Equation Ascent Progress Worksheet IEP Progress Monitor Probe #1 • Target: 80% Accuracy
Equation Ascent Progress Worksheet
Objective: Isolate the variable in multi-step equations with integers, constants, and coefficients.
Goal Target 8 / 10 (80%)
Student:
Date:
Score:
/ 10 (+ __ EC)
Directions: Solve each equation by isolating the variable. Show all steps clearly in the workspace. Page 1 of 3
1 Solve for \( x \):
\( 2x + 5 = 17 \)
Solution:
\( x = \)
2 Solve for \( m \):
\( 3m - 7 = 14 \)
Solution:
\( m = \)
3 Solve for \( y \):
\( 5y + 12 = -8 \)
Solution:
\( y = \)
4 Solve for \( a \):
\( 4a - 9 = -1 \)
Solution:
\( a = \)
Two-Step Equations Progress Monitoring • Form A Apply inverse operations equally to both sides of the equation
IEP Progress Monitor
Equation Ascent Progress Worksheet
Questions 5 – 8 • Page 2 of 3
5 Solve for \( w \):
\( -2w + 6 = 18 \)
Solution:
\( w = \)
6 Solve for \( k \):
\( -6k - 5 = 19 \)
Solution:
\( k = \)
7 Solve for \( x \):
\( \frac{x}{3} + 4 = 9 \)
Solution:
\( x = \)
8 Solve for \( p \):
\( \frac{p}{2} - 7 = 3 \)
Solution:
\( p = \)
Two-Step Equations Progress Monitoring • Form A Remember to pay close attention to positive and negative integer signs
IEP Progress Monitor
Equation Ascent Progress Worksheet
Questions 9 – 12 • Page 3 of 3
Directions: Show all work line-by-line in the blank space provided. ★ Note: Questions 11 & 12 are challenge questions for extra credit.
9 Solve for \( d \):
\( -4d + 15 = -1 \)
Solution:
\( d = \)
10 Solve for \( c \):
\( 7c + 25 = 4 \)
Solution:
\( c = \)
11 Solve for \( x \):
\( 5x + 2x - 9 = 19 \)
Solution:
\( x = \)
12 Solve for \( m \):
\( 8m - 3m + 14 = -1 \)
Solution:
\( m = \)
Multi-Step Equations Progress Monitoring • Form A ★ Note: Questions 11 & 12 are challenge questions for extra credit
Two-Sided Variables Progress Worksheet Two-Sided Variables Progress Worksheet
Objective: Isolate the variable in multi-step equations with variables on both sides.
Goal Target 8 / 10 (80%)
Student:
Date:
Score:
/ 10 (+ __ EC)
1 Solve for \( x \):
\( 5x + 4 = 2x + 19 \)
2 Solve for \( m \):
\( 7m - 8 = 3m + 12 \)
3 Solve for \( y \):
\( 6y + 15 = 2y - 9 \)
4 Solve for \( a \):
\( 8a - 5 = 5a + 16 \)
Variables on Both Sides Progress Monitoring • Form B Page 1 of 3
Questions 5 – 8 • Page 2 of 3
5 Solve for \( w \):
\( 3w - 14 = 8w + 11 \)
6 Solve for \( k \):
\( -4k + 7 = 2k + 31 \)
7 Solve for \( p \):
\( 9p + 4 = 4p - 26 \)
8 Solve for \( n \):
\( 2n + 18 = -3n - 7 \)
Variables on Both Sides Progress Monitoring • Form B Remember to pay close attention to positive and negative integer signs
IEP Progress Monitor
Two-Sided Variables Progress Worksheet
Questions 9 – 12 • Page 3 of 3
Directions: Show all work line-by-line in the blank space provided. ★ Note: Questions 11 & 12 are challenge questions for extra credit.
9 Solve for \( d \):
\( 11d - 9 = 5d + 27 \)
10 Solve for \( c \):
\( -2c + 19 = 4c - 17 \)
11 Solve for \( x \):
\( 4x + 3x - 5 = 2x + 20 \)
12 Solve for \( m \):
\( 8m - 2m + 5 = 2m + 21 \)
Variables on Both Sides Progress Monitoring • Form B ★ Note: Questions 11 & 12 are challenge questions for extra credit
Balanced Equations Progress Worksheet Balanced Equations Progress Worksheet
Objective: Isolate the variable in multi-step equations with variables on both sides.
Goal Target 8 / 10 (80%)
Student:
Date:
Score:
/ 10 (+ __ EC)
1 Solve for \( x \):
\( 6x + 7 = 3x + 22 \)
2 Solve for \( m \):
\( 5m - 9 = 2m + 12 \)
3 Solve for \( y \):
\( 8y + 11 = 4y - 13 \)
4 Solve for \( a \):
\( 7a - 3 = 3a + 17 \)
Variables on Both Sides Progress Monitoring • Form C Page 1 of 3
Questions 5 – 8 • Page 2 of 3
5 Solve for \( w \):
\( 4w - 15 = 9w + 10 \)
6 Solve for \( k \):
\( -3k + 8 = 3k + 32 \)
7 Solve for \( p \):
\( 10p + 5 = 3p - 30 \)
8 Solve for \( n \):
\( 3n + 14 = -2n - 16 \)
Variables on Both Sides Progress Monitoring • Form C Remember to pay close attention to positive and negative integer signs
IEP Progress Monitor
Balanced Equations Progress Worksheet
Questions 9 – 12 • Page 3 of 3
Directions: Show all work line-by-line in the blank space provided. ★ Note: Questions 11 & 12 are challenge questions for extra credit.
