Algebraic Expressions Test – Grade 6 Math (Printable PDF)

Question 1 Parts of an expression (2 points)

Consider 8y + 5.

1. What is the coefficient of y? (1 point)
2. What is the constant term? (1 point)

Question 2 Writing expressions (2 points)

Write an expression for each phrase.

1. 6 less than 4 times a number n (1 point)
2. the quotient of w and 9 (1 point)

Question 3 Evaluate with a power (2 points)

Evaluate 2t² − 9 when t = 6.

Question 4 Two variables (2 points)

Evaluate 5p − 2q when p = 6 and q = 7.

Question 5 Cube formulas (3 points)

A cube has edge s = 7 cm.

1. Use V = s³ to find the volume. (1 point)
2. Use A = 6s² to find the surface area. (2 points)

Question 6 Distributive property (2 points)

1. Expand 5(x + 6). (1 point)
2. Simplify 7a + 3 + 2a − 1. (1 point)

Question 7 Factoring (2 points)

The rectangle has total area 18x + 24. Write the area as the GCF times a sum.

Question 8 Scooter rental (3 points)

A scooter rental costs $5 plus $0.75 per minute.

1. Write an expression for the cost of m minutes. (1 point)
2. Find the cost of 20 minutes. (1 point)
3. Find the cost of 12 minutes. (1 point)

Question 9 Equivalent or not (2 points)

Tara says 2(n + 5) and 2n + 5 are equivalent.

1. Test both expressions when n = 4. (1 point)
2. Is Tara correct? Write the correct expression equivalent to 2(n + 5). (1 point)