Solving Linear Equations
Differentiated Practice
Teacher instructions : Administer the Pre-Assessment that should be used to group students based
on readiness.
For students who need the most support: Teacher should review concepts and assist students with
the odd problems, having students try the even problems independently.
For students on target : Students may work individually or in collaborative pairs.
For students who are ready to take it a step further (extend): Students may work individually or in
collaborative pairs.
Pre-Assessment
MCC9‐12.A.REI.3 Solve linear equations and inequalities in one variable, including
equations with coefficients represented by letters.
Name:
Date:
Solve each equation or formula for the variable specified.
1. x – 4 = 7, for x.
2. 15y + 1 = -14, for y.
3. 3y + a = b, for y.
4.
by  2
 c , for y.
3
5. 6x + 2 + 6x < 14

Period:
Support
Solve each equation or formula for the variable specified.
1. 3x – 10 = 11, for x.
2. 15y + 1 = 31, for y.
3. x – 2y = 3, for x.
4. 3y + a = b, for y.
5. y = mx + b, for m.
6. 3x – 4y = 7, for x.
7. 15y + 1 = x, for y.
8. ex – 2y = 3z, for x.
9.

by  2
 c , for y.
3
10. x 
1
12.  m < 6
3
11. 9x  7x  6
14.
1 1

3 4
2x  2
5
4
14. 3m + 5  m < 21
15. p(t + 1) = -2, for t.
16.

3ax  n
 4 , for x.
5
On Target
Solve each equation or formula for the variable specified.
1. 3x – 4y = 7, for x.
2. 15y + 1 = x, for y.
3. ex – 2y = 3z, for x.
4.
3
y + a = b, for y.
5

6.
by  2
 c , for y.
3

8. km + 5x = 6y, for m.
5. y = mx + b, for m.
7. P 

E2
, for R.
R
3ax  n
 4 , for x.
5
9. p(t + 1) = -2, for t.
10.
Solve each inequality. Show your work.

11. 8y > 16
12. x 
13. 9x  7x  6
14. 0.3x + 5.4  x + 0.2
15. 3y  2(y + 4) > 2
16. 4x  17 < 10x  5
1 1

3 4
Extend
Solve each equation or formula for the variable specified.


1.
3
y + a = b, for y.
5
2. y = mx + b, for m.
3.
by  2
 c , for y.
3
4. P 
5. km + 5x = 6y, for m.
7.

E2
, for R.
R
6. p(t + 1) = -2, for t.
3ax  n
 4 , for x.
5
Solve each inequality. Show your work.

1 1

3 4
8. 8y > 16
9. x 
10. 9x  7x  6
1
11.  m < 6
3
12.
2x  2
5
4
13. 3m + 5  m < 21
14. 18d + 9 + 4d -12 > 24
15. 8m > 16
16. 0.3x + 5.4  x + 0.2
17. 3y  2(y + 4) > 2
18. 4x  17 < 10x  5
19. 2(x + 3) > 8