Algebra II Summer Review
Show your work on notebook paper that leads to your answer. Place all answers
on the answer sheet provided.
Order of Operations:
Evaluate each expression. Write your answer in simplest form.
Fractions:
Evaluate each expression. Write your answer in simplest form. Where
applicable, leave your answers as improper fractions (reduce, reduce, reduce.
NO DECIMALS!)
Exponents:
Evaluate each expression. Write your answer in simplest form. Where
applicable, leave your answers as improper fractions. The simplified expression
should not have negative exponents.
19.
x 2 y 18 x 4 y 2
i
3x3 y 3 xy 6
20.
2 x −2 y 3x 4
i
3x 2 y −3 8 y −2
Radicals:
Evaluate each expression. Rationalize the denominator where necessary.
21.
45
22.
a5b10
24.
81
x2
25.
8
3
23.
18 i 12
Simplifying Expressions:
Simplify each expression. Write your answers in simplest form.
26
27
28
29
..
30.
simp
Solving Equations:
Solve each of the following equations for x.
31
32
33.
34
35
36
.
37
38
.
Solve each equation for the indicated variable.
39. ax + r = 7, for x
40. y = 3x + 3b, for b
Solving Inequalities:
Solve each of the following inequalities for x. Write your solution using
inequalities and using a number line.
Solve each of the following compound inequalities for x. Write your solution
using inequalities and using a number line.
Linear Graphs:
Hint: slope intercept form….y = mx+b
Multiplying, Factoring, and Solving Polynomial Expressions
and Equations:
Use the FOIL method to find each product.
60. (3x – 2)(x + 1)
61. (2x – 9)(3x – 8)
62. (3x – 5)2
63. (x + 4)(x – 4)
Find the greatest common factor and factor it out of the expression.
Factor each expression completely.
Functions.
72. Does the relation described by the set of ordered pairs,
{(0, -6), (-1, -4), (1, -12), (2, -22}, represent a function?
73. Does the relation described by the following graph represent a function?
74. If f ( x) = −2( x − 3)2 + 5 , find f ( −1) .
75. If f ( x ) = 2 x + 1 , find f (4) .