Equation Crunchers Worksheet
NAME: DATE:
PERIOD:
EQUATION CRUNCHERS
One-Step Equations with Integers • Level 1 Practice
OBJECTIVE: ISOLATE THE VARIABLE
Equilibrium Blueprint
Apply the inverse operation to both sides of the equation to keep it balanced. Watch your integer rules carefully!
× inverse is ÷
(-) × (-) = (+)
(-) × (+) = (-)
Part A: Addition & Subtraction
Isolate the variable by adding or subtracting. Show every step on both sides of the equals sign.
01 Add/Sub
\(x + 7 = -3\)
Workspace
\(x =\)
02 Add/Sub
\(y - 5 = -12\)
Workspace
\(y =\)
03 Add/Sub
\(a + (-8) = 15\)
Workspace
\(a =\)
04 Add/Sub
\(b - (-4) = -9\)
Workspace
\(b =\)
05 Add/Sub
\(-11 = m + 6\)
Workspace
\(m =\)
06 Add/Sub
\(-8 + w = -20\)
Workspace
\(w =\)
07 Add/Sub
\(k - 14 = -6\)
Workspace
\(k =\)
08 Add/Sub
\(-5 = p - (-12)\)
Workspace
\(p =\)
INTEGERS & EQUILIBRIUM • LESSON REVIEW PAGE 1 OF 2
EQUATION CRUNCHERS LEVEL 1: MULTIPLICATION & DIVISION
Part B: Multiplication & Division
Isolate the variable by multiplying or dividing. Pay close attention to negative signs!
09 Mult/Div
\(4x = -32\)
Workspace
\(x =\)
10 Mult/Div
\(\frac{y}{-3} = 7\)
Workspace
\(y =\)
11 Mult/Div
\(-6a = -42\)
Workspace
\(a =\)
12 Mult/Div
\(\frac{b}{5} = -9\)
Workspace
\(b =\)
13 Mult/Div
\(-12 = \frac{m}{-4}\)
Workspace
\(m =\)
14 Mult/Div
\(-8w = 56\)
Workspace
\(w =\)
15 Mult/Div
\(-3 = \frac{k}{12}\)
Workspace
\(k =\)
16 Mult/Div
\(-15p = -75\)
Workspace
\(p =\)
17 Mult/Div
\(-9x = -81\)
Workspace
\(x =\)
18 Mult/Div
\(\frac{y}{7} = -6\)
Workspace
\(y =\)
19 Mult/Div
\(-5 = \frac{m}{-11}\)
Workspace
\(m =\)
20 Mult/Div
\(-16w = 64\)
Workspace
\(w =\)
INTEGERS & EQUILIBRIUM • LESSON REVIEW PAGE 2 OF 2
Equation Crunchers Answer Key
NAME: TEACHER ANSWER KEY DATE: CLASS ANSWER KEY
PERIOD: ALL
EQUATION CRUNCHERS [ANSWER KEY]
One-Step Equations with Integers • Level 1 Practice
STATUS: VERIFIED & COMPLETED
Equilibrium Blueprint
Apply the inverse operation to both sides of the equation to keep it balanced. Watch your integer rules carefully!
× inverse is ÷
(-) × (-) = (+)
(-) × (+) = (-)
Part A: Addition & Subtraction Solutions
Step-by-step processes showing inverse operations on both sides of the balance.
01 Solved
\(x + 7 = -3\)
\(x + 7 - 7 = -3 - 7\)
\(x = -10\)
\(x = -10\)
02 Solved
\(y - 5 = -12\)
\(y - 5 + 5 = -12 + 5\)
\(y = -7\)
\(y = -7\)
03 Solved
\(a + (-8) = 15\)
\(a - 8 = 15\)
\(a - 8 + 8 = 15 + 8\)
\(a = 23\)
04 Solved
\(b - (-4) = -9\)
\(b + 4 = -9\)
\(b + 4 - 4 = -9 - 4\)
\(b = -13\)
05 Solved
\(-11 = m + 6\)
\(-11 - 6 = m + 6 - 6\)
\(-17 = m\)
\(m = -17\)
06 Solved
\(-8 + w = -20\)
\(-8 + 8 + w = -20 + 8\)
\(w = -12\)
\(w = -12\)
07 Solved
\(k - 14 = -6\)
\(k - 14 + 14 = -6 + 14\)
\(k = 8\)
\(k = 8\)
08 Solved
\(-5 = p - (-12)\)
\(-5 = p + 12\)
\(-5 - 12 = p + 12 - 12\)
\(p = -17\)
INTEGERS & EQUILIBRIUM • ANSWER KEY PAGE 1 OF 2
EQUATION CRUNCHERS [ANSWER KEY] LEVEL 1: MULTIPLICATION & DIVISION
Part B: Multiplication & Division Solutions
Isolate the variable by performing inverse operations. Remember: same signs divide to \(+\), different signs divide to \(-\).
09 Solved
\(4x = -32\)
\(\frac{4x}{4} = \frac{-32}{4}\)
\(x = -8\)
10 Solved
\(\frac{y}{-3} = 7\)
\(\frac{y}{-3} \cdot (-3) = 7 \cdot (-3)\)
\(y = -21\)
11 Solved
\(-6a = -42\)
\(\frac{-6a}{-6} = \frac{-42}{-6}\)
\(a = 7\)
12 Solved
