Core Plus (Math Version Flashcards

A student is asked to find 15% of 80. Which method is MOST efficient for a student who understands percent basics?

Answer: Finding 10% of 80 (=8), then finding 5% of 80 (=4), and adding them (8+4=12)

Breaking 15% into 10% + 5% uses easy mental math: 10% of 80 = 8, 5% of 80 = 4, so 15% = 12. This benchmark percent strategy builds number sense.

A student solves the equation 2x + 3 = 11 and gets x = 7. Is this correct? What is the proper solution?

Answer: No; subtract 3 from both sides to get 2x = 8, then divide by 2 to get x = 4

Subtracting 3 from both sides: 2x = 8; dividing by 2: x = 4. The student's answer of x = 7 is incorrect.

Which of the following represents the correct order of operations for evaluating 3 + 4 × 2²?

Answer: Exponent first: 3 + 4 × 4 = 3 + 16 = 19

Order of operations (PEMDAS): exponents first (2²=4), then multiplication (4×4=16), then addition (3+16=19). The answer is 19.

A student is graphing the point (3, -2) on a coordinate plane. Where is this point located?

Answer: 3 units right and 2 units down from the origin

The ordered pair (x, y) = (3, -2) means 3 units right on the x-axis (positive) and 2 units down on the y-axis (negative).

A student needs to compare the fractions 3/4 and 5/7. Which method is MOST reliable?

Answer: Find a common denominator and compare: 21/28 vs. 20/28, so 3/4 > 5/7

Converting to a common denominator (28) gives 3/4 = 21/28 and 5/7 = 20/28, revealing that 3/4 > 5/7. This is the most reliable comparison method.

A student earns $240 for working 15 hours. What is the student's hourly rate?

Answer: $16.00 per hour

Hourly rate = total earnings ÷ hours worked = $240 ÷ 15 = $16.00 per hour.