ExamView - A.REI.B.3.SolvingLinearEquations2b.tst

Regents Exam Questions
A.REI.B.3: Solving Linear Equations 2b
Name: ________________________
www.jmap.org
A.REI.B.3: Solving Linear Equations 2b
1 Which value of x is the solution of the equation
1 5
2
x  ?
2 6
3
2 In the equation
12 Which value of x is the solution of the equation
1 2x 15x  3


?
21
7 3
1
1
n  5  5 , n is equal to
2
4
13 Which value of x is the solution of
3 What is the solution set of the equation
x x
  14?
5 2
4 What is the value of x in the equation
x x1

 x?
2
3
14 The number of people on the school board is
represented by x. Two subcommittees with an
equal number of members are formed, one with
2
x
x  5 members and the other with members.
3
4
How many people are on the school board?
x x
  2?
2 6
5 Which value of x is the solution of the equation
2x x
  5?
3 6
15 What is the value of x in the equation
x2 1 5
  ?
6 6
3
6 What is the value of x in the equation
5
3
x  2  x  6?
4
4
16 Solve for x:
1 1
1
x 
4 2
16
17 Solve for x:
x  3 2x

7
7
2
18 Solve for x:
x  3 4x

4
3
5
19 Solve for m:
m 3(m  1)

 2(m  3)
5
2
7 What is the value of w in the equation
1
3
w  8  w  7?
3
4
8 What is the value of w in the equation
1
w  7  2w  2?
2
9 Solve for x:
3
(x  2)  x  4
5
20 Solve:
10 Which value of x satisfies the equation
7 ÊÁÁÁ
9 ˆ˜˜˜
x

 20?
Á
3 ÁË
28 ˜˜¯
3x  1 4x  5 8  x 2x  5



3
4
6
8
21 Solve: 2x  1 
22 Solve:
11 Which value of x is the solution of
2x 1 7x  2
 
?
15
5 3
1
2x  2 3x  1 x  1


2
5
4
4x  2 x
x3 x3

x 
 5
3
6
3
2
ID: A
A.REI.B.3: Solving Linear Equations 2b
Answer Section
1 ANS:
1
2
2x 1 5
 
3 2 6
2x 1

3
3
6x  3
x
1
2
REF: 011112ia
2 ANS:
2
REF: 080708a
3 ANS:
{20}
REF: 010507a
4 ANS:
3
REF: 010719a
1
ID: A
5 ANS:
6
(2x  6)  (3  x)
5
36
12x  3x
5
18
15x  90
x6
REF: 060907ia
6 ANS:
16
REF: 010204a
7 ANS:
36
REF: 080620a
8 ANS:
6
REF: 060704a
2
ID: A
9 ANS:
13
3
(x  2)  x  4
5
3(x  2)  5(x  4)
3x  6  5x  20
26  2x
x  13
REF: 080909ia
10 ANS:
8.25
7 ÊÁÁÁ
9 ˆ˜˜˜
 20
x

Á
3 ÁË
28 ˜˜¯
7
3 80
x 
3
4
4
7
77
x
3
4
x
33
 8.25
4
REF: 061405ai
11 ANS:
7
2x 1 7x  2
 
5 3
15
(2x  3)  (5  1) 7x  2

53
15
6x  5 7x  2

15
15
6x  5  7x  2
x7
REF: 080820ia
3
ID: A
12 ANS:
6
1 2x 15x  3


21
7 3
14x  3 15x  3

21
21
14x  3  15x  3
x6
REF: 011328ia
13 ANS:
3
x x1

x
3
2
2x  3(x  1)
x
6
5x  3  6x
3x
REF: 061019ia
14 ANS:
12
REF: 060418a
15 ANS:
4
x2 4

6
3
6x  12  12
6x  24
x4
REF: 081420ai
4
ID: A
16 ANS:
.
4.
.
REF: 010636a
17 ANS:
7
REF: 069405siii
18 ANS:
3
REF: 069803siii
19 ANS:
m 3(m  1)

 2(m  3)
5
2
2m 15(m  1)

 2m  6
10
10
17m  15
 2m  6
10
17m  15  20m  60
45  3m
15  m
REF: 081139ia
20 ANS:
5

2
REF: 019104al
21 ANS:
3
REF: 069805al
22 ANS:
5
REF: 089606al
5