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Lesson 40 Spiral - Compound Probability and Spiral Review
Complete each problem and show all work/steps.
1. Solve each equation:
2. A bag of fruit contains 3 apples, 2 oranges, 1
banana, and 4 pears.
a) 8x – 2 = -9 + 7x
Mrs. D’Amico will randomly select two pieces
of fruit one at a time from the bag and not put
them back.
b) 5n + 34 = -2(1 – 7n)
What is the probability that the first piece of
fruit that Mrs. D’Amico selects will be a
banana and the second piece of fruit will be a
pear?
Answer:
Answer:
x=
n=
3. What is the slope in the following equations?
5
a) y = − 2 𝑥 − 5
b) y = −𝑥 + 3
4. Coach Manzer is selecting a jersey. His
choices are shown below. Coach Manzer
chooses a jersey at random and then
replaces it. He then selects a second jersey
at random. What is the probability that Coach
Manzer selects a striped jersey both times?
c) 8𝑥 + 3𝑦 = −9
Answer:
A.
Answer:
B.
C.
5.
Find the slope of the line through the
points (19, -16) and (-7, -15).
6. A desk drawer contains the different colored
markers below.



A marker will be randomly selected from the
drawer, then replaced. Then another marker will be
randomly selected from the drawer. What is the
probability that a green marker will be selected both
times?
Answer:
Answer:
7. Solve the inequality and graph its solution.
𝑛
4+3<6
3 green markers
5 blue markers
10 red markers
8. The spinner below has 12 congruent sections.
Miss Johnson will spin the arrow on the
spinner twice. What is the probability that the
arrow will land on a shaded section of the
spinner both spins?
Answer:
9. A treasure chest is in the shape of a
rectangular prism that measures 4 feet long,
3.5 feet wide and 3 feet deep. What is the
volume of the treasure chest?
10.
Mrs. Pressley has two cups containing
different colored paper clips. The first cup
contains 7 pink paper clips and 3 blue
paper clips. The second cup contains 3
black paper clips, 1 red paper clip, and 6
orange paper clips.
What is the probability Mrs. Pressley will
randomly select a blue paper clip from the
first cup and then randomly select an
orange paper clip from the second cup?
Answer:
Answer: