FDR — Fundamental Readiness

• FDR.R01 I can compute with fractions and simplify numerical expressions using order of operations.

  Sample Problems

  • MyOpenMath Question 117177
  • MyOpenMath Question 117182

• FDR.R02 I can evaluate powers with whole-number, zero, and negative exponents.

  Sample Problems

  • MyOpenMath Question 625190
  • MyOpenMath Question 420859

• FDR.R03 I can identify terms, factors, coefficients, constants, and degree in algebraic expressions.

  Sample Problems

  • MyOpenMath Question 14066
  • MyOpenMath Question 1220894

• FDR.R04 I can evaluate algebraic expressions for given variable values.

  Sample Problems

  • MyOpenMath Question 296
  • MyOpenMath Question 293

• FDR.R05 I can simplify polynomial expressions by distributing and combining like terms.

  Sample Problems

  • MyOpenMath Question 104810
  • MyOpenMath Question 150965

• FDR.R06 I can identify values that make denominators zero.

  Sample Problems

  • MyOpenMath Question 45296
  • MyOpenMath Question 1587158

• FDR.R07 I can evaluate simple square roots, cube roots, and absolute values.

  Sample Problems

  • MyOpenMath Question 378674
  • MyOpenMath Question 327

• FDR.R08 I can represent solution sets on a number line.

  Sample Problems

  • MyOpenMath Question 211373
  • MyOpenMath Question 7745

• FDR.R09 I can use the Pythagorean Theorem.

  Sample Problems

  • MyOpenMath Question 2758
  • MyOpenMath Question 2759

• FDR.R10 I can apply basic geometry formulas for perimeter, circumference, area, and volume.

  Sample Problems

  • MyOpenMath Question 534317
  • MyOpenMath Question 743691

FDM — Fundamental Mindset

• FDM.M01 I can document my work clearly enough to identify where an error occurred.

  No MyOpenMath sample linked.

• FDM.M02 I can self-correct work after receiving feedback.

  No MyOpenMath sample linked.

• FDM.M03 I can distinguish between arithmetic errors, algebraic errors, notation errors, and conceptual errors.

  No MyOpenMath sample linked.

• FDM.M04 I can persist through multi-step problems by breaking them into smaller steps.

  No MyOpenMath sample linked.

• FDM.M05 I can check whether an answer is reasonable in context.

  No MyOpenMath sample linked.

Course Assessment Goals

NEX — Exponents and Polynomial Expressions

• NEX.C01 I can simplify expressions using integer exponent rules and write answers with positive exponents.

  Sample Problems

  • MyOpenMath Question 212096
  • MyOpenMath Question 123505

• NEX.C02 I can simplify polynomial expressions using distribution, properties of operations, and combining like terms.

  Sample Problems

  • MyOpenMath Question 104810
  • MyOpenMath Question 14087

FAC — Factoring Polynomials

• FAC.C01 I can factor out the greatest common factor from a polynomial.

  Sample Problems

  • MyOpenMath Question 124509
  • MyOpenMath Question 188408

• FAC.C02 I can factor trinomials.

  Sample Problems

  • MyOpenMath Question 832089
  • MyOpenMath Question 189359

• FAC.C03 I can factor four-term polynomials by grouping.

  Sample Problems

  • MyOpenMath Question 188446
  • MyOpenMath Question 682796

• FAC.C04 I can factor binomials using special formulas such as difference of squares and sum or difference of cubes.

  Sample Problems

  • MyOpenMath Question 189373
  • MyOpenMath Question 191352

• FAC.C05 I can factor polynomials completely using appropriate factoring methods.

  Sample Problems

  • MyOpenMath Question 176138
  • MyOpenMath Question 194178

• FAC.A01 I can choose and combine multiple factoring strategies, including substitution, to factor complex polynomial expressions.

  Sample Problems

  • MyOpenMath Question 957290
  • MyOpenMath Question 957226

RTX — Rational Expressions

• RTX.C01 I can determine restrictions and domains of rational expressions.

  Sample Problems

  • MyOpenMath Question 45296
  • MyOpenMath Question 1587158

• RTX.C02 I can simplify rational expressions by factoring and canceling common factors.

  Sample Problems

  • MyOpenMath Question 659817
  • MyOpenMath Question 758063

• RTX.C03 I can multiply and divide rational expressions.

