Algebra 2 Review Test 1 Lessons 1-5
Short Answer
1. Classify the number
as rational, irrational, or
13. Simplify
not a real number.
using the rules of
exponents.
2. Identify the property demonstrated by the equation
12 + 8 = 8 + 12.
14.
equals
15. Simplify
.
3. What property is being demonstrated?
4. Write
simplify.
using the Distributive Property. Then
16. Simplify
.
5. Find the additive and multiplicative inverse of  8 .
17. Simplify
6. Use mental math to find a 11% tax on a $25.00
backpack.
18. Simplify
answer in scientific notation.
1
7. Evaluate 3(x + 7) – 2 if x = 4.
8.
9. Evaluate 1 + 6x3 if x = 5.
10. Simplify the expression by adding like terms.
5x + 9z – 3x + 6z – 9.
20. Identify the domain and range of the relation. Is the
relation a function?
x
y
0
–3
1
–1
2
2
2
5
11. The number of line segments between n points is
. Use the formula to find the number of
segments between 10 points.
.
21. Is the relation a function?
Antonio’s age (years)
Antonio’s height (inches)
22. If
and
11
56
12
57
and write the
19. There are
atoms in 1 gram of carbon.
How many atoms are there in 700 grams of carbon?
Write your answer in scientific notation. If
necessary, round your answer to two decimal
places.
equals
12. Simplify
.
13
58
, find
.
23. A florist delivers flowers. The delivery cost, based
on the distance in miles from the florist shop d, is
given by
.
Evaluate
for
and
, and describe
what the values of the function represent.
14
63
15
65
16
65
24. Two stores carry small, medium, and large sweatshirts. The table shows the inventory at the stores. Display the
data in matrix form. Give the dimensions of the matrix.
Sweatshirt Inventory
Small
Medium
Large
7
19
15
Store A
19
32
23
Store B
25. Find
+
.
26. Find 3B + 4C, if possible.
27. The matrices show how many juniors and seniors at Douglass High School were enrolled in three language classes,
French (F), Spanish (S), and Vietnamese (V), over a three-year period. How many more juniors than seniors were
enrolled in Spanish in the year 2004?
Juniors
Seniors
28. A movie theater marks up tickets by 120%. Use a scalar product to find the marked up prices.
Movie Ticket Prices
Time
Child
Adult
Matinee
$4
$6
Evening
$6
$10
Late Night
$5
$7
29. Find
30. Solve Y:
.