Download Math 154 Laddon Test #1

Math 154
Laddon
Test #1
Name: _______________
(1 point)
This is the test from Spring 2010. The material may differ from what we have covered this
semester, but you should get an idea of what types of questions you will be asked.
1. (12 points) Order of Operations Department: Evaluate the given expressions
a)
(−3)5 + 9 (−7)4 + (−6)(2)
+
−3
4
b)
7 2 − 33
+ 6 ⋅ 4 2 − 3[8 − 4(2 2 + 3) + 1]
8 − 30
c)
3(23 − 4)
− 2 + 3(4)
2. (5 points) What is the difference (if any) between –42 and (–4)2 ?
3. (10 points) Translation Department:
Write a mathematical expression for each of the following (use parentheses if you
like):
a) Six minus a certain number.
b) 8 more than four times a certain number.
c) The difference between twice a certain integer and four less than the integer.
4. (10 points) Solve these equations. Please show your steps clearly.
a) 4x − (2x + 5) = 11
b) 2(6x − 4) = − 2
5. (10 points) Simplify the following expressions (they are not equations, so there will not
be a solution):
a) 6(y − 5) + 2[ y − 7(2 − y)]
b) 4x2 − 7x + 7 − 6x2 − 3 − 3x
6. (5 points) True or False
_______a. A number can be rational and irrational
_______b. Absolute value is always positive
_______c. All natural numbers are also whole numbers
_______d. All integers are positive
_______e. Whole numbers are sometimes irrational
7. (10 points) Solve the following inequalities and sketch the solution on a number line:
a) 3x + 4 ≤ 2x + 7
____________________________
b) 2y – 5 < 5y – 11
____________________________
8. (15 points) Fraction Operations: (You may write your answers as mixed numbers, or
improper fractions, whichever you prefer.)
2
1
a) 4 − 2 =
5
3
b)
4 3
=
÷
5 10
 1  3
c)  3  ⋅  2  =
 5  7
d)
7
=
0
e)
0
=
6
f)
5 7
+ =
6 9
9. (8 points) Literal Equations: Solve the formula for the variable:
a) P = C + MC solve for M
b) Ax + By = C solve for y
10. (9 points) Percents!
a) 18 is what percent of 90?
b) 32% of what number is 51.2?
c) What is 16% of 90?
11. (5 points) Please show your work. Show what equation, or what proportion you used;
explain your reasoning.
After a 30% discount, you purchase a DVD for $98. What was the price before the
reduction?