-10.jpg
d.
x ³ mc009-11.jpg
mc009-12.jpg
 

 10. 

A sawyer (person who cuts down trees) wants to know the height of a tree. The sawyer measures the shadow of his friend, who is 5 feet tall and standing beside the tree, and measures the shadow of the tree. If his friend’s shadow is 12 feet long and the tree’s shadow is 60 feet long, how tall is the tree?
a.
144 feet
c.
25 feet
b.
1 foot
d.
53 feet
 

 11. 

Determine if mc011-1.jpg is vertical or horizontal. Then graph.
a.
The line is horizontal.
mc011-3.jpg
c.
The line is vertical.
mc011-5.jpg
b.
The line is horizontal.
mc011-4.jpg
d.
The line is vertical.
mc011-6.jpg
 

 12. 

Classify the system mc012-1.jpg, and determine the number of solutions.
a.
The system is inconsistent and independent and has no solutions.
b.
The system is inconsistent and dependent and has no solutions.
c.
The system is consistent and dependent and has infinitely many solutions.
d.
The system is consistent and independent and has infinitely many solutions.
 

 13. 

Graph the system of inequalities mc013-1.jpg.
a.
mc013-4.jpg
c.
mc013-6.jpg
b.
mc013-5.jpg
d.
mc013-7.jpg
 

 14. 

Graph the linear equation mc014-1.jpg in three-dimensional space.
a.
mc014-6.jpg
c.
mc014-8.jpg
b.
mc014-7.jpg
d.
mc014-9.jpg
 

 15. 

Use elimination to solve the system of equations mc015-1.jpg.
a.
(–6, –13.2, 0.7)
c.
(5, 0, 4)
b.
(14.1, –8.6, –3.2)
d.
(10, 12, 3)
 

 16. 

Use Cramer’s rule to solve the system of equations.

mc016-1.jpg
a.
(2, 0)
c.
(78, –72)
b.
(12, –13)
d.
(13, –12)
 

 17. 

Find the determinant of mc017-1.jpg.
a.
192
c.
–51
b.
51
d.
–20
 

 18. 

Write the matrix equation for the system mc018-1.jpg, and solve.
a.
mc018-7.jpg;
(–44, –39)
b.
mc018-8.jpg;
(–46, 41)
c.
mc018-9.jpg;
(–6, 49)
d.
mc018-10.jpg;
(–53, 6)
 

 19. 

Add. Write your answer in standard form.
mc019-1.jpg
a.
mc019-5.jpg
b.
mc019-6.jpg
c.
mc019-7.jpg
d.
mc019-8.jpg
 

 20. 

Use Pascal’s Triangle to expand the expression mc020-1.jpg.
a.
mc020-5.jpg
b.
mc020-6.jpg
c.
mc020-7.jpg
d.
mc020-8.jpg
 



 
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