9 Solve for \( d \):
\( 12d - 11 = 4d + 29 \)
10 Solve for \( c \):
\( -3c + 22 = 5c - 18 \)
11 Solve for \( x \):
\( 6x + 2x - 8 = 3x + 17 \)
12 Solve for \( m \):
\( 10m - 3m + 7 = 2m + 27 \)
Variables on Both Sides Progress Monitoring • Form C ★ Note: Questions 11 & 12 are challenge questions for extra credit
Distributive Equations Practice Worksheet Distributive Equations Practice Worksheet
Focus: Distribute terms across parentheses, then isolate the variable with terms on both sides.
Name:
Date:
Period:
M1 Teacher-Led Model 1:
\( 2(3x + 4) = 4x + 18 \)
M2 Teacher-Led Model 2:
\( -3(2m - 5) = m + 1 \)
Distributive Linear Equations • Guided Notes & Practice Page 1 of 6
Independent Practice: Distribute & Solve
Questions 1 – 2 • Page 2 of 6
1 Solve for \( x \):
\( 3(2x + 1) = 4x + 11 \)
2 Solve for \( y \):
\( -4(y - 2) = 2y - 10 \)
Distributive Linear Equations • Independent Practice Show every step line-by-line • Page 2 of 6
Independent Practice: Distribute & Solve
Questions 3 – 4 • Page 3 of 6
3 Solve for \( a \):
\( 5(a + 3) = 2a + 27 \)
4 Solve for \( w \):
\( 2(4w - 7) = 5w + 1 \)
Distributive Linear Equations • Independent Practice Apply inverse operations equally • Page 3 of 6
Independent Practice: Distribute & Solve
Questions 5 – 6 • Page 4 of 6
5 Solve for \( k \):
\( -3(k - 4) = 2k - 8 \)
6 Solve for \( p \):
\( 4(3p + 2) = 7p + 23 \)
Distributive Linear Equations • Independent Practice Pay close attention to negative signs • Page 4 of 6
Independent Practice: Distribute & Solve
Questions 7 – 8 • Page 5 of 6
7 Solve for \( d \):
\( 6(2d - 1) = 7d + 19 \)
8 Solve for \( c \):
\( 5(2c + 4) = 4c + 38 \)
Distributive Linear Equations • Independent Practice Show all intermediate steps • Page 5 of 6
Mastery & Challenge Practice
Questions 9 – 10 • Page 6 of 6
9 Solve for \( x \): Dual Distribution
\( 2(4x + 1) = 3(2x + 4) \)
10 Solve for \( x \): Fraction Distribution
\( \frac{1}{2}(8x - 6) = \frac{1}{3}(6x + 15) \)
Distributive Linear Equations • Challenge Practice with Fractions Multiply through each fraction across parentheses • Page 6 of 6
Distributive Mastery Progress Worksheet IEP Progress Monitor Probe #3 • Target: 80% Accuracy
Distributive Mastery Progress Worksheet
Goal Target 8 / 10 (80%)
Student:
Date:
Score:
/ 10 (+ __ EC)
1 Solve for \( x \):
\( 2(3x + 5) = 4x + 16 \)
2 Solve for \( m \):
\( 3(2m - 4) = 2m + 8 \)
Distributive Linear Equations Progress Monitoring • Form E Page 1 of 6
Distributive Equations Progress Monitoring
Questions 3 – 4 • Page 2 of 6
3 Solve for \( y \):
\( 4(2y + 1) = 5y + 19 \)
4 Solve for \( a \):
\( -2(3a - 4) = 2a - 24 \)
Distributive Linear Equations Progress Monitoring • Form E Show every step line-by-line • Page 2 of 6
Distributive Equations Progress Monitoring
Questions 5 – 6 • Page 3 of 6
5 Solve for \( w \):
\( 5(w - 2) = 2w + 11 \)
6 Solve for \( k \):
\( -3(2k - 3) = k - 5 \)
Distributive Linear Equations Progress Monitoring • Form E Apply inverse operations equally • Page 3 of 6
Distributive Equations Progress Monitoring
Questions 7 – 8 • Page 4 of 6
7 Solve for \( p \):
\( 3(4p + 1) = 7p + 28 \)
8 Solve for \( d \):
\( 6(2d - 3) = 8d + 14 \)
Distributive Linear Equations Progress Monitoring • Form E Pay close attention to negative signs • Page 4 of 6
Distributive Equations Progress Monitoring
Questions 9 – 10 • Page 5 of 6
9 Solve for \( c \):
\( -4(c - 5) = 2c + 2 \)
10 Solve for \( n \):
\( 4(3n - 2) = 5n + 27 \)
Distributive Linear Equations Progress Monitoring • Form E Show all intermediate steps • Page 5 of 6
Challenge Questions • Multi-Step Linear Equations
Questions 11 – 12 • Page 6 of 6
Directions: Show all steps clearly in the workspace below. ★ Note: Questions 11 & 12 are challenge questions for extra credit.
11 Solve for \( x \): Dual Distribution
\( 3(3x + 2) = 2(2x + 18) \)
12 Solve for \( x \): Fraction Distribution
\( \frac{1}{2}(6x - 8) = \frac{1}{3}(3x + 18) \)
Distributive Linear Equations • Challenge Practice with Fractions ★ Note: Questions 11 & 12 are challenge questions for extra credit
