Mathematical Concepts and Problem Solving

Mrs. Ross reviews a cumulative test, covering topics such as calculating averages, solving ratio and proportion problems, determining probabilities, understanding price increases, converting units, calculating volumes, and graphing whole numbers. The video includes step-by-step solutions and explanations for each problem, emphasizing key mathematical concepts and problem-solving techniques.

What is the formula used to calculate an average score?

• Product of scores divided by the number of scores

• Sum of scores multiplied by the number of scores

• Sum of scores divided by the number of scores

• Difference of scores divided by the number of scores

If Amanda's average score after three tests is 88, what score does she need on her fourth test to average 90?

• 92

• 96

• 88

• 90

How many boys are in the club if there are 45 girls and 80 students in total?

• 40

• 45

• 35

• 25

What is the simplified ratio of boys to girls in the club?

• 5:9

• 9:5

• 9:7

• 7:9

If three dozen juice bars cost $4.80, what is the cost of 60 bars?

• $12.00

• $10.00

• $6.00

• $8.00

What is the probability of drawing two red marbles consecutively without replacement from a bag with 3 red and 6 blue marbles?

• 1/6

• 1/12

• 1/3

• 1/9

If the cost of tomatoes increased by 50% to $0.60 per pound, what was the original cost?

• $0.30

• $0.40

• $0.50

• $0.45

60 is what percent of 80?

• 80%

• 60%

• 70%

• 75%

Convert 1,000 cm² to mm².

• 100,000 mm²

• 100 mm²

• 10,000 mm²

• 1,000,000 mm²

If x = -3 and y = 4x - 1, what is the value of y?

• -15

• -11

• -13

• -9