One-Step Equations: Grade 6 Math Test – PDF Download

Question 1: Testing Values (2 points)

Which of the values \(4\), \(6\), and \(9\) makes the equation \(x + 5 = 11\) true? Show the substitution that proves your answer. (2 points)

Question 2: Whole-Number Equations (2 points)

Solve each equation.

1. \(x + 13 = 40\) (1 point)
2. \(7x = 63\) (1 point)

Question 3: Decimal Equations (2 points)

Solve each equation.

1. \(x + 4.8 = 11.3\) (1 point)
2. \(0.6x = 4.2\) (1 point)

Question 4: Fraction Equations (2 points)

Solve each equation. Write each answer as a fraction in simplest form.

1. \(x + \frac{1}{3} = \frac{5}{6}\) (1 point)
2. \(4x = \frac{3}{2}\) (1 point)

Question 5: Write and Solve (2 points)

A number \(n\) plus \(12.5\) equals \(30\).

1. Write an equation for this sentence. (1 point)
2. Solve the equation. (1 point)

Question 6: Finding the Error (3 points)

Mei solved \(x + 9 = 21\) and wrote \(x = 30\).

1. Describe her error. (1 point)
2. Find the correct solution. (1 point)
3. Show by substitution that your solution is correct. (1 point)

Question 7: Baseball Cards (3 points)

Jamal got \(24\) more baseball cards for his birthday. Now he has \(85\) cards.

1. Write an equation for the number of cards \(c\) he had before his birthday. (1 point)
2. Solve the equation. (1 point)
3. Verify the answer by substitution. (1 point)

Question 8: Peach Prices (2 points)

A farmers market stand sells \(3.5\) pounds of peaches for $10.50.

1. Write an equation for the price \(p\) per pound. (1 point)
2. Find the price per pound. (1 point)

Question 9: Cooking with Flour (2 points)

Ethan has \(\frac{3}{4}\) cup of flour. A recipe needs \(2\) cups.

1. Write an equation for the additional flour \(f\) he needs. (1 point)
2. Find how much more flour he needs. (1 point)

See every chapter on the Grade 6 math page.