ALEKS MATH EXAMINATION COMPLETE
QUESTIONS AND DETAILED SOLUTIONS
LATEST UPDATE THIS YEAR JUST
RELEASED
ALEKS Math Examination
1. Arithmetic Operations and Number Sense
Operations with integers, fractions, decimals, and mixed numbers.
Order of operations, estimation, and absolute value.
2. Fractions, Ratios, Proportions, and Percents
Simplifying fractions.
Solving proportion problems.
Percent increase/decrease and applications.
3. Algebraic Expressions
Simplifying expressions.
Combining like terms.
Evaluating formulas.
Properties of exponents.
4. Linear Equations and Inequalities
One-variable equations.
Multi-step equations.
Absolute value equations.
Compound inequalities.
5. Graphing and Coordinate Geometry
, Slope.
Distance and midpoint.
Graphing lines.
Equation of a line.
6. Systems of Equations
Graphical solutions.
Elimination.
Substitution.
Applications.
7. Polynomial Operations
Adding, subtracting, multiplying polynomials.
Factoring.
Quadratic equations.
8. Functions
Function notation.
Domain and range.
Evaluating functions.
Transformations.
9. Exponents, Radicals, and Rational Expressions
Simplifying radicals.
Rationalizing denominators.
Exponential rules.
Rational expressions.
10. Geometry and Basic Trigonometry
Area.
Volume.
Angles.
Pythagorean theorem.
Right triangle trigonometry.
,ALEKS Math Examination
1.
A student evaluates the expression 8 + 6 × (9 − 5)² ÷ 8 using
the correct order of operations. What is the final value?
A. 18
B. 20
C. 24
D. 16
Answer: D
Rationale: Parentheses, exponents, multiplication/division,
then addition give 16.
2.
A recipe requires 3/4 cup of sugar for one batch. If four
identical batches are prepared, how many cups of sugar are
needed altogether?
A. 2
B. 3
C. 2½
D. 4
Answer: B
Rationale: (4 \times \frac34=3) cups.
, 3.
A store increases the price of a backpack from $48 by 25%.
What is the new selling price?
A. $54
B. $58
C. $60
D. $62
Answer: C
Rationale: 25% of 48 is 12; total equals 60.
4.
Solve the equation 5x − 13 = 27, showing the value that
satisfies both sides of the equation correctly.
A. 6
B. 7
C. 8
D. 9
Answer: C
Rationale: Add 13 then divide by 5.
QUESTIONS AND DETAILED SOLUTIONS
LATEST UPDATE THIS YEAR JUST
RELEASED
ALEKS Math Examination
1. Arithmetic Operations and Number Sense
Operations with integers, fractions, decimals, and mixed numbers.
Order of operations, estimation, and absolute value.
2. Fractions, Ratios, Proportions, and Percents
Simplifying fractions.
Solving proportion problems.
Percent increase/decrease and applications.
3. Algebraic Expressions
Simplifying expressions.
Combining like terms.
Evaluating formulas.
Properties of exponents.
4. Linear Equations and Inequalities
One-variable equations.
Multi-step equations.
Absolute value equations.
Compound inequalities.
5. Graphing and Coordinate Geometry
, Slope.
Distance and midpoint.
Graphing lines.
Equation of a line.
6. Systems of Equations
Graphical solutions.
Elimination.
Substitution.
Applications.
7. Polynomial Operations
Adding, subtracting, multiplying polynomials.
Factoring.
Quadratic equations.
8. Functions
Function notation.
Domain and range.
Evaluating functions.
Transformations.
9. Exponents, Radicals, and Rational Expressions
Simplifying radicals.
Rationalizing denominators.
Exponential rules.
Rational expressions.
10. Geometry and Basic Trigonometry
Area.
Volume.
Angles.
Pythagorean theorem.
Right triangle trigonometry.
,ALEKS Math Examination
1.
A student evaluates the expression 8 + 6 × (9 − 5)² ÷ 8 using
the correct order of operations. What is the final value?
A. 18
B. 20
C. 24
D. 16
Answer: D
Rationale: Parentheses, exponents, multiplication/division,
then addition give 16.
2.
A recipe requires 3/4 cup of sugar for one batch. If four
identical batches are prepared, how many cups of sugar are
needed altogether?
A. 2
B. 3
C. 2½
D. 4
Answer: B
Rationale: (4 \times \frac34=3) cups.
, 3.
A store increases the price of a backpack from $48 by 25%.
What is the new selling price?
A. $54
B. $58
C. $60
D. $62
Answer: C
Rationale: 25% of 48 is 12; total equals 60.
4.
Solve the equation 5x − 13 = 27, showing the value that
satisfies both sides of the equation correctly.
A. 6
B. 7
C. 8
D. 9
Answer: C
Rationale: Add 13 then divide by 5.
