Download Algebra 2 – PreAP

Algebra 2 – PreAP
Diagnostic Review
DO NOT WRITE ON THIS PAPER – CLASS SET – ANSWER ON YOUR OWN PAPER
For #1 – 6, fill in the blanks using the words listed to the right of the picture.
1)
2)
7
2
9
0.5
1
4)
2
1

e
3
2
3
5.312
a)
b)
c)
d)
e)
f)
5 3
5
8
5)
6)
0
3)
Irrational Numbers
Integers ( )
Real Numbers ( )
Whole Numbers
Natural/Counting Numbers (
Rational Numbers ( )
)
7
2
For #7-14, name the property each equation illustrates using the properties listed below.
7)
40  4
8)
n 1  n
9)
(a  b)  c  a  (b  c)
10)
2  5  10
11)
5  (5)  0
12)
3 2  2  3
13)
a  b  c   ab  ac
14)
3 4
 1
4 3
a)
b)
c)
d)
e)
f)
Commutative Property
Multiplicative Inverse Property
Additive Inverse Property
Associative Property
Closure Property
Distributive Property
g) Multiplicative Identity Property
h) Additive Identity Property
For #15 – 20, simplify each radical expression.
15)
50
16)
4
3
17)
320
18)
8
3
19) 2 5  7 5
20)
8 5 2
For #21 and 22, answer as indicated.
21) Regan runs and bicycles every day for a total of 60 minutes. Her body uses 9 calories per minute
during running and 7 calories per minute during bicycling. Let r represent the number of minutes Regan
runs. Write and simplify an expression for the total calories Regan uses running and bicycling each day.
22) Enrique is baking muffins and bread. He wants to bake a total of 10 batches. Each batch of muffins
bakes for 30 minutes and each batch of bread bakes for 50 minutes. Let m represent the number of
batches of muffins. Write an expression for the total time in minutes required to bake a combination of
muffins and bread if each batch is baked separately.
For #23-25, solve each equation.
24) 5  x  6  3x 18  2 x
23) 6 y  21  7  4 y  20  5 y
25) 3  2  3x   7 x  2  x  3
For #26-30, solve each compound inequality.
26) 2x – 3 ≥ 7 or x + 5 < 2
27) -3x – 3 > 6 and x + 9 > 2
29) 15x + 10 > 40 and 9x < -36
28) x – 4 < 4 or x + 5 > -3
30) 3 + 5x > 2x – 15 and 3(1 – 3x) + 6 < 18
For #31-35, graph each line on graph paper.
31) A line whose slope is 
33) y  3
34)
y
2
and passes through the point 1, 1
3
3
x  4 using slope and y-intercept
2
32) x  5
35) 2 x  3 y  12 using intercepts
For #36-38, write the equation of each line described in the indicated form.
36) A line perpendicular to y 
5
x  4 passing through the point 1,  1 - slope-intercept form
9
37) A line parallel to y  2 x  7 passing through the point  2,  7  - standard form
38) A line passing through points  1, 3 and 1,  4  - slope-intercept form
For #39 and 40, fill in the blank.
39) The slope of a horizontal line is _________.
40) Vertical lines have __________ slope.