Download Basic Algebra Final Review

Algebra
UNIT
Required Skills:
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
MIDTERM EXAM REVIEW
6 INEQUALITIES (YELLOW NOTES)
Graph inequalities.
Write inequalities based on a graph.
Solve inequalities by using addition.
Solve inequalities by using subtraction.
Solve inequality word problems using addition and subtraction.
Solve inequalities by using multiplication.
Solve inequalities by using division.
Solve inequality word problems using multiplication and division.
Solve inequalities involving more than one operation.
Solve inequalities involving grouping symbols.
Solve inequalities involving fractions.
Solve inequality word problems using more than one operation.
Graph compound inequalities.
Write compound inequalities based on a graph.
Solve compound inequalities.
Write an inequality for each of the following verbal sentences.
1)
Twice a number increased by seven is at most -11.
2)
-78 is less than the quotient of a number and six.
3)
Eight less than four times a number is no more than thirteen more than a number.
4)
Twelve decreased by a number is greater than five plus a number.
Graph each of the following inequalities on a number line.
5)
x  -7
MCD/LPG/MPH 1/13
6)
3>c
1
Algebra
7)
w > 10
8)
9)
-2  y < 7
10) k > 4 or k < -1
11) f > -3 and f  8
-2  m
12) n  7 and n  0
Write an inequality for each of the following graphs.
13)
14)
15)
16)
17)
18)
Solve and each of the following inequalities.
19) -7b + 19  -16
MCD/LPG/MPH 1/13
20) 3n – 18 > 5n + 21
2
Algebra
21)
2
3
x-4 < 6
22) 3 (a – 7) + 9  21
23) 5 (2h – 6) – 7 (h + 7) > 4h
24) 3 – 3 (b – 2)  13 – 3 (b – 6)
25) n + 5 < -4 or n - 6  13
26) -3x < 6 or x + 5 > 17
27) -10  5h + 8 < 26
28) 2c – 4  -10 and 4c + 1 < 7
MCD/LPG/MPH 1/13
3
Algebra
Solve each of the following word problems. Show the following steps.
 LET statement
 Inequality
 Solve the inequality
 Answer in sentence form
29) Eight more than three times a number is at least seven less than five times the
number. What is the number?
30) The quotient of a number and six increased by ten is less than twice the number.
Find the number.
MCD/LPG/MPH 1/13
4