  Sample Problems

  • MyOpenMath Question 1456397
  • MyOpenMath Question 758133

• RTX.C04 I can add and subtract rational expressions.

  Sample Problems

  • MyOpenMath Question 1987
  • MyOpenMath Question 758137

• RTX.C05 I can simplify complex rational expressions.

  Sample Problems

  • MyOpenMath Question 40311
  • MyOpenMath Question 3079

RDX — Radicals and Rational Exponents

• RDX.C01 I can simplify radical expressions.

  Sample Problems

  • MyOpenMath Question 378674
  • MyOpenMath Question 436428

• RDX.C02 I can add, subtract, multiply, and divide radical expressions.

  Sample Problems

  • MyOpenMath Question 220360
  • MyOpenMath Question 287343

• RDX.C03 I can convert between radical notation and rational exponent notation.

  Sample Problems

  • MyOpenMath Question 269329
  • MyOpenMath Question 19891

• RDX.C04 I can evaluate and simplify expressions with rational exponents.

  Sample Problems

  • MyOpenMath Question 3973
  • MyOpenMath Question 674328

• RDX.C05 I can rationalize denominators or numerators involving radicals.

  Sample Problems

  • MyOpenMath Question 756330
  • MyOpenMath Question 959969

CPL — Complex Numbers

• CPL.C01 I can simplify powers of i and perform arithmetic operations with complex numbers.

  Sample Problems

  • MyOpenMath Question 71448
  • MyOpenMath Question 3144

• CPL.C02 I can evaluate polynomials or functions at complex numbers.

  Sample Problems

  • MyOpenMath Question 212126
  • MyOpenMath Question 1587687

QPE — Quadratic and Polynomial Equations

• QPE.C01 I can solve quadratic equations by factoring.

  Sample Problems

  • MyOpenMath Question 191434
  • MyOpenMath Question 191437

• QPE.C02 I can solve polynomial equations by factoring when possible, including cubic equations.

  Sample Problems

  • MyOpenMath Question 191446
  • MyOpenMath Question 29169

• QPE.C03 I can solve quadratic equations by completing the square.

  Sample Problems

  • MyOpenMath Question 131849
  • MyOpenMath Question 2538

• QPE.C04 I can solve quadratic equations using the quadratic formula.

  Sample Problems

  • MyOpenMath Question 2228
  • MyOpenMath Question 165353

• QPE.C05 I can solve quadratic equations with complex solutions.

  Sample Problems

  • MyOpenMath Question 2232
  • MyOpenMath Question 71448

• QPE.A01 I can solve equations that can be written in quadratic form and explain the substitution or structure used.

  Sample Problems

  • MyOpenMath Question 254360
  • MyOpenMath Question 442835

RTE — Rational Equations

• RTE.C01 I can solve rational equations and identify restrictions.

  Sample Problems

  • MyOpenMath Question 18633
  • MyOpenMath Question 311504

• RTE.C02 I can check for and reject extraneous solutions in rational equations.

  Sample Problems

  • MyOpenMath Question 51506
  • MyOpenMath Question 18991

• RTE.C03 I can solve literal equations, including rational formulas, for a specified variable.

  Sample Problems

  • MyOpenMath Question 29561
  • MyOpenMath Question 29564

• RTE.A01 I can solve word problems involving rational equations.

  Sample Problems

  • MyOpenMath Question 895901
  • MyOpenMath Question 61345

RDE — Radical Equations

• RDE.C01 I can solve radical equations involving one or more radical terms.

  Sample Problems

  • MyOpenMath Question 19110
  • MyOpenMath Question 152748

• RDE.C02 I can check for and reject extraneous solutions in radical equations.

  Sample Problems

  • MyOpenMath Question 175995
  • MyOpenMath Question 175961

• RDE.A01 I can solve quadratic-like radical equations or radical equations requiring multiple algebraic strategies.

  Sample Problems

  • MyOpenMath Question 442833
  • MyOpenMath Question 1400099

ABS — Absolute Value Equations and Functions

• ABS.C01 I can solve absolute value equations involving one or more absolute value expressions.

  Sample Problems

  • MyOpenMath Question 7659
  • MyOpenMath Question 7666

• ABS.C02 I can solve equations involving absolute value functions written in function notation.

