Mathematics
JMHS Pre Algebra Inequality Cost Calculation & Probability Exam Practice

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I need an explanation for this Algebra question to help me study.

I need help answering 20 questions on this algebra test and I need to show my work. Thank you for your help

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Pre-Algebra Part 2 Final Exam

1. Boston terriers weigh up to 25 pounds. Suppose a puppy of this breed weighs 15 pounds. Write and solve an inequality to
show how much more this dog could probably weigh.

(SHOW WORK)
15 + 𝑥 ≤ 25
𝑥 ≤ 25 − 15
𝑥 ≤ 10
2. Colleen plans to print x pictures from her camera at a drug store. The expression \$0.2x represents the cost of developing
the pictures if she is not a member of the store’s photography club. If she is a member, then the total cost is given by \$0.15x +
\$10. How much more will Colleen pay by not being a member if she develops 350 pictures?

(SHOW WORK)
𝐶𝑜𝑠𝑡 = 𝐶𝑜𝑠𝑡𝑛𝑜𝑡_𝑚𝑒𝑚𝑏𝑒𝑟 − 𝐶𝑜𝑠𝑡𝑚𝑒𝑚𝑏𝑒𝑟
𝐶𝑜𝑠𝑡 = 0.2𝑥 − (0.15𝑥 + 10)
𝐶𝑜𝑠𝑡 = 0.2(350) − (0.15 ∗ 350 + 10) = \$7.50
Collen will pay \$7.50 more by not being a member, if she develops 350 pictures.
3. Marco drove 75 miles in

hours. How many miles can he drive in 1 hour?

(SHOW WORK)
1.75𝑣 = 75
75
𝑚𝑖𝑙𝑒𝑠
𝑣=
= 42.86
1.75
ℎ𝑜𝑢𝑟
𝑑 = 𝑣 ∗ 𝑡 = 42.86 ∗ 1 = 42.86 𝑚𝑖𝑙𝑒𝑠
He can drive 42.86 miles in 1 hour.

4. Woodland Mound Park sells annual visitor passes for \$12.50. Last year the park raised \$53,500 in annual visitor pass sales.
How many annual visitor passes were sold?

(SHOW WORK)
Sales = PassCost * NumberOfPasses
12.50𝑥 = 53,000
53,000
𝑥=
= 4,240
12.50
Were sold 4,240 annual visitor passes.

Name:

Pre-Algebra Part 2 Final Exam

5. The child’s physical density is being measured by the displacement method. A child of 50 pounds is placed in a tub filled
with water, and the water that comes out of the tub goes into another small tub that measures 40 cm long, 30 cm wide, and 60
cm deep. The water level in the small tub is 18 cm ...

criss53 (3110)
UCLA
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