Download Diagnostic Review – Units 0, 1, 2 in Math 095

Diagnostic Review – Units 0, 1, 2 in Math 095
The Math Diagnostic Sequence at the College of Western Idaho allows students to test out of
Units in Math 095. The diagnostic levels have between 10 and 25 questions. If you complete a
level with a passing score, you may attempt the next level in the sequence. You are limited to
two attempts per level in the Diagnostic. The two attempts do not need to be on the same day.
Units 0, 1, 2 – Basic Geometry, Measurement, Basic Statistics, Algebraic Expressions and
Linear Equations
Topics for Unit 0,1,2 Diagnostic Test
Write whole numbers in standard form
Solve perimeter and area applications with
real numbers
Round decimal numbers to a given place
value
Find the mean, median and mode
Examples
1. Three hundred fifty-six thousand nine
hundred eighty-three
2. Find the perimeter and area of a
rectangle with a width of 12 cm and a
length of 17 cm
3. Round 874.0398 to the nearest hundredth
Multiply/Divide integers
4. Find the mean of
2, 6, 8, 3, 5, 2
5. −3(6)(−5) ÷ 9
Add/Subtract integers
6. Subtract: −12 − (−3)
Multiply/divide fractions (simplify)
7. Multiply: 2 (− 7) (− 8)
Add/subtract fractions (simplify)
8. Subtract: − −
Simplify expressions with real numbers using
order of operations
Evaluate algebraic expressions
9. −5 + 4[5 − 4(1 − 4)2 ]
Use distributive property
1
6
5
6
10.
−2𝑥−6
𝑥−4
5
3
8
for x = 10
(Leave answer as an improper fraction)
11. 4(2 y  5)
Simplify an algebraic expression and
combine like terms
Translate a word phrase into an algebraic
expression
Solve equations by using both the addition
and multiplication properties
Solve linear equations containing
parentheses
Solve equations containing fractions
12. −3(𝑥 − 8) + 2𝑥 − (6𝑥 − 4)
Solve equations containing decimals
17. Solve −6.8𝑦 + 4.26𝑦 = 13.3 − 6.34𝑦
Solving word problems by adding,
subtracting, multiplying or dividing integers
18. If there is $56 in a savings account and a
deposit of $40 is made and a withdrawal
13. Three more than twice the sum of a
number and 20
14. 2𝑥 + 5 = 17
15. Solve 4(2𝑥 − 5) = 6(𝑥 + 2) − 10
16. Solve
1
𝑥
2
3
7
+ 8 = 5 𝑥 − 10
of $18 is made, how much remains in the
account?
19. Solve |𝑥| = 21
Solve an absolute value equation
1
Solve a formula for a specified variable
20. Solve 𝐴 = 2 𝑏ℎ for h
Evaluate a formula
21. Find the value of t (in years) if
I = Prt, I = $1560, P = $13,000, r = 0.03
Evaluate exponential expressions
 2
22.   
 3
3
Answers:
Units 0, 1, 2 – Geometry, Intro to Algebra, Linear Equations, Probability and Statistics
1. 356,983
2. P = 58 cm
A = 204 cm2
6. – 9
7. 56
8. −
11. 8y – 20
12. -7x + 28
13. 3+2(x+20)
16. x = 87
17. y = 3.5
18. $78
21. t = 4 years
22. 
15
3. 874.04
29
24
4. 4. 3̅ or 4 1⁄3
5. 10
9. - 129
10. −
14. x = 6
19. {−21, 21}
15. x = 11
8
27
Some websites to help you practice are:
IXL https://www.ixl.com/math/algebra-1
S.O.S Math http://www.sosmath.com/algebra/algebra.html
Khan Academy https://www.khanacademy.org/math/algebra?t=practice
Purplemath http://www.purplemath.com/
13
3
20. ℎ =
2𝐴
𝑏