A | B | C | D | E | F | G | H | I | K | M | O | Q | S | U | W | Y | AA | AC | AE | AG | AI | AK | AM | ||
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1 | HEART OF ALGEBRA: LINEAR EQUATIONS AND FUNCTIONS | Color Key | Standard | Standard | Standard | October 2019 PSAT/NMSQT Questions | October 2019 PSAT/NMSQT Answer Key | Fall 2019 PSAT 8/9 Form E Questions | Fall 2019 PSAT 8/9 Form E Answer Key | 2019 PSAT/NMSQT Form H Questions | 2019 PSAT/NMSQT Form H Answer Key | 2018 PSAT/NMSQT Form A Questions | 2018 PSAT/NMSQT Form A Answer Key | 2018 PSAT/NMSQT Form G Questions | 2018 PSAT/NMSQT Form G Answer Key | 2017 PSAT/NMSQT Form D | 2017 PSAT/NMSQT Form D Answer Key | 2019 Spring Form H PSAT 8/9 | 2019 Spring Form H PSAT 8/9 Answer Key | 2019 Spring Form F PSAT 8/9 | 2019 Spring Form F PSAT 8/9 Answer Key | ||||

2 | In both the SAT & PSAT 10, but not PSAT 8/9 or slightly different as noted in red font | SAT Only | Exactly the same in all three Assessments | ||||||||||||||||||||||

3 | Content Dimension | SAT Description | PSAT/NMSQT and PSAT 10 Description | PSAT 8/9 Description | |||||||||||||||||||||

4 | Linear equations in one variable | 1. Create and use linear equations in one variable to solve problems in a variety of contexts. | 1. Create and use linear equations in one variable to solve problems in a variety of contexts. | 1. Create and use linear equations in one variable to solve problems in a variety of contexts. | A.CED.A.1 | 7.EE.B.4 | Q3 Calc | Q3 Soln | Q17 No Calc | Q17 Soln | Q14 No Calc | Q14 Soln | Q3 Calc | Q3 Soln | |||||||||||

5 | 2. Create a linear equation in one variable, and when in context interpret solutions in terms of the context. | 2. Create a linear equation in one variable, and when in context interpret solutions in terms of the context. | 2. Create a linear equation in one variable, and when in context interpret solutions in terms of the context. | 7.EE.B.4.A | 6.EE.B.7 | Q1 No Calc | Q1 Soln | Q28 Calc | Q28 Soln | Q1 No Calc | Q1 Soln | ||||||||||||||

6 | 3. Solve a linear equation in one variable, making strategic use of algebraic structure. | 3. Solve a linear equation in one variable, making strategic use of algebraic structure. | 3. Solve a linear equation in one variable, making strategic use of algebraic structure. | A.REI.B.3 | 8.EE.C.7.B | A.SSE.A.2 | Q16 Calc | Q16 Soln | Q7 Calc | Q7 Soln | Q15 Calc | Q15 Soln | Q15 No Calc | Q15 Soln | Q28 Calc | Q28 Soln | Q22 Calc | Q22 Soln | |||||||

7 | Q5 (No Calc) | Q5 Soln | Q16 Calc | Q16 Soln | |||||||||||||||||||||

8 | 4. For a linear equation in one variable, | 4. For a linear equation in one variable, | 4/4a. For a linear equation in one variable, interpret a constant, variable, factor, or term in a context. | ||||||||||||||||||||||

9 | a. interpret a constant, variable, factor, or term in a context; | a. interpret a constant, variable, factor, or term in a context; | Q15 No Calc | Q15 Soln | |||||||||||||||||||||

10 | b. determine the conditions under which the equation has no solution, a unique solution, or infinitely many solutions. | b. determine the conditions under which the equation has no solution, a unique solution, or infinitely many solutions. | 8.EE.C.7.A | Q29 Calc | Q29 Soln | Q9 No Calc | Q9 Soln | Q27 Calc | Q27 Soln | Q17 Calc | Q17 Soln | Q23 Calc | Q23 Soln | ||||||||||||

11 | Q14 No Calc | Q14 Soln | |||||||||||||||||||||||

12 | 5. Fluently solve a linear equation in one variable. | 5. Fluently solve a linear equation in one variable. | 5. Fluently solve a linear equation in one variable. | 8.EE.C.7.B | 7.EE.B.4.A | Q15 (No Calc) | Q15 Soln | Q12 No Calc | Q12 Soln | Q1 No Calc | Q1 Soln | Q7 No Calc | Q7 Soln | Q3 Calc | Q3 Soln | Q1 No Calc | Q1 Soln | Q2 No Calc | Q2 Soln | ||||||

13 | Q3 Calc | Q3 Soln | Q1 No Calc | Q1 Soln | Q11 No Calc | Q11 Soln | |||||||||||||||||||

