Equation Blitz Quiz A
Form A Algebra Practice Quiz
Score: _____ / 30 pts
Equation Blitz Quiz
Name:
Date:
Per:
Directions: Rewrite expressions vertically, aligning like terms. Solve each equation step-by-step.
No Calculators
Part 1: Linear Expressions — Vertical Stacking
Rewrite vertically, aligning like terms, then simplify
- \( (5x - 8) + (-2x + 13) \) Add
Answer:
- \( (6m + 11) - (4m - 5) \) Subtract
Answer:
- \( (4x - 5y + 12) + (-2x + 8y) \) 3 Terms
Answer:
- \( (7a - 3b + 10) - (4a - 8b) \) 3 Terms
Answer:
Part 2: One-Step Equations
Use a single inverse operation to isolate the variable
- \(x - 14 = -6\) 1 step
Solution: x =
- \(y + 19 = 7\) 1 step
Solution: y =
- \(-6n = 42\) 1 step
Solution: n =
- \(\frac{k}{-4} = -8\) 1 step
Solution: k =
Equation Blitz • Quiz Form A Page 1 of 2 — Continue on back side →
Form A Equation Blitz Quiz • Page 2
Name:
Part 3: Two-Step Equations
Undo addition/subtraction, then multiplication/division
- \(4x + 9 = -15\) 2 steps
Solution: x =
- \(-5p - 8 = 27\) 2 steps
Solution: p =
- \(\frac{a}{3} - 7 = -2\) 2 steps
Solution: a =
- \(-7w + 13 = -29\) 2 steps
Solution: w =
Part 4: Special Two-Step Equations
Combine Like Terms • Distributive • Divided Numerator
- \(5x - 11 + 2x = 17\) Like Terms
Solution: x =
- \(-3y + 8 - 4y = -27\) Like Terms
Solution: y =
- \(3(2x - 5) = 21\) Distribute
Solution: x =
- \(-4(3n + 2) = -44\) Distribute
Solution: n =
- \(\frac{x + 11}{4} = -3\) Divided Expr.
Solution: x =
- \(\frac{3y - 5}{-2} = 7\) Divided Expr.
Solution: y =
Equation Blitz • Quiz Form A Page 2 of 2 • End of Quiz
Equation Blitz Quiz B
Form B Algebra Practice Quiz
Score: _____ / 30 pts
Equation Blitz Quiz
Name:
Date:
Per:
Directions: Rewrite expressions vertically, aligning like terms. Solve each equation step-by-step.
No Calculators
Part 1: Linear Expressions — Vertical Stacking
Rewrite vertically, aligning like terms, then simplify
- \( (4a - 9) + (-7a + 15) \) Add
Answer:
- \( (7p + 8) - (3p - 9) \) Subtract
Answer:
- \( (5x - 6y + 14) + (-3x + 9y) \) 3 Terms
Answer:
- \( (6m - 4n + 8) - (2m - 9n) \) 3 Terms
Answer:
Part 2: One-Step Equations
Use a single inverse operation to isolate the variable
- \(y - 17 = -8\) 1 step
Solution: y =
- \(m + 23 = 9\) 1 step
Solution: m =
- \(-8c = 56\) 1 step
Solution: c =
- \(\frac{h}{-5} = -7\) 1 step
Solution: h =
Equation Blitz • Quiz Form B Page 1 of 2 — Continue on back side →
Form B Equation Blitz Quiz • Page 2
Name:
Part 3: Two-Step Equations
Undo addition/subtraction, then multiplication/division
- \(6x + 7 = -29\) 2 steps
Solution: x =
- \(-4b - 9 = 23\) 2 steps
Solution: b =
- \(\frac{r}{4} - 8 = -3\) 2 steps
Solution: r =
- \(-6v + 15 = -33\) 2 steps
Solution: v =
Part 4: Special Two-Step Equations
Combine Like Terms • Distributive • Divided Numerator
- \(6x - 14 + 3x = 13\) Like Terms
Solution: x =
- \(-4w + 9 - 3w = -33\) Like Terms
Solution: w =
- \(4(2n - 3) = 28\) Distribute
Solution: n =
- \(-3(4m + 5) = -51\) Distribute
Solution: m =
- \(\frac{x + 13}{5} = -4\) Divided Expr.
Solution: x =
- \(\frac{4y - 6}{-3} = 6\) Divided Expr.
Equation Blitz Answer Key
Teacher Reference Solutions & Scoring Guide
Form A Answer Key • Equation Blitz
Total: 30 Points
Part 1: Linear Expressions — Vertical Stacking
2 pts each (8 pts total)
1. \( (5x - 8) + (-2x + 13) \)
5x - 8
+ -2x + 13
Ans: \(3x + 5\)
2. \( (6m + 11) - (4m - 5) \)
6m + 11
- (4m - 5)
Ans: \(2m + 16\)
3. \( (4x - 5y + 12) + (-2x + 8y) \)
4x - 5y + 12
+ -2x + 8y
Ans: \(2x + 3y + 12\)
4. \( (7a - 3b + 10) - (4a - 8b) \)
7a - 3b + 10
- (4a - 8b)
Ans: \(3a + 5b + 10\)
Part 2: One-Step Equations
1 pt each (4 pts total)
5. \(x - 14 = -6\)
\(x = -6 + 14\)
\(x = 8\)
6. \(y + 19 = 7\)
\(y = 7 - 19\)
\(y = -12\)
7. \(-6n = 42\)
\(n = 42 \div (-6)\)
\(n = -7\)
8. \(\frac{k}{-4} = -8\)
\(k = -8 \cdot (-4)\)
\(k = 32\)
Part 3: Two-Step Equations
2 pts each (8 pts total)
9. \(4x + 9 = -15\)
\(4x = -24\)
\(x = -24 \div 4\)
\(x = -6\)
10. \(-5p - 8 = 27\)
\(-5p = 35\)
\(p = 35 \div (-5)\)
\(p = -7\)
11. \(\frac{a}{3} - 7 = -2\)
\(\frac{a}{3} = 5\)
\(a = 5 \cdot 3\)
\(a = 15\)
12. \(-7w + 13 = -29\)
\(-7w = -42\)
\(w = -42 \div (-7)\)
\(w = 6\)
Part 4: Special Two-Step Equations
2 pts each (10 pts total)
13. Like Terms 5x - 11 + 2x = 17
Combine: \(7x - 11 = 17\)
Add 11: \(7x = 28\)
\(x = 4\)
14. Like Terms -3y + 8 - 4y = -27
Combine: \(-7y + 8 = -27\)
Subtract 8: \(-7y = -35\)
\(y = 5\)
15. Distribute 3(2x - 5) = 21
Distribute: \(6x - 15 = 21\)
Add 15: \(6x = 36\)
\(x = 6\)
16. Distribute -4(3n + 2) = -44
Distribute: \(-12n - 8 = -44\)
Add 8: \(-12n = -36\)
\(n = 3\)
17. Divided Expr. (x + 11)/4 = -3
Multiply 4: \(x + 11 = -12\)
