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Algebra 2
Chapter 1 Review
Name: __________________
TRUE OR FALSE. CORRECT THE FALSE.
____True_________1. A correlation of 0.9 is stronger than a correlation of –0.2.
__False_________2. When you add a negative when solving inequalities, you
must flip the sign.
____False_______3. All real numbers are the solutions to n > 3 and n < 7.
__False_________4. x  3  5 has no solution.
_True_________ 5. -5.3 is a real and rational number.
____False______ 6. (a+b) +c = (b+a) +c is an example of the associative
property.
SHOW ALL WORK!
7) What is the equation of the line that contains the point (-1, 5) and is parallel
to the line y = 4x + 8? (Recall parallel has the same slope.)
y - 5 = 4 ( x + 1)
y = 4x + 9
8) Write an equation of a line in slope intercept form that passes through the
points (4, 6) and (4, 3).
x= 4
9) Write an equation of a line in slope intercept form that passes through the
points ( 4, -3) and (6, -7).
y = -2x + 5
10) Decide whether the given tables are linear. If yes, please write an equation.
X
0
1
4
Y
6
8
14
Yes
Y=2x+6
X
-1
-2
-3
-4
Y
3
6
12
24
no
11) Find the solution or solutions to the equation 2 x  4  3x  7 .(Be sure to
check your answer(s).
x=-3/5
12) Solve.
4x  7  16  6x
x £ 23 /10
13) Solve and graph on a number line. 5x  2  18
All real Numbers
14) Solve and graph.
5x + 9 > 15 + 4x
x>6
15). Solve and graph.
x + 8  3 or 2x – 1  5
x £ -5 or x ³ 3
16) Solve.
k
3
8
17) Solve. 2 x  4  14
k=-24
x=5, x=-9
18) Solve and graph. 4  2 x  6
-1 £ x £ 5
19)
x
y
2
5
5
10
9
15
15
22
22
35
30
50
40
70
a. Find the correlation coefficient. Describe the correlation.
R=.99
b. Find an equation of the line of best fit. ___y=1.69x-0.14_____________
(round to the nearest hundredth)
c. Use your equation to predict y when x = 12.
20.14
20) Graph the following.
3x + 2y = 5
21) A salesperson earns w = 125 + 10n, where n is the number of products sold,
and w is his/her weekly wage, in dollars. Identify the y-intercept and the slope,
and explain their meaning in practical terms.
Y intercept =125, base salary
Slope 10 dollars//item
HODGE-PODGE.
SIMPLIFY THE FOLLOWING:
22)
8x2 – 15x2
-7x2
23)
 4m n  5m n 
2
8
3
-20m10 n4
24)
 4ab 
6
64a3b18
SOLVE AND CHECK THE FOLLOWING:
25)
p 4
7
 9  12
p=151
27)
2(3x  7)  8x  9  12  4(5x  1)
x=31/34
7
w
 5  10
w=-7/15
29)
26)
28)
q 9
7

q 3
5
q=33
2
 4x  5   6
3
x=7/2
30)
x=-2/5
3
3 2
1
 x
5 3
3