  Sample Problems

  • MyOpenMath Question 190456
  • MyOpenMath Question 194692

INE — Inequalities

• INE.C01 I can convert among inequality notation, interval notation, set-builder notation, and number-line graphs.

  Sample Problems

  • MyOpenMath Question 211373
  • MyOpenMath Question 7745

• INE.C02 I can solve linear and compound linear inequalities and write solution sets in interval notation.

  Sample Problems

  • MyOpenMath Question 38186
  • MyOpenMath Question 7753

SYS — Systems of Linear Equations

• SYS.C01 I can solve systems of linear equations in two variables.

  Sample Problems

  • MyOpenMath Question 213951
  • MyOpenMath Question 59306

• SYS.C02 I can identify inconsistent and dependent systems of linear equations.

  Sample Problems

  • MyOpenMath Question 1151237
  • MyOpenMath Question 115188

• SYS.A01 I can solve applied problems using systems of linear equations.

  Sample Problems

  • MyOpenMath Question 332763
  • MyOpenMath Question 558399

FUN — Function Essentials and Graph Analysis

• FUN.C01 I can determine whether a relation is a function from a graph, table, equation, or real-world situation.

  Sample Problems

  • MyOpenMath Question 183310
  • MyOpenMath Question 647740

• FUN.C02 I can use function notation to evaluate outputs and find inputs for given outputs.

  Sample Problems

  • MyOpenMath Question 194692
  • MyOpenMath Question 23809

• FUN.C03 I can find the domain and range of a function from its graph.

  Sample Problems

  • MyOpenMath Question 1413244
  • MyOpenMath Question 53557

• FUN.C04 I can estimate function values and solve equations of the form (f(x)=c) using a graph.

  Sample Problems

  • MyOpenMath Question 160177
  • MyOpenMath Question 20070

• FUN.C05 I can identify intercepts and extrema from the graph of a function.

  Sample Problems

  • MyOpenMath Question 160177
  • MyOpenMath Question 354480

• FUN.C06 I can compute and interpret the average rate of change of a function over an interval.

  Sample Problems

  • MyOpenMath Question 73979
  • MyOpenMath Question 74635

• FUN.A01 I can identify intervals on which a function has specified properties, such as increasing, decreasing, positive, negative, above a given value, or below a given value.

  Sample Problems

  • MyOpenMath Question 160177
  • MyOpenMath Question 354480

• FUN.A02 I can use a graph to solve equations and inequalities involving function values, such as (f(x)=c), (f(x)c), or (f(x)c), and interpret the solution set.

  Sample Problems

  • MyOpenMath Question 160177
  • MyOpenMath Question 20070

• FUN.A03 I can connect algebraic, graphical, numerical, and contextual representations to solve non-routine College Algebra problems.

  Sample Problems

  • MyOpenMath Question 354480
  • MyOpenMath Question 73979

LIF — Linear Functions

• LIF.C01 I can find slope, intercepts, and equations of lines from points, graphs, or equations.

  Sample Problems

  • MyOpenMath Question 39022
  • MyOpenMath Question 685669

• LIF.C02 I can write equations of parallel or perpendicular lines.

  Sample Problems

  • MyOpenMath Question 343370
  • MyOpenMath Question 173606

• LIF.C03 I can determine whether two lines are parallel, perpendicular, or neither.

  Sample Problems

  • MyOpenMath Question 39022
  • MyOpenMath Question 97494

• LIF.A01 I can model real-world situations using linear functions and interpret results.

  Sample Problems

  • MyOpenMath Question 274342
  • MyOpenMath Question 73756

QDF — Quadratic Functions

• QDF.C01 I can identify the opening direction, vertex, axis of symmetry, intercepts, and extremum of a quadratic function.

  Sample Problems

  • MyOpenMath Question 516195
  • MyOpenMath Question 965094

• QDF.C02 I can convert a quadratic function among standard form, factored form, and vertex form when appropriate.

  Sample Problems

  • MyOpenMath Question 173318
  • MyOpenMath Question 933754

• QDF.C03 I can graph a quadratic function using its vertex, axis of symmetry, intercepts, and an additional point.

  Sample Problems

  • MyOpenMath Question 19227
  • MyOpenMath Question 19228

• QDF.C04 I can determine the domain, range, maximum or minimum value, and where the maximum or minimum occurs for a quadratic function.

