Algebra 2 Test 8 REVIEW
Simplify. Identify any excluded values.
1.
11. Determine whether the graph is continuous,
discontinuous, and/or discrete. If the function is
discontinuous, name the x-value(s) where the
discontinuity occurs.
y
2.
8
6
3.
4
4. Find the value of z. Give the answer in simplest
radical form.
2
O
–8 –6 –4 –2
–2
y
5
2
4
6
8
x
–4
4
3
–6
2
–8
1
O
–5 –4 –3 –2 –1–1
1
2z 3
4
5
x
–2
x
y
–3
–4
–5
2
17
4
11
13. Given
5. Find the permutation of 9 objects taken 3 at a time.
8
16
10
27
14
28
16
30
20
41
22
46
; D = {Reals},
; D = {Integers} find
numerically .
14. Determine whether (12, 5), (14, 5), and (7, –3) are
solutions of the system of linear inequalities.
6. Solve for x, y, and z.
7. Divide
12. Make a scatter plot of the data set. Sketch a line of
best fit, and give the equation of the line.
by
.
15. Solve the system of equations by substitution.
8. Subtract the rational expression.
Simplify.
16. Determine the vertex and axis of symmetry of
.
17. Divide, and then evaluate for x = –1, y = 3.
9.
10.
18. Graph
by solving for y to obtain
slope-intercept form.
19. Draw a box and whisker plot to display the following data.
10, 7, 11, 14, 10, 7, 10, 11, 5
20. A line with a slope –10 crosses the y-axis at the
point
. What is the equation of this line written
in slope-intercept form?
25. Divide
.
26. Solve for matrix X.
21. Graph
.
22. Identify any excluded values. Then simplify the
expression.
27. Graph
by solving for y to obtain
slope-intercept form.
23. Solve the system of linear equations. Determine
whether the system is consistent or inconsistent.
28. Find the roots of
.
29. What is the relationship between the graphs of
and
?
30. Find the equation of the line that passes through the
point
and is perpendicular to the line
.
24. Multiply, and then evaluate for x = 4:
31. Find the least common denominator.
32. Simplify the expression.
33. Divide
34. Divide
35. Graph
36. Graph
by
by
.
.
by using slope-intercept form.
by using slope-intercept form.
Algebra 2 Test 8 REVIEW
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
Lesson 44: Rationalizing Denominators
Lesson 28: Simplifying Rational Expressions
Lesson 40: Simplifying Radical Expressions
Lesson 41: Using the Pythagorean Theorem and the Distance Formula
Lesson 42: Finding Permutations and Combinations
Lesson 5: Using Matrices to Organize Data and to Solve Problems
Lesson 38: Dividing Polynomials Using Long Division
Lesson 37: Adding and Subtracting Rational Expressions
Lesson 40: Simplifying Radical Expressions
Lesson 40: Simplifying Radical Expressions
Lesson 22: Analyzing Discrete and Continuous Functions
Lesson 45: Finding the Line of Best Fit
Lesson 20: Performing Operations with Functions
Lesson 43: Solving Systems of Linear Inequalities
Lesson 21: Solving Systems of Equations Using the Substitution Method
Lesson 30: Applying Transformations to the Parabola and Determining the Minimum or Maximum
Lesson 31: Multiplying and Dividing Rational Expressions
Lesson 34: Graphing Linear Equations II
Lesson 25: Finding Measures of Central Tendency and Dispersion
Lesson 26: Writing the Equation of a Line
Lesson 27: Connecting the Parabola with the Quadratic Function
Lesson 28: Simplifying Rational Expressions
Lesson 29: Systems of Three Equations and Three Variables
Lesson 31: Multiplying and Dividing Rational Expressions
Lesson 31: Multiplying and Dividing Rational Expressions
Lesson 32: Solving Linear Systems with Matrix Inverses
Lesson 34: Graphing Linear Equations II
Lesson 35: Solving Quadratic Equations I
Lesson 36: Using Parallel and Perpendicular Lines
Lesson 36: Using Parallel and Perpendicular Lines
Lesson 37: Adding and Subtracting Rational Expressions
Lesson 37: Adding and Subtracting Rational Expressions
Lesson 38: Dividing Polynomials Using Long Division
Lesson 38: Dividing Polynomials Using Long Division
Lesson 39: Graphing Linear Inequalities in Two Variables
Lesson 39: Graphing Linear Inequalities in Two Variables