Download Test 1 - Dalton State

Algebra for Teachers
MATH 3803 (Hawkins)
Exam I: Chapter One
Name ____________________
Questions are 3 points each. Show your work!
True / False:
1.
–
x represents a negative number.
2.
Every whole number is a rational number.
3.
Multiplication is repeated addition
Answer the following:
4.
Evaluate the expression for the given substitution.
5
7  12d when d 
6
5.
Write the product using exponents:
4 x x x x x y  y
Perform the following operations:
1527
6.
Add:
8.
Multiply:
 393
Subtract:
 125
9.
Divide:
123  12
148
 72
280
7.
1
Answer the following:
10.
11.
Consider the set of numbers:
3
1


 2, 6, 7 , 0, , 1.47,  , 3 ,  
11
5


a)
List the elements of Integers
b)
List the elements of Rational Numbers
Use the order of operations to simplify the expression:
7  10  2  4  6
Simplify the following:
12.
23  (21)
13.
 (((27)))
Perform the following operations:
14.
2 1

5 5
15.
2 1

3 4
16.
1 6
 
3 7
17.
8
1
2
2
Answer the following:
83  41
18.
Show two different methods (non-traditional) to add:
19.
Show two different methods (non-traditional) to multiply: 83 41
20.
Why are colored tiles or base ten tiles useful in arithmetic?
3
Answer the following:
21.
Find the area and perimeter of the figure shown:
22.
Find the area of the irregular shape
23.
List the order of operations and discuss why they are important.
4
Multiple Choice:
24.
Arrange the following numbers in the order you would place them on a
number line, going from left to right. 6, –3, 5, –8, –10
a. 6, 5, –3, –8, –10
b. –3, –8, –10, 5, 6
c. –3, 5, 6, –8, –10
d. –10, –8, –3, 5, 6
25.
Simplify:
a.
b.
c.
d.
5(2)  4(1)
25
4
2
–2
–4
26.
(-6) - (-4) =
a. -10
b. 10
c. -2
d. 2
27.
Simplify |-13| - |5|.
a. 8
b. -8
c. -18
d. 18
28.
Which symbol makes the expression -15 ___ -14 true?
a. =
b. <
c. >
d. x
29.
Samantha used 120 yards of fencing to enclose a rectangular horse corral. If
she uses the 30-yard wall of the stable as one side, what is the area enclosed
by the fence?
a. 900 yd2
b. 2025 yd2
c. 1350 yd2
d. 1800 yd2
30.
Evaluate the following:
a.
b.
c.
d.
1 2 3 4 5
    
2 3 4 5 6
1
16
17
27
13
18
7
9
5
Multiple Choice:
31.
Four
students about to purchase concert tickets for $18.50 for each ticket
discover that they may purchase a block of 5 tickets for $80.00. How much
would each of the 4 save if they can get a fifth person to join them and the 5
people equally divide the price of the 5-ticket block?
a. $ 1.50
b. $ 2.50
c. $ 3.13
d. $ 10.00
32.
Which is an irrational number?
a.
5
1
b. 2
c. -3
d. 0
33.
Simplify:
a.
b.
c.
d.
2 4  28
22
216
210
26
2
Bonus (3 points)
A farmer left his L-shape farm to his four daughters. Divide the property into four
pieces so that each piece is exactly the same size and shape.
1 km
1 km
1 km
2 km
1 km
2 km
6