  Sample Problems

  • MyOpenMath Question 24021
  • MyOpenMath Question 34267

• QDF.C05 I can determine where a quadratic function is positive or negative using its graph, intercepts, or equation.

  Sample Problems

  • MyOpenMath Question 32571
  • MyOpenMath Question 134514

• QDF.A01 I can model real-world situations using quadratic functions and interpret results.

  Sample Problems

  • MyOpenMath Question 32649
  • MyOpenMath Question 677391

• QDF.A02 I can determine an equation for a quadratic function from its graph or from key features such as vertex, intercepts, and an additional point.

  Sample Problems

  • MyOpenMath Question 15812
  • MyOpenMath Question 15950

• QDF.A03 I can interpret maximum or minimum values, intercepts, and solutions of quadratic functions in real-world contexts.

  Sample Problems

  • MyOpenMath Question 362527
  • MyOpenMath Question 1184185

RRP — Rational, Radical, and Power Functions

• RRP.C01 I can find the domain of a rational function.

  Sample Problems

  • MyOpenMath Question 1587158
  • MyOpenMath Question 173634

• RRP.C02 I can find the domain of a radical function.

  Sample Problems

  • MyOpenMath Question 24078
  • MyOpenMath Question 287400

• RRP.C03 I can evaluate rational, radical, and power functions at given inputs.

  Sample Problems

  • MyOpenMath Question 647934
  • MyOpenMath Question 3973

• RRP.A01 I can solve applied problems involving rational, radical, or power functions and interpret results.

  Sample Problems

  • MyOpenMath Question 685709
  • MyOpenMath Question 1394474

EXP — Exponential Functions

• EXP.C01 I can determine whether a function is exponential.

  Sample Problems

  • MyOpenMath Question 683611

• EXP.C02 I can find the domain and range of an exponential function.

  Sample Problems

  • MyOpenMath Question 805589
  • MyOpenMath Question 805744

• EXP.C03 I can determine whether an exponential function represents growth or decay.

  Sample Problems

  • MyOpenMath Question 1443302

• EXP.C04 I can evaluate exponential functions of the form (y=ab^x).

  Sample Problems

  • MyOpenMath Question 125769
  • MyOpenMath Question 125770

• EXP.A01 I can model compound interest and exponential growth or decay, including formulas involving e.

  Sample Problems

  • MyOpenMath Question 1317138
  • MyOpenMath Question 126956

LOG — Logarithmic Functions

• LOG.C01 I can convert between exponential and logarithmic forms.

  Sample Problems

  • MyOpenMath Question 477435
  • MyOpenMath Question 355805

• LOG.C02 I can evaluate logarithmic expressions.

  Sample Problems

  • MyOpenMath Question 984721
  • MyOpenMath Question 1356292

• LOG.C03 I can find the domain of a logarithmic function.

  Sample Problems

  • MyOpenMath Question 152158
  • MyOpenMath Question 748478

• LOG.C04 I can use logarithm properties to evaluate, expand, and condense logarithmic expressions.

  Sample Problems

  • MyOpenMath Question 77595
  • MyOpenMath Question 129766

• LOG.C05 I can use the change-of-base formula to evaluate logarithms.

  Sample Problems

  • MyOpenMath Question 13569
  • MyOpenMath Question 1499118

ELE — Exponential and Logarithmic Equations

• ELE.C01 I can solve simple exponential equations by rewriting with a common base.

  Sample Problems

  • MyOpenMath Question 35076
  • MyOpenMath Question 100564

• ELE.C02 I can solve exponential equations using logarithms or natural logarithms.

  Sample Problems

  • MyOpenMath Question 374702
  • MyOpenMath Question 1563

• ELE.C03 I can solve equations involving (e^x) and (x).

  Sample Problems

  • MyOpenMath Question 1546294
  • MyOpenMath Question 100755

• ELE.C04 I can solve logarithmic equations and check for extraneous solutions.

  Sample Problems

  • MyOpenMath Question 100545
  • MyOpenMath Question 14407

• ELE.A01 I can solve applied problems involving exponential or logarithmic equations and interpret results.

  Sample Problems

  • MyOpenMath Question 15919
  • MyOpenMath Question 51673

• ELE.A02 I can choose among common bases, logarithms, natural logarithms, and domain restrictions to solve exponential or logarithmic equations.

  Sample Problems

  • MyOpenMath Question 393168
  • MyOpenMath Question 393170