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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, , , 0.6215, from least to greatest.
 a. 7, , , 0.6215, c. , 0.6215, , , 7 b. , 7, , 0.6215, d. , 0.6215, , 7,

2.

What statement can be determined from the diagram?

 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 by rationalizing the denominator.
 a. c. b. d.

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. b. 10 – x d. 10 + x

5.

Simplify the expression .
 a. c. b. d.

6.

Simplify the expression .
 a. c. –4 b. d. 0

7.

Solve .
 a. = 4 c. = –1 b. = –11 d. = 5

8.

Solve .
 a. The solution set is all real numbers, or . b. The solution set is the empty set. c. d.

9.

Solve and graph .
 a. x ³ b. The inequality has no solution. The solution set is the empty set. c. The solution set is the set of all real numbers. d. x ³

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 is vertical or horizontal. Then graph.
 a. The line is horizontal. c. The line is vertical. b. The line is horizontal. d. The line is vertical.

12.

Classify the system , 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 .
 a. c. b. d.

14.

Graph the linear equation in three-dimensional space.
 a. c. b. d.

15.

Use elimination to solve the system of equations .
 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.

 a. (2, 0) c. (78, –72) b. (12, –13) d. (13, –12)

17.

Find the determinant of .
 a. 192 c. –51 b. 51 d. –20

18.

Write the matrix equation for the system , and solve.
 a. ;(–44, –39) b. ;(–46, 41) c. ;(–6, 49) d. ;(–53, 6)

19.