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Question Bank Additions
Developmental Math – Fall 2013
1.6: Exponents and Order of
Operations
Objective: Rewrite a product using exponents.
3 new problems!
• One question gives a repeated factor, one gives unique factors in ascending
order, and one gives unique factors in random order.
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1.6: Exponents and Order of
Operations
Objective: Rewrite an exponential expression as a product without using
exponents.
3 new problems!
• One question has a base and exponent, one has two bases and exponents,
and one has three bases and exponents.
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1.9: Prime Numbers and Prime
Factorizations
Objective: Find the prime factorization of a given number and write it as a
product using exponents.
3 new problems!
• One question has a prime factor repeated three times, one has two repeated
prime factors, and one has three repeated prime factors.
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2.6: Order of Operations with
Fractions and Mixed Numbers
Objective: Solve application problems using U.S. customary units of
measurement.
3 new application problems! Real-world scenarios!
• Perform multiple operations using mixed numbers.
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5.1: Angles
Objective: Understand key terms and ideas related to geometry.
3 new conceptual problems! Vocabulary builder!
• Classify an angle by its measure.
• Classify a pair of angles by a given property.
• Classify a pair of lines by how they intersect.
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5.2: Perimeter
Objective: Understand the name, number of sides, and perimeter formula
for common shapes.
3 new conceptual problems!
• Match a shape name with the number of sides.
• Identify the correct perimeter formula for a given shape.
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5.3: Area
Objective: Solve application problems related to perimeter and area.
2 new application problems!
• Find the perimeter and area of the same shape.
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5.7: Square Roots and the
Pythagorean Theorem
Objective: Use the distance formula to find the distance between two
points.
2 new problems!
• One question simplifies to an integer value and the other results in a square
root.
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6.2: Reading Graphs
Objective: Understand the purpose of different types of graphs.
2 new conceptual problems! Understand and apply the definition!
• Identify the type of graph that would be most appropriate in a given scenario.
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7.8: Translating English Phrases and
Algebraic Expressions
Objective: Translate English phrases into algebraic expressions.
6 new application problems! Real-world scenarios!
• Questions use one variable and range in complexity.
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8.1a: Solving Linear Equations
Objective: Solve linear equations of the form x + b = c.
2 new application problems!
• The equation is given in the problem.
• Use addition or subtraction to solve the equation.
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8.1b: Solving Linear Equations
Objective: Solve linear equations of the form ax = c.
2 new application problems!
• The equation is given in the problem.
• Use multiplication or division to solve the equation.
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8.2: Solving Linear Equations
Objective: Solve linear equations of the form ax + b = c.
4 new application problems!
• The equation is given in the problem.
• Use addition/subtraction and multiplication/division to solve the equation.
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8.3: Solving Linear Equations
Objective: Solve linear equations of the form ax + b = cx + d.
2 new application problems!
• Solve a given equation representing a real-life scenario.
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8.3: Solving Linear Equations
Objective: Solve linear equations of the form ax + b = cx + d.
2 new conceptual problems! Understand and apply the definition!
• Determine if a given equation is a conditional equation, an identity, or a
contradiction.
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8.4: Introduction to Problem Solving
Objective: Translate word problems into an equation and solve.
5 new application problems! Real-world scenarios!
• Determine the equation from the given scenario and then solve.
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8.6: Applications: Distance-Rate-Time,
Interest, Average
Objective: Solve application problems involving distance, rate, and time.
2 new application problems! Real-world scenarios!
• Questions are easier than those currently in the lesson.
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8.6: Applications: Distance-Rate-Time,
Interest, Average
Objective: Use the definition of average to find an unknown value.
2 new application problems!
• Applications involve real-world scenarios.
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8.7: Solving Linear Inequalities
Objective: Translate word problems into an inequality and solve.
2 new application problems! Real-world scenarios!
• Determine the inequality from the problem and then solve.
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8.7: Solving Linear Inequalities
Objective: Understand the solution set to an inequality.
4 new conceptual problems!
• The solution set to an inequality may be shown in graphical form, in interval
notation, or in set-builder notation.
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9.1: The Cartesian Coordinate System
Objectives: Find ordered pairs of real numbers that satisfy a given equation
and graph them in a coordinate plane.
