Math · Equations
Multi-Step Equations with Variables on Both Sides
Solve linear equations with distributing, like terms and variables on both sides, and tell how many solutions there are.
- 🎓 Grade 8
- 🧮 Math
- 📐 8.EE.C.7
- ❓ 23 questions
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Questions 23 questions
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Solve: 5(x + 4) = −20
- A x = −36
- B x = 8
- C x = 0
- D x = −8
Simplify each side, collect x-terms on one side, then solve.
Solve: 3(x − 3) = 2x − 8
- A x = −5
- B x = −1
- C x = 1
- D x = −17
Simplify each side, collect x-terms on one side, then solve.
Solve: 2x + 6 + 2x = −14
- A x = −2
- B x = −10
- C x = −20
- D x = −5
Simplify each side, collect x-terms on one side, then solve.
Solve: 2x + 8 + 2x = 48
- A x = 20
- B x = 10
- C x = 40
- D x = 14
Simplify each side, collect x-terms on one side, then solve.
How many solutions does 3x + 1 = 3x + 5 have?
- A none
- B two
- C one
- D infinitely many
1 = 5 is never true.
Plan A costs $10 + $3 per game. Plan B costs $4 per game. After how many games do they cost the same?
- A 3
- B 14
- C 10
- D 7
10 + 3g = 4g, so g = 10.
Solve: 6(x + 5) = 42
- A x = −2
- B x = 17
- C x = 12
- D x = 2
Simplify each side, collect x-terms on one side, then solve.
How many solutions does 2x + 4 = 2(x + 2) have?
- A two
- B one
- C none
- D infinitely many
Both sides simplify to 2x + 4.
Solve: 5(x + 6) = 0
- A x = −24
- B x = −5
- C x = −6
- D x = 6
Simplify each side, collect x-terms on one side, then solve.
How many solutions does 5(x − 1) = 5x − 5 have?
- A none
- B infinitely many
- C one
- D two
Solve: 5(x − 2) = 3x − 26
- A x = −12
- B x = 8
- C x = −8
- D x = −18
Simplify each side, collect x-terms on one side, then solve.
Solve: 4x + 4 + 5x = −59
- A x = 7
- B x = −6
- C x = −63
- D x = −7
Simplify each side, collect x-terms on one side, then solve.
Solve: 0.5x + 3 = 0.25x + 5
- A x = 8
- B x = 2
- C x = 32
- D x = 10.67
0.25x = 2, so x = 8.
Solve: 5(x − 1) = 1x + 15
- A x = −5
- B x = 4
- C x = 6
- D x = 5
Simplify each side, collect x-terms on one side, then solve.
Solve: 5x + 4 = 1x − 8
- A x = −3
- B x = 3
- C x = −1
- D x = −2
Simplify each side, collect x-terms on one side, then solve.
Solve: 6x + 2 = 1x − 3
- A x = −5
- B x = 1
- C x = 0
- D x = −1
Simplify each side, collect x-terms on one side, then solve.
Solve: (2/3)x − 4 = 6
- A x = 4
- B x = 15
- C x = 3
- D x = 6.67
(2/3)x = 10, so x = 15.
Solve: 4(x − 3) = 3x − 18
- A x = −30
- B x = −6
- C x = −15
- D x = 6
Simplify each side, collect x-terms on one side, then solve.
Solve: 5x + 7 + 2x = −35
- A x = −42
- B x = −6
- C x = 6
- D x = −4
Simplify each side, collect x-terms on one side, then solve.
Solve: 4x − 1 = 2x − 13
- A x = −2
- B x = 6
- C x = −7
- D x = −6
Simplify each side, collect x-terms on one side, then solve.
Solve: 6(x + 4) = 84
- A x = −10
- B x = 18
- C x = 64
- D x = 10
Simplify each side, collect x-terms on one side, then solve.
Solve: 4x − 9 = 3x − 7
- A x = 2
- B x = 3
- C x = −2
- D x = −16
Simplify each side, collect x-terms on one side, then solve.
How many solutions does 4x − 2 = 2x + 6 have?
- A one
- B none
- C infinitely many
- D two
x = 4
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