Probability, Graphs, and Equations

The video tutorial covers solving linear equations, calculating dimensions from scale drawings, estimating volumes of triangular prisms, deriving equations from tables, understanding scale models, calculating discounts, determining probabilities with replacement, and identifying corresponding sides in similar triangles.

What is the value of W that satisfies the equation 3W + 5 = 7?

• W = 2/3

• W = 3

• W = 1

• W = 5

Which number line correctly represents the fraction 2/3?

• Line F

• Line G

• Line H

• Line J

If a scale drawing of an office is 2 inches wide, what is the actual width in feet if 1/2 inch equals 3 feet?

• 9 feet

• 15 feet

• 6 feet

• 12 feet

What is the best estimate of the volume of a triangular prism with a base of 24 and height of 12?

• 432 cubic inches

• 144 cubic inches

• 288 cubic inches

• 576 cubic inches

Which equation best represents the relationship between X and Y if Y is half of X minus 3?

• Y = X/2 + 3

• Y = X/2 - 3

• Y = 2X - 3

• Y = 2X + 3

Which graph correctly shows the relationship where 25 inches represents 2 feet?

• Graph B

• Graph D

• Graph C

• Graph A

What is the difference in sale price of a sweater originally priced at $20, with 25% off on Monday and 40% off on Tuesday?

• $2

• $3

• $5

• $4

What is the probability of drawing two sour apple candies in a row from a bag containing 4 sour apple and 3 watermelon candies?

• 16/49

• 2/7

• 8/21

• 4/7

Which line segment corresponds to AC in similar triangles?

• GH

• EF

• KL

• IJ

What is the rate of change in words per minute if Taylor wrote 100 words in 4 minutes?

• 30 words/min

• 20 words/min

• 35 words/min

• 25 words/min