Pretest (Knowledge Assessment)/Math 060/COC
Integers
Name: Key
Place a box around your answer.
 I know that I need more practice with signed numbers. (SIGMA workshop/ GLA available.)
1. 14  21
Answer: 7
2. 20  8
Answer: -28
3. 7  (15)
Answer: -105
4. 4  (19)
Answer: 76
 56
8
Answer: 7
5.
Fractions
Place a box around your answer.
 I know that I need more practice with fractions. (SIGMA workshops/ GLAs available.)
 1  4  3 
6.       
 3  5  8 
Answer: -1/10
3
9

4
5
Answer: -5/12
7. 
8.
5
2

8
3
Answer: 31/24
9.
2
1
1


5
10
6
Answer: 1/3
10.
4
2
7
Answer: -10/7
Decimals
 I know that I need more practice with decimals.
11. 1.329  4.89
Answer: 3.561
12.  6.25 0.30 
Answer: 1.875
13. 1.27   1.7
Answer: 0.75 (rounded to the nearest hundredth)
14. 250  0.05
Answer: 5000
15. 7.2  180
Answer: - 0.04
Exponents and Order of Operations
Place a box around your answer.
 I know that I need more practice with order of operations. (SIGMA workshop/ GLA available.)
16. 34
17. 2  5 
Answer: -81 (the negative is not being raised to the fourth power)
2
18. 36  24  2 3  3  1
Answer: 50
Answer: 26
Variable Expressions: Distributive Property, Like Terms, Evaluating, Translating
 I need more practice with these problems.
19. Simplify. 2  3 y  9
Answer: 6y – 18
20. Simplify. 3x   12 y   5x   7 y 
Answer: – 2x – 5y
21. Evaluate a  3b 2 when a  4 and b  2 .
Answer: -8
22. Translate into an algebraic expression. “the quotient of eight more than n and seventeen”
Answer: (8+n)/17
Linear Equations and Inequalities in One Variable
 I need more practice with these problems.
23. Solve.
3x  2  5 x  8
Check your answer: 3x  2  5 x  8
-15 – 2 = -25 + 8
Answer: x = -5
-17
= -17
24. Solve. 9  3  2 x  5  12  5x (you will have a fraction as an answer)
Answer: x = 12/11
25. Solve and graph the solution set. 3x  6
Answer: x  2
x
-6
-4
-2
0
2
4
6
Graphing
 I know that I need more practice with graphing. (SIGMA workshop/ GLA available.)
26. Plot the ordered pairs  3,1 ,
 0, 2  ,
 3 10 
and  ,   on the grid below.
3
2
y
5
x
-5
-5
5
27. Graph y  2 x  3 .
What is the slope of this line? _______
What is the y-intercept of this line? (
y
5
x
-5
-5
5
28. Graph 2 x  3 y  6 by finding the x-intercept and the y-intercept.
5
y
The x-intercept is ( ,
The y-intercept is ( ,
x
-5
-5
5
).
).
, )
Word Problems
 I know that I need more practice with word problems. (SIGMA workshops/ GLAs available.)
Set-up the following by:
A) clearly defining the variable that you use.
(For example: Let X = number of bicycles produced) and
B) writing an equation you would use to solve the given word problem.
DO NOT SOLVE THE EQUATION.
29. The sum of six times a number and thirteen is five less than the product of three and the number.
Let X = number
Equation:
6x+13 = 3x – 5
30. The sum of two numbers is 18. The difference between four times the smaller number and seven
is equal to the sum of two times the larger number and five.
Let X = smaller number; 18-x = larger number
OR x = smaller; y = larger
Equation or System: 4x – 7 = 2 (18 – x) + 5
OR x + y = 18; 4x – 7 = 2y + 5
31. If you scored 83, 75, and 88 on your first three exams and you want your overall exam average
on four exams to be 80, what must you score on the fourth exam?
Let X = score on fourth exam
Equation: (83 + 75 + 88 + x) / 4 = 80
32. Amazon.com is advertising a sale on certain DVD box sets for 40% off the original price. If the
sale price of The Simpsons Season 10 box set is $29.99, what is its original price?
Let X = original price
Equation: x – 0.40x = 29.99
33. A coin bank contains 50 coins in nickels and quarters. The coins have a total value of $9.50.
Find the number of nickels and quarters in the bank.
Let X = number of nickels; 50-x = number of quarters
Equation or System:
0.05x + 0.25 (50 – x) = 9.50
OR x = nickels; y = dimes
OR x + y = 50; 0.05x + 0.25y = 9.50