Algebra I Standards Exam prep with
correct answers
A1:N-RN.B.3 - correct answersB. Use properties of rational and irrational numbers. 3. Explain why the
sum or product of two rational numbers is rational; that the sum of a rational number and an irrational
number is irrational; and that the product of a nonzero rational number and an irrational number is
irrational.
A1:N-Q.A.1 - correct answersA. Reason quantitatively and use units to solve problems. 1. Use units as a
way to understand problems and to guide the solution of multi-step problems; choose and interpret
units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
A1:N-Q.A.2 - correct answersA. Reason quantitatively and use units to solve problems. 2. Define
appropriate quantities for the purpose of descriptive modeling.
A1:N-Q.A.3 - correct answersA. Reason quantitatively and use units to solve problems. 3. Choose a level
of accuracy appropriate to limitations on measurement when reporting quantities.
A1:A-SSE.A.1a - correct answersA. Interpret the structure of expressions. 1. Interpret expressions that
represent a quantity in terms of its context. ★ a. Interpret parts of an expression, such as terms, factors,
and coefficients.
A1:A-SSE.A.1b - correct answersA. Interpret the structure of expressions. 1. Interpret expressions that
represent a quantity in terms of its context. ★ b. Interpret complicated expressions by viewing one or
more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not
depending on P.
A1:A-SSE.A.2 - correct answersA. Interpret the structure of expressions. 2. Use the structure of an
expression to identify ways to rewrite it.
A1:A-SSE.B.3a - correct answersB. Write expressions in equivalent forms to solve problems. 3. Choose
and produce an equivalent form of an expression to reveal and explain properties of the quantity
represented by the expression. ★ a. Factor a quadratic expression to reveal the zeros of the function it
defines.
A1:A-SSE.B.3b - correct answersB. Write expressions in equivalent forms to solve problems. 3. Choose
and produce an equivalent form of an expression to reveal and explain properties of the quantity
represented by the expression. ★ b. Complete the square in a quadratic expression to reveal the
maximum or minimum value of the function it defines.
A1:A-SSE.B.3c - correct answersB. Write expressions in equivalent forms to solve problems. 3. Choose
and produce an equivalent form of an expression to reveal and explain properties of the quantity
represented by the expression. ★ c. Use the properties of exponents to transform expressions for
exponential functions emphasizing integer exponents.
, A1: A-APR.A.1 - correct answersA. Perform arithmetic operations on polynomials. 1. Understand that
polynomials form a system analogous to the integers, namely, they are closed under the operations of
addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
A1: A-APR.B.3 - correct answersB. Understand the relationship between zeros and factors of
polynomials. 3. Identify zeros of quadratic functions, and use the zeros to sketch a graph of the function
defined by the polynomial.
A1: A-CED.A.1 - correct answersA. Create equations that describe numbers or relationships. 1. Create
equations and inequalities in one variable and use them to solve problems. Include equations arising
from linear, quadratic, and exponential functions.
A1: A-CED.A.2 - correct answersA. Create equations that describe numbers or relationships.2. Create
equations in two or more variables to represent relationships between quantities; graph equations on
coordinate axes with labels and scales.
A1: A-CED.A.3 - correct answersA. Create equations that describe numbers or relationships. 3. Represent
constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret
solutions as viable or nonviable options in a modeling context. For example, represent inequalities
describing nutritional and cost constraints on combinations of different foods.
A1: A-CED.A.4 - correct answersA. Create equations that describe numbers or relationships. 4.
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
For example, rearrange Ohm's lawV = IR to highlight resistance R.
A1: A-REI.A.1 - correct answersA. Understand solving equations as a process of reasoning and explain
the reasoning. 1. Explain each step in solving a simple equation as following from the equality of
numbers asserted at the previous step, starting from the assumption that the original equation has a
solution. Construct a viable argument to justify a solution method.
A1: A-REI.B.3 - correct answersB. Solve equations and inequalities in one variable. 3. Solve linear
equations and inequalities in one variable, including equations with coefficients represented by letters.
A1: A-REI.B.4a - correct answersB. Solve equations and inequalities in one variable. 4. Solve quadratic
equations in one variable. a. Use the method of completing the square to transform any quadratic
equation in x into an equation of the form (x - p) squared = q that has the same solutions. Derive the
quadratic formula from this form.
A1: A-REI.B.4b - correct answersB. Solve equations and inequalities in one variable. 4. Solve quadratic
equations in one variable.b. Solve quadratic equations by inspection (e.g., for x 2 = 49), taking square
roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of
the equation. Recognize when the quadratic formula gives complex solutions and write them as "no real
solution."
