COLLEGE ALGEBRA EXAMINATION QUESTIONS AND
CORRECT ANSWER WITH EXPLANATION GRADED A+
STUDY GUIDE SOUTHERN NEW HAMPSHIRE UNIVERSITY
1. Algebra is mainly the study of:
A. Symbols and their manipulation
B. Biology
C. Chemistry reactions
D. Drawing shapes
Answer: A
Rationale: Algebra uses symbols to represent numbers and relationships.
2. A variable represents:
A. An unknown value
B. A fixed constant
C. A chemical
D. A graph
Answer: A
Rationale: Variables stand for unknown or changing values.
3. A constant is:
A. A fixed value
B. A variable
C. An equation
D. A function
Answer: A
Rationale: It does not change.
4. An expression contains:
A. Numbers, variables, and operations
B. Only numbers
C. Only variables
D. Only equations
Answer: A
Rationale: Expressions are combinations of terms.
5. An equation is:
A. A statement that two expressions are equal
, B. A graph
C. A number
D. A variable
Answer: A
Rationale: Equations show equality.
6. Solve for x: x + 5 = 10 gives:
A. 5
B. 10
C. 15
D. 0
Answer: A
Rationale: Subtract 5 from both sides.
7. A linear equation has degree:
A. 1
B. 2
C. 3
D. 0
Answer: A
Rationale: Highest exponent is 1.
8. The slope-intercept form is:
A. y = mx + b
B. x = y + m
C. y = m + x
D. y = x² + b
Answer: A
Rationale: Standard linear form.
9. In y = mx + b, m represents:
A. Slope
B. Intercept
C. Variable
D. Constant term
Answer: A
Rationale: m is the slope.
10. In y = mx + b, b represents:
A. y-intercept
, B. slope
C. variable
D. exponent
Answer: A
Rationale: Point where line crosses y-axis.
11. A system of equations involves:
A. Two or more equations
B. One equation
C. No equations
D. Only variables
Answer: A
Rationale: Multiple equations together.
12. A solution to a system is:
A. Values satisfying all equations
B. Any number
C. A graph only
D. A variable
Answer: A
Rationale: Must satisfy all equations.
13. Substitution method is used to:
A. Solve systems
B. Graph functions only
C. Multiply polynomials
D. Factor expressions
Answer: A
Rationale: Replace one variable.
14. Elimination method removes:
A. A variable
B. A constant
C. A graph
D. An equation
Answer: A
Rationale: Eliminates one variable.
15. A function is:
A. A rule assigning inputs to outputs
CORRECT ANSWER WITH EXPLANATION GRADED A+
STUDY GUIDE SOUTHERN NEW HAMPSHIRE UNIVERSITY
1. Algebra is mainly the study of:
A. Symbols and their manipulation
B. Biology
C. Chemistry reactions
D. Drawing shapes
Answer: A
Rationale: Algebra uses symbols to represent numbers and relationships.
2. A variable represents:
A. An unknown value
B. A fixed constant
C. A chemical
D. A graph
Answer: A
Rationale: Variables stand for unknown or changing values.
3. A constant is:
A. A fixed value
B. A variable
C. An equation
D. A function
Answer: A
Rationale: It does not change.
4. An expression contains:
A. Numbers, variables, and operations
B. Only numbers
C. Only variables
D. Only equations
Answer: A
Rationale: Expressions are combinations of terms.
5. An equation is:
A. A statement that two expressions are equal
, B. A graph
C. A number
D. A variable
Answer: A
Rationale: Equations show equality.
6. Solve for x: x + 5 = 10 gives:
A. 5
B. 10
C. 15
D. 0
Answer: A
Rationale: Subtract 5 from both sides.
7. A linear equation has degree:
A. 1
B. 2
C. 3
D. 0
Answer: A
Rationale: Highest exponent is 1.
8. The slope-intercept form is:
A. y = mx + b
B. x = y + m
C. y = m + x
D. y = x² + b
Answer: A
Rationale: Standard linear form.
9. In y = mx + b, m represents:
A. Slope
B. Intercept
C. Variable
D. Constant term
Answer: A
Rationale: m is the slope.
10. In y = mx + b, b represents:
A. y-intercept
, B. slope
C. variable
D. exponent
Answer: A
Rationale: Point where line crosses y-axis.
11. A system of equations involves:
A. Two or more equations
B. One equation
C. No equations
D. Only variables
Answer: A
Rationale: Multiple equations together.
12. A solution to a system is:
A. Values satisfying all equations
B. Any number
C. A graph only
D. A variable
Answer: A
Rationale: Must satisfy all equations.
13. Substitution method is used to:
A. Solve systems
B. Graph functions only
C. Multiply polynomials
D. Factor expressions
Answer: A
Rationale: Replace one variable.
14. Elimination method removes:
A. A variable
B. A constant
C. A graph
D. An equation
Answer: A
Rationale: Eliminates one variable.
15. A function is:
A. A rule assigning inputs to outputs
