Pre-Algebra & Number (Standard)

Multi-step exam-style items.

Phase 2 · ACT Math

Pre-Algebra & Number: core idea

Exponent laws.

A number is divisible by both $6$ and $15$ . What is the least possible positive number?

Hint: Find the LCM. Answer: 30.

1. Evaluate $\left|7-15\right|+3^2$ .
2. A store has $18$ boxes with $24$ pencils each. After selling $97$ pencils, how many remain?
3. What is the greatest common factor of $84$ and $126$ ?
4. Convert $2\frac35$ to an improper fraction.
5. A sequence starts $5,9,13,17,\ldots$ . What is its $20$ th term?
6. If $n$ is odd, which is always even: $n+1$ , $n+2$ , or $2n+1$ ?
7. A $3$ -lb bag costs $7.50$ dollars. What is the cost per pound?
8. Find the sum of integers from $1$ through $20$ .
9. A number is multiplied by $4$ then decreased by $9$ to get $35$ . Find the number.