14 | Linear functions | Algebraically, a linear function can be defined by a linear expression in one variable or by a linear equation in two variables. In the first case, the variable is the input and the value of the expression is the output. In the second case, one of the variables is designated as the input and determines a unique value of the other variable, which is the output. | Algebraically, a linear function can be defined by a linear expression in one variable or by a linear equation in two variables. In the first case, the variable is the input and the value of the expression is the output. In the second case, one of the variables is designated as the input and determines a unique value of the other variable, which is the output. | Algebraically, a linear function can be defined by a linear expression in one variable or by a linear equation in two variables. In the first case, the variable is the input and the value of the expression is the output. In the second case, one of the variables is designated as the input and determines a unique value of the other variable, which is the output. | |||||||||||||||||||||

15 | 1. Create and use linear functions to solve problems in a variety of contexts. | 1. Create and use linear functions to solve problems in a variety of contexts. | 1. Create and use linear functions to solve problems in a variety of contexts. | F-BF.A.1 | 8.SP.A.3 | F-IF.A.2 | Q14 Calc | Q14 Soln | Q19 Calc | Q19 Soln | |||||||||||||||

16 | 2. Create a linear function to model a relationship between two quantities. | 2. Create a linear function to model a relationship between two quantities. | 2. Create a linear function to model a relationship between two quantities. | 8.F.B.4 | 8.F.B.5 | Q14 Calc | Q14 Soln | Q9 No Calc | Q9 Soln | Q4 No Calc | Q4 Soln | Q4 Calc | Q4 Soln | ||||||||||||

17 | Q13 No Calc | Q13 Soln | |||||||||||||||||||||||

18 | 3. For a linear function that represents a context, | 3. For a linear function that represents a context, | 3. For a linear function that represents a context, | ||||||||||||||||||||||

19 | a. interpret the meaning of an input/output pair, constant, variable, factor, or term based on the context, including situations where seeing structure provides an advantage; | a. interpret the meaning of an input/output pair, constant, variable, factor, or term based on the context, including situations where seeing structure provides an advantage; | a. interpret the meaning of an input/output pair, constant, variable, factor, or term based on the context, including situations where seeing structure provides an advantage; | A.SSE.A.1.A | F.LE.B.5 | F.IF.B.4 | Q12 Calc | Q12 Soln | Q14 Calc | Q14 Soln | Q4 No Calc | Q4 Soln | Q18 Calc | Q18 Soln | |||||||||||

20 | b. given an input value, find and/or interpret the output value using the given representation; | b. given an input value, find and/or interpret the output value using the given representation; | b. given an input value, find and/or interpret the output value using the given representation; | 8.F.A.1 | F.IF.A.2 | Q14 (No Calc) | Q14 Soln | Q3 No Calc | Q3 Soln | Q3 No Calc | Q3 Soln | Q3 No Calc | Q3 Soln | Q11 No Calc | Q11 Soln | ||||||||||

21 | c. given an output value, find and/or interpret the input value using the given representation, if it exists. | c. given an output value, find and/or interpret the input value using the given representation, if it exists. | c. given an output value, find and/or interpret the input value using the given representation, if it exists. | F.IF.A.2 | Q13 Calc | Q13 Soln | Q11 Calc | Q11 Soln | |||||||||||||||||

22 | 4. Make connections between verbal, tabular, algebraic, and graphical representations of a linear function by | 4. Make connections between verbal, tabular, algebraic, and graphical representations of a linear function by | 4. Make connections between verbal, tabular, algebraic, and graphical representations of a linear function by | ||||||||||||||||||||||

23 | a. deriving one representation from the other; | a. deriving one representation from the other; | a. deriving one representation from the other; | 8.F.A.2 | F.IF.C.9 | Q4 Calc | Q4 Soln | Q2 No Calc | Q2 Soln | ||||||||||||||||

24 | Q2 (No Calc) | Q2 Soln | |||||||||||||||||||||||

25 | b. identifying features of one representation given another representation; | b. identifying features of one representation given another representation; | b. identifying features of one representation given another representation; | 8.F.A.2 | F.IF.C.9 | ||||||||||||||||||||

26 | c. determining how a graph is affected by a change to its equation. | c. determining how a graph is affected by a change to its equation. | c. determining how a graph is affected by a change to its equation. | F.BF.B.3 | |||||||||||||||||||||

27 | 5. Write the rule for a linear function given two input/output pairs or one input/output pair and the rate of change. | 5. Write the rule for a linear function given two input/output pairs or one input/output pair and the rate of change. | 5. Write the rule for a linear function given two input/output pairs or one input/output pair and the rate of change. | F.LE.A.2 | Q14 No Calc | Q14 Soln | Q6 No Calc | Q6 Soln | |||||||||||||||||

