Download FINAL REVIEW:

Name: ___________________________________________________________ Date: ______________
Pre-Algebra Final Review:
Units 1 – 4
Evaluate the expression when x = 5 and y = -2 .
1.
y2 + (x - 3)
2.
y +12
x
3. State the absolute value and opposite of the number -84.
Evaluate:
4.
32 + 5· 4 - 7
Simplify:
5.
3(x + 4)- 2x + 5
Solve each equation/inequality. Graph the solution to each inequality on a number line.
6.
2q - 4 = -12
7.
2(n - 5) = -8n + 20
8.
3t + 9 < t + 5
9.
-t
-1 ³ 2
2
Write an equation/inequality and solve. Show all work.
10.
On a trip to Florida, a family of four spent $392 in Disney World’s Magic Kingdom. They
bought 2 adult tickets for $100 each, 2 tickets for children, and 4 ice cream cones for $5.50
each. What is the cost of one children’s ticket?
Name: ___________________________________________________________ Date: ______________
11.
You were given a $50 iTunes gift card for your birthday from your best friend. How many
songs can you purchase with the gift card if each song costs $1.29?
Identify the Property:
12.
6 2 ·12 =12·62
13.
rs + 0 = rs
14.
Use a factor tree to find the prime factorization of the number 168.
15.
Find the GCF of 18b 2 ,3b3, 9b
16.
Find the LCM of 18, 24
17.
Tell whether each number is prime or composite:
a) 17
b) 56
18.
Use rule of exponents to simplify:
a) 4 ·4 ·4
6
10
-2
3x10 y 4
b)
6x12 y
19.
Solve for x.
20.
At lacrosse practice your coach makes your team run diagonally across a rectangular field
that has a length of 80 yards and a width of 60 yards. How far did your team have to run?
Name: ___________________________________________________________ Date: ______________
Pre Algebra Unit 5-8 Final Review
Perform each operation.
2 3
1. 2 
3 5
2. 2
3 7

10 8
3.
13 8

20 9
1 2
4. 3 
3 5
Solve each equation/inequality. Graph the solution set of each inequality on a number line.
5.
2
5
w9 
7
8
6. 8 
3
p  10
4
7.
4
x  3  19
5
8. You buy 3 lbs of strawberries for $11.97. Determine the unit rate.
Solve each proportion.
9.
12 52

b
8
10.
11 x  3

15
8
11. A drawing of a sculpture has a scale of 0.75cm: 5in.
a. If the height of the drawing is 15cm, how tall is the sculpture?
b. If the sculpture has a width of 21in, what is the width of the drawing?
12.
A bag contains 12 red, 5 blue, and 7 yellow marbles.
a. What is the probability that you select a yellow marble?
b. What is the probability that you select a blue or red marble?
c. What is the probability that you select a yellow and then a blue marble on two
separate picks? (Calculate with and without replacement.)
13.
The retail price of a shirt is $24.99. If it is discounted 30% and you add 6% sales tax, what
will be the price of the shirt when you check-out?
Name: ___________________________________________________________ Date: ______________
14.
The wholesale price for a pair of shoes is $37. If the store markups the price by 145%, what
is the retail price of the shoes?
15.
What percent of 20 is 8?
16.
52 is 13% of what number?
17.
65% of 82 is what number?
18.
Describe the transformation shown on the graph.
19. Perform each transformation.
a.
20. Find the values of x, y, and z.
b.
c.
21. Find the measures of 1, 2, and 3.
Name: ___________________________________________________________ Date: ______________
Final Exam Review Units 9 – 11
Use the stem and leaf plot below to answer questions 1 and 2.
1.
What is the median?
2.
What is the range?
Key
6 2 = 62
Use the box and whisker plot to answer questions 3 and 4.
3.
What percent of the data are from 3 – 5?
4.
What is the IQR?
Given that there are 4 red marbles, 3 blue marbles, and 5 green marbles in a bag.
5.
Find the probability that you choose a blue marble, replace it, and then choose
green marble.
6.
Find the probability that you choose a blue marble, do not replace it, and then choose a red
marble.
7.
The teacher is making 4 groups out of 12 students.
a) How many different groups can be formed?
b) How many different ways can the four students in each
group line up?
8.
Find the value of x from the diagram to the right.
a
Name: ___________________________________________________________ Date: ______________
9.
Find the area of the parallelogram below.
10.
Find surface area of cylinder with a radius of 10 inches and height of 4inches.
answer to the nearest whole number and use 3.14 for pi.
11.
A paint can is a cylinder with a diameter of 7 inches and a height of 10 inches. How much
space is inside the paint can? Round your answer to the nearest cubic inch.
12.
Find Surface Area and Volume of figure below.
13.
Find slope between (8, -3) and (4, 2).
14.
Graph y = -4x + 3
Round your
Name: ___________________________________________________________ Date: ______________
015. Solve the system by graphing.
3
y  x2
2
1
y   x2
2