1 new application problem!
• Determine the ordered pairs that satisfy the given equation or formula and fill
in the missing values in the table.
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9.2: Graphing Linear Equations in Two
Variables: Ax + By = C
Objectives: Graph a linear equation and use the graph to estimate y for a
specified value of x.
1 new application problem!
• Graph a linear equation on a given coordinate plane using the scale provided
and then use the graph to determine the response for a specified value of x.
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9.3: The Slope-Intercept Form of a
Line: y = mx + b
Objective: Write the equation of a line from a graph.
1 new application problem!
• Use a line as a model for a real-world application.
• Determine the slope and y-intercept of a line from the graph.
• Write the equation of the line in slope-intercept form.
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9.3: The Slope-Intercept Form of a
Line: y = mx + b
Objective: Calculate the slope as a rate of change.
1 new application problem! Real-world scenario!
• Determine the slope between two given points on a line.
• Interpret the slope as a rate of change.
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9.3: The Slope-Intercept Form of a
Line: y = mx + b
Objectives: Graph data on a coordinate plane and calculate slope between
two points.
2 new application problems! Real-world scenarios!
• Graph data given in a table and then identify the slope between two data
points.
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9.4a: Finding the Equation of a Line
Objective: Find the equation of a line given the slope and a point on the
line.
2 new problems!
• Two questions were removed and split into 4 questions for greater control of
the level of difficulty.
• Some iterations have answers with integers, and some have answers with
fractions.
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9.4a: Finding the Equation of a Line
Objective: Find the equation of a line given two points on the line.
2 new problems!
• Two questions were removed and split into 4 questions for greater control of
the level of difficulty.
• Some iterations have answers with integers, and some have answers with
fractions.
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9.4a: Finding the Equation of a Line
Objective: Use the equation of a line for prediction.
1 new problem!
• An equation is given for a set of data for use in predicting a future event.
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9.4b: Finding the Equation of a Line
Objective: Use two points to write the equation of a line.
1 new application problem!
• Use two points from a table to construct a line that approximates the data.
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11.2b: Scientific Notation
Objective: Convert between integer powers of 10 and equivalent decimal
numbers.
4 new problems!
• Convert from an integer power of 10 to the equivalent decimal number.
• Convert from a decimal number to the equivalent integer power of 10.
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13.1a: Simplifying Rational
Expressions
Objective: Simplify rational expressions by factoring the numerator and
denominator and removing common factors.
5 new problems!
• Common factors in the numerator and denominator are now easier to
recognize.
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13.2: Addition and Subtraction with
Rational Expressions
Objective: Add and subtract rational expressions.
5 new problems!
• Add and subtract rational expressions.
• The rational expression must be reduced after performing the addition or
subtraction.
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13.5: Applications: Rational
Expressions
Objective: Solve applied problems involving distance, rate, time, and work.
5 new application problems!
• Solve a real-world scenario.
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13.5: Applications: Rational
Expressions
Objective: Solve applied problems involving rational expressions.
2 new problems!
• Solve a real-world problem involving fractions.
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14.1: Evaluating Radicals
Objective: Estimate the value of a radical.
1 new problem!
• Determine the integer values that are less than and greater a given radical
expression.
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14.4: Rationalizing Denominators
Objective: Rationalize the denominators of rational expressions.
15 new problems!
• Given expressions have a radical in the denominator.
• The fractions cannot be simplified before rationalizing the denominator.
• Some only involve numbers, and some involve both numbers and variables.
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14.5: Solving Radical Equations
Objective: Solve equations that contain one or more radical expressions.
2 new problems!
• Solve a radical equation involving the sum or difference of two radical terms
and a constant.
• The expressions must be squared twice to clear the radicals.
• Students must check for extraneous solutions.
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A.2a: Metric System: Length and Area
Objective: Determine the most appropriate metric unit of length to
measure a given scenario.
3 new conceptual problems! Understand and apply the definition!
• Scenarios cover kilometers, meters, and millimeters.
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A.2b: Metric System: Weight and
Volume
Objective: Determine the most appropriate metric unit of mass to measure
a given scenario.
2 new conceptual problems! Understand and apply the definition!
• Scenarios cover milligrams, grams, and kilograms.
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