ALGEBRA U9Name ______
REVIEW SHEET
1.Stewart and Beth went to a Mexican restaurantfor dinner. Stewartordered 3 tacos and 2 burritos for $18.50. Bethordered 2 tacos and 4 burritos for $23. Let x equal the price of one taco and y equal the price of one burrito. How much does a taco and a burrito each cost?
2. Factor: b2 + 5b – 243.Factor:
4. Factor:5.Factor:
6.Simplify: -4c3d4(3c2 – 5cd)
7.When 14x5 – 10x4 + 6x2 is divided by 2x2, the quotient is
(1) 12x3 – 5x2 + 3(3) 12x3 – 8x2 + 4
(2) 7x7 – 5x6 + 3x4(4) 7x3 – 5x2 + 3
8. Which expression is equivalent to ?
(1)(3)
(2) (4)
9.Factor the expression x4 + 4x2 – 5 completely.
10.Which formula below represents the sequence 432, 72, 12, 2, …
(1) (2) (3) (4)
11.Find the common ratio of the following sequence:
(1)3(2) -3(3) (4)
12.Ms. Harris bought land in Lancaster. The function represents the value V(t), in dollars, of the land, t years after its purchase. The yearly rate of appreciation of the land is
(1) 0.078(2) 78%(3) 1.078%(4) 7.8%
13.Write in simplest radical form:a)b)
14.What is expressed in simplest radical form?
(1)(2) (3) (4)
15.When factored completely, the expression is equivalent to
(1)
(2)
(3)
(4)
16.H is a function such that is defined on the domain of .
The rangeof the function is
(1)[3,9](3)
(2)(4)[12,42]
17.The length of a rectangular deck is represented by 3a – 2 feet. The area of the deck is 27a3 – 18a2 square feet.
Determine the dimensions of the deck.
Determine the perimeter of the deck as a binomial in terms of a.
18.A pattern of blocks is shown below.
If the pattern of blocks continues, which formula could be used to determine the number of blocks in the nth term?
(1) an = n + 4 (2) an = 2n + 1(3) an = 2n – 1(4)an = 4n – 2
19.Simplify:
20.If the area of a rectangle is expressed as , then the product of the length and the width of the rectangle could be expressed as
(1) (3)
(2) (4)
21.Kelly has been training to run across the country. On the first day, she ran 4 miles, the second day 12 miles, and the third day 36 miles.
Write an equation that models Kelly’s situation.
Using the equation you created, how many miles did Kelly run on day 7?
22.Simplify:
23.The diagrams below represent the first three terms of a sequence.
Assuming the pattern continues, which formula determines, the number
of shaded squares in the nth term?
(1)(3)
(2)(4)
24.Miss Jenkins asked her class “ Is the sum of 3.7 and rational or irrational?” Jodi answered that the sum would be rational.
State whether Jodi is correct or incorrect. Justify your reasoning.
25.The graph of an inequality is shown to the right.
a. Write the inequality represented by the graph.
b. On the same set of axes, graph the inequality -x + 3y < 6.
c. Choose a point in the solution area.
26.The graph of the function f is shown at the right. Find each of the following.
a.f(-6)=
b.x if f(x) = 5
c. State the domain:
d. State the range:
e. Is this a function, explain why or why not?