A1: A-REI.C.5 - correct answersC. Solve systems of equations. 5. Prove that, given a system of two
equations in two variables, replacing one equation by the sum of that equation and a multiple of the
other produces a system with the same solutions.
correct answers
A1:N-RN.B.3 - correct answersB. Use properties of rational and irrational numbers. 3. Explain why the
sum or product of two rational numbers is rational; that the sum of a rational number and an irrational
number is irrational; and that the product of a nonzero rational number and an irrational number is
irrational.
A1:N-Q.A.1 - correct answersA. Reason quantitatively and use units to solve problems. 1. Use units as a
way to understand problems and to guide the solution of multi-step problems; choose and interpret
units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
A1:N-Q.A.2 - correct answersA. Reason quantitatively and use units to solve problems. 2. Define
appropriate quantities for the purpose of descriptive modeling.
A1:N-Q.A.3 - correct answersA. Reason quantitatively and use units to solve problems. 3. Choose a level
of accuracy appropriate to limitations on measurement when reporting quantities.
A1:A-SSE.A.1a - correct answersA. Interpret the structure of expressions. 1. Interpret expressions that
represent a quantity in terms of its context. ★ a. Interpret parts of an expression, such as terms, factors,
and coefficients.
A1:A-SSE.A.1b - correct answersA. Interpret the structure of expressions. 1. Interpret expressions that
represent a quantity in terms of its context. ★ b. Interpret complicated expressions by viewing one or
more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not
depending on P.
A1:A-SSE.A.2 - correct answersA. Interpret the structure of expressions. 2. Use the structure of an
expression to identify ways to rewrite it.
A1:A-SSE.B.3a - correct answersB. Write expressions in equivalent forms to solve problems. 3. Choose
and produce an equivalent form of an expression to reveal and explain properties of the quantity
represented by the expression. ★ a. Factor a quadratic expression to reveal the zeros of the function it
defines.
A1:A-SSE.B.3b - correct answersB. Write expressions in equivalent forms to solve problems. 3. Choose
and produce an equivalent form of an expression to reveal and explain properties of the quantity
represented by the expression. ★ b. Complete the square in a quadratic expression to reveal the
maximum or minimum value of the function it defines.
A1:A-SSE.B.3c - correct answersB. Write expressions in equivalent forms to solve problems. 3. Choose
and produce an equivalent form of an expression to reveal and explain properties of the quantity
represented by the expression. ★ c. Use the properties of exponents to transform expressions for
exponential functions emphasizing integer exponents.
, A1: A-APR.A.1 - correct answersA. Perform arithmetic operations on polynomials. 1. Understand that
polynomials form a system analogous to the integers, namely, they are closed under the operations of
addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
A1: A-APR.B.3 - correct answersB. Understand the relationship between zeros and factors of
polynomials. 3. Identify zeros of quadratic functions, and use the zeros to sketch a graph of the function
defined by the polynomial.
A1: A-CED.A.1 - correct answersA. Create equations that describe numbers or relationships. 1. Create
equations and inequalities in one variable and use them to solve problems. Include equations arising
from linear, quadratic, and exponential functions.
A1: A-CED.A.2 - correct answersA. Create equations that describe numbers or relationships.2. Create
equations in two or more variables to represent relationships between quantities; graph equations on
coordinate axes with labels and scales.
A1: A-CED.A.3 - correct answersA. Create equations that describe numbers or relationships. 3. Represent
constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret
solutions as viable or nonviable options in a modeling context. For example, represent inequalities
describing nutritional and cost constraints on combinations of different foods.
A1: A-CED.A.4 - correct answersA. Create equations that describe numbers or relationships. 4.
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
For example, rearrange Ohm's lawV = IR to highlight resistance R.
A1: A-REI.A.1 - correct answersA. Understand solving equations as a process of reasoning and explain
the reasoning. 1. Explain each step in solving a simple equation as following from the equality of
numbers asserted at the previous step, starting from the assumption that the original equation has a
solution. Construct a viable argument to justify a solution method.
A1: A-REI.B.3 - correct answersB. Solve equations and inequalities in one variable. 3. Solve linear
equations and inequalities in one variable, including equations with coefficients represented by letters.
A1: A-REI.B.4a - correct answersB. Solve equations and inequalities in one variable. 4. Solve quadratic
equations in one variable. a. Use the method of completing the square to transform any quadratic
equation in x into an equation of the form (x - p) squared = q that has the same solutions. Derive the
quadratic formula from this form.
A1: A-REI.B.4b - correct answersB. Solve equations and inequalities in one variable. 4. Solve quadratic
equations in one variable.b. Solve quadratic equations by inspection (e.g., for x 2 = 49), taking square
roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of
the equation. Recognize when the quadratic formula gives complex solutions and write them as "no real
solution."
A1: A-REI.C.5 - correct answersC. Solve systems of equations. 5. Prove that, given a system of two
equations in two variables, replacing one equation by the sum of that equation and a multiple of the
other produces a system with the same solutions.
