SOL Prep #7

Georgio has a fair-sided coin and a six-sided number cube. Determine if these are independent or dependent events, as well as what is the probability that he will flip the coin and land on heads and that he will roll a number less than 4 on the cube?

• Independent Events; Probability of ⅓

• Dependent Events; Probability of ¼

• Independent Events; Probability of ¼

• Dependent Events; Probability of ⅓

What value of “w” satisfies

8(w + 4) = 38 + 7w

• 8

• 6

• 11

• 4.5

The shape shown below will be dilated by a scale factor of ¼. After this dilation, what will be the coordinates of W’?

• (-4, 2)

• (8, -4)

• (-2, 1)

• (-1, 4)

What is the approximate area of the shaded region of the figure shown below?

• 2.1 cm²

• 1.82 cm²

• 0.97 cm²

• 0.22 cm²

Which could be the table of values used to graph the function of x shown on the graph?

• A

• B

• C

• D

Charlie has a bag of different colored cubes: 2 yellow, 4 purple, 3 green, and 5 blue. Charlie picks one cube from the jar randomly. After replacing it, he selects another cube. What is the probability that Charlie chose a purple cube and a yellow cube?

• 4/35

• 5/32

• 2/13

• 2/49

Stella buys a membership to the local gym. The total cost of a year’s membership is $273, which includes the $45 joining fee, plus a monthly payment fee. How much is Stella’s monthly payment fee?

• $26.00

• $14.50

• $19.00

• $15.75

Which of the following equations represents the relationship between x and y shown in the table below?

• y = 2x - 3

• y = 3x - 1

• y = x - 5

• y = 2x + 3

Which of the measures shown below construct the sides of a right triangle?

• A

• B

• C

• D

Use the model below to determine the correct value for “x” in the equation shown.

• -1

• 4

• 1

• -3