Number Sense and Algebraic Thinking Flashcards

Which of the following is equivalent to 0.375?

Answer: 3/8

0.375 = 375/1000 = 3/8 when reduced to lowest terms.

Solve the inequality: 2x + 5 > 11

Answer: x > 3

Subtracting 5 from both sides gives 2x > 6, and dividing by 2 gives x > 3.

What is the absolute value of -15?

Answer: 15

Absolute value measures a number's distance from zero on the number line, so |-15| = 15.

A savings account earns 5% simple interest per year. If you deposit $400, how much interest will you earn after 3 years?

Answer: $60

Simple interest = Principal × Rate × Time = $400 × 0.05 × 3 = $60.

Which expression is equivalent to 4² + 4³?

Answer: 16 + 64

4² = 16 and 4³ = 64, so 4² + 4³ = 16 + 64 = 80; you cannot add terms by adding exponents.

If the pattern 3, 6, 12, 24, … continues, what is the next term?

Answer: 48

Each term is multiplied by 2 to get the next term, so 24 × 2 = 48.

Which of the following is true about negative exponents?

Answer: x⁻² = 1/x²

A negative exponent indicates the reciprocal: x⁻² = 1/x², meaning the base is moved to the denominator and the exponent becomes positive.