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```Advanced Algebra
Formative #1
Name:
Hegner
Multiple Choice: Identify the choice that best completes the statement or answers the question. Show your work!
1.
Find the domain of the relation:
a.
b.
2.
c.
d.
Name the quadrant in which point (1, 0) is located.
a. V
b. none
3.
c. I
d. II
Find the product:
a.
b.
4.
c.
d.
Factor the polynomial:
a.
b.
5.
c.
d.
Evaluate the given expression if x = 25, y = 10, w = 14, and z =  4:
a. 785
6.
d. –335
b.
c.
d.
b.
c.
d.
Simplify:
a.
8.
c. 1785
Simplify:
a.
7.
b. 575
Evaluate the given expression if k  8 :
a.
42
b.
22
42
c.
22
d.
c.
1
d. 4
Solve for x: 6 x  5  11
9.
a.
1
b. 11
10.
Solve for n: 8(3n  6)  8n  6n  10
a. All real numbers
11.
c. 1
d. 10
b. m= 35, –19
c. m= 35, 19
d. m= –35, –19
b. s= –1.97, –3.03
c. s= 29.5, –3.03
d. s= –1.97, 3.03
Solve for m:
a. m= 35, 29
12.
b. No solution
Solve for s:
a. s= 1.97, –3.03
Formative #1
MULTIPLE CHOICE
1. ANS: C
PTS: 1
DIF: Basic
REF: Lesson 0-1
OBJ: 0-1.1 Identify the domain and range of functions.
STA: IL J 8B.4
TOP: Representing functions.
KEY: domain | range | function
2. ANS: B
PTS: 1
DIF: Basic
OBJ: 0-1.1 Identify the domain and range of functions.
TOP: Representing functions.
REF:
STA:
Lesson 0-1
IL J 8B.4
3. ANS: D
PTS: 1
DIF: Basic
OBJ: 0-2.1 Use the FOIL method to multiply binomials.
KEY: FOIL
REF: Lesson 0-2
TOP: FOIL
4. ANS: A
PTS: 1
DIF: Basic
OBJ: 0-3.1 Use various techniques to factor polynomials.
TOP: Factoring polynomials.
REF:
STA:
Lesson 0-3
IL J 8A.7
5. ANS: A
Evaluate the expression by replacing each variable with its corresponding number and then applying the order of
operations.
A
B
C
D
PTS:
OBJ:
NAT:
TOP:
MSC:
Feedback
Correct!
Did you calculate correctly?
Did you substitute the correct values?
Did you perform all the calculations?
1
DIF: Basic
REF: Lesson 1-1
1-1.1 Use the order of operations to evaluate expressions.
NA 1 | NA 4 | NA 9 | NA 2
STA: IL J 8A
Use the order of operations to evaluate expressions.
KEY:
1998 Lesson 1-1
6. ANS: B
Use the properties of real numbers to simplify the given expression.
A
B
C
D
Feedback
Did you simplify the entire expression?
Correct!
Did you interchange the coefficients?
Did you calculate correctly?
Evaluate Expressions
PTS:
OBJ:
NAT:
TOP:
KEY:
1
DIF: Average
REF: Lesson 1-2
1-2.2 Use the properties of real numbers to evaluate expressions.
NA 1 | NA 9 STA: IL J 6B.1 | IL J 6B
Use the properties of real numbers to evaluate expressions.
Real Numbers | Evaluate Expressions
MSC: 1998 Lesson 1-2
7. ANS: B
Apply the Distributive Law and simplify the given expression to get the required answer.
A
B
C
D
PTS:
OBJ:
NAT:
TOP:
KEY:
Feedback
Did you simplify the coefficient of y?
Correct!
You have calculated an incorrect coefficient of y.
Did you simplify the coefficient of x?
1
REF: Lesson 1-2
1-2.2 Use the properties of real numbers to evaluate expressions.
NA 1 | NA 9 STA: IL J 6B.1 | IL J 6B
Use the properties of real numbers to evaluate expressions.
Real Numbers | Evaluate Expressions
MSC: 1998 Lesson 1-2
8. ANS: B
For any real number a, if a is positive or zero, the absolute value of a is a. If a is negative, the absolute value of a is
the opposite of a. Substitute the value of k in the equation and solve it.
A
B
C
D
PTS:
OBJ:
STA:
KEY:
Feedback
Did you use absolute values in the calculation?
Correct!
You have not performed all of the required calculations.
Did you perform the correct arithmetic operation?
1
DIF: Average
REF: Lesson 1-4
1-4.1 Evaluate expressions involving absolute values.
NAT: NA 1 | NA 9 | NA 10 | NA 2
IL J 6B.4 | IL J 6B
TOP: Evaluate expressions involving absolute values.
Evaluate Expressions | Absolute Value
MSC: 1998 Lesson 1-5
9. ANS: D
For any real number a, if a is positive or zero, the absolute value of a is a. If a is negative, the absolute value of a is
the opposite of a. Substitute the value of k in the equation and solve it.
A
B
C
Feedback
Did you use absolute values in the calculation?
Did you perform the correct arithmetic operation?
You have not performed all of the required calculations.
D
PTS:
OBJ:
STA:
KEY:
Correct!
1
DIF: Average
REF: Lesson 1-4
1-4.1 Evaluate expressions involving absolute values.
NAT: NA 1 | NA 9 | NA 10 | NA 2
IL J 6B.4 | IL J 6B
TOP: Evaluate expressions involving absolute values.
Evaluate Expressions | Absolute Value
MSC: 1998 Lesson 1-5
10. ANS: B
For any real numbers a and b, where
A
B
C
D
PTS:
OBJ:
STA:
MSC:
PTS:
OBJ:
STA:
MSC:
, then
, or
.
Feedback
Did you calculate correctly?
Correct!
Did you consider the negative value of (m – 1)?
Did you use the correct sign of each value?
1
DIF: Average
REF: Lesson 1-4
1-4.2 Solve absolute value equations.
IL J 8D
TOP: Solve absolute value equations.
1998 Lesson 1-5
11. ANS: B
For any real numbers a and b, where
A
B
C
D
, if
, if
, then
NAT: NA 1 | NA 9 | NA 10 | NA 2
KEY: Solve Equations | Absolute Value
, or
.
Feedback
Did you verify the solution in the original equation?
Correct!
Did you use the correct values for calculations?