Name: ________________________________
Period: ____________________
Ramp-Up to Algebra
Final Exam!!
Do your best on all of the problems
Good Luck!
1. Find the value of the expression 3(x + 2y) for the for x = 5 and y = 10
2. Identify the number property that justifies each equation.
a. (10a)58  58(10a)
b. 58(10a)  (58  10)a
c.
x  10  10  x
d. 14  (10  x)  (14  10)  x
e. 23(n  2)  23n  46
3. Solve.
a. 5n  2n  4
b. 2n(2  1)  5
4. Use conventions to translate each of the following verbal descriptions into mathematical expressions.
a. The quantity a plus three, divided by six
b. a divided by six, plus three
c. six multiplied by the quantity a plus three
5. Write 4107.6 in expanded form
6. What is the place of the digit 5 in each of the following numbers?
a. 5.789
b. 0.4567
c. 12.56
7. Write these numbers in order from least to greatest, using the < symbol.
0.834
0.843
0.0834
0.8034
8. This number is written in expanded form: (4  100)  (2  10)  (3  1)  (0 
0.0843
1
1
1
)  (1 
)  (5 
)
10
100
1000
a. Write the number in standard form.
b. Write your answer in part (a) in words.
9. Round each number to the nearest tenth place.
a. 245.86
b. 78.089
c. 2.009
d. 56.91
e. 38.98
10. Round each number to the tens, the hundreds, and the thousands place.
a. 9876
b. 8095
11. Draw two number lines to show that the fraction
3
1
is equivalent to the fraction .
9
3
12. For each number, decide whether it is a natural number, a whole number, a integer, or a rational number.
A number can be more than one type.
5
a.
b. 18
c. 4.2
d. -9
6
13. Given that 724  96  69504 , solve these equations (put the decimal point in the correct place in each
product).
a. 7.24  0.096 
b. 0.0724  0.96 
14. Write a percent that is equivalent to each fraction:
63
a.
b. 0.95
100
c.
3
4
d.
1
2
15. Brittney opened a savings account that has an annual interest rate of 8%. She started with $200 in the
account and the interest is added once a year. How much money is in Brittney’s account after 2 years?