28 | Linear equations in two variables | A linear equation in two variables can be used to represent a constraint or condition on two-variable quantities in situations where neither of the variables is regarded as an input or an output. A linear equation can also be used to represent a straight line in the coordinate plane. | A linear equation in two variables can be used to represent a constraint or condition on two-variable quantities in situations where neither of the variables is regarded as an input or an output. A linear equation can also be used to represent a straight line in the coordinate plane. | A linear equation in two variables can be used to represent a constraint or condition on two-variable quantities in situations where neither of the variables is regarded as an input or an output. A linear equation can also be used to represent a straight line in the coordinate plane. | |||||||||||||||||||||

29 | 1. Create and use a linear equation in two variables to solve problems in a variety of contexts. | 1. Create and use a linear equation in two variables to solve problems in a variety of contexts. | 1. Create and use a linear equation in two variables to solve problems in a variety of contexts. | A.CED.A.2 | 7.RP.A.2c | 8.EE.B.5 | Q21 Calc | Q21 Soln | Q2 No Calc | Q2 Soln | Q16 Calc | Q16 Soln | Q2 Calc | Q2 Soln | |||||||||||

30 | Q25 Calc | Q25 Soln | |||||||||||||||||||||||

31 | 2. Create a linear equation in two variables to model a constraint or condition on two quantities. | 2. Create a linear equation in two variables to model a constraint or condition on two quantities. | 2. Create a linear equation in two variables to model a constraint or condition on two quantities. | A.CED.A.2 | A.CED.A.3 | 8.EE.C.8.c | Q3 (No Calc) | Q3 Soln | Q4 No Calc | Q4 Soln | Q29 Calc | Q29 Soln | Q16 No Calc | Q16 Soln | Q16 No Calc | Q16 Soln | Q9 Calc | Q9 Soln | |||||||

32 | 3. For a linear equation in two variables that represents a context, | 3. For a linear equation in two variables that represents a context, | 3. For a linear equation in two variables that represents a context, | ||||||||||||||||||||||

33 | a. interpret a solution, constant, variable, factor, or term based on the context, including situations where seeing structure provides an advantage; | a. interpret a solution, constant, variable, factor, or term based on the context, including situations where seeing structure provides an advantage; | a. interpret a solution, constant, variable, factor, or term based on the context, including situations where seeing structure provides an advantage; | A.CED.A.3 | A.SSE.A.1 | S.ID.C.7 | Q1 (No Calc) | Q1 Soln | Q4 No Calc | Q4 Soln | Q15 Calc | Q15 Soln | Q5 No Calc | Q5 Soln | Q17 Calc | Q17 Soln | Q3 No Calc | Q3 Soln | |||||||

34 | Q4 Calc | Q4 Soln | Q10 No Calc | Q10 Soln | |||||||||||||||||||||

35 | b. given a value of one quantity in the relationship, find a value of the other, if it exists. | b. given a value of one quantity in the relationship, find a value of the other, if it exists. | b. given a value of one quantity in the relationship, find a value of the other, if it exists. | 8.SP.A.3 | Q23 Calc | Q23 Soln | Q17 No Calc | Q17 Soln | |||||||||||||||||

36 | Q 2 No Calc | Q2 Soln | |||||||||||||||||||||||

37 | 4. Make connections between tabular, algebraic, and graphical representations of a linear equation in two variables by | 4. Make connections between tabular, algebraic, and graphical representations of a linear equation in two variables by | 4. Make connections between tabular, algebraic, and graphical representations of a linear equation in two variables by | ||||||||||||||||||||||

38 | a. deriving one representation from the other; | a. deriving one representation from the other; | a. deriving one representation from the other; | 8.F.A.2 | F.IF.C.9 | Q9 Calc | Q9 Soln | Q23 Calc | Q23 Soln | Q8 No Calc | Q8 Soln | Q18 Calc | Q18 Soln | ||||||||||||

39 | b. identifying features of one representation given the other representation; | b. identifying features of one representation given the other representation; | b. identifying features of one representation given the other representation; | 8.F.B.4 | Q22 Calc | Q22 Soln | Q1 No Calc | Q1 Soln | Q6 No Calc | Q6 Soln | Q4 Calc | Q4 Soln | Q9 No Calc | Q9 Soln | |||||||||||

40 | c. determining how a graph is affected by a change to its equation. | c. determining how a graph is affected by a change to its equation. | c. determining how a graph is affected by a change to its equation. | F.BF.B.3 | |||||||||||||||||||||

41 | 5. Write an equation for a line given two points on the line, one point and the slope of the line, or one point and a parallel or perpendicular line. | 5. Write an equation for a line given two points on the line, one point and the slope of the line, or one point and a parallel or perpendicular line. | 5. Write an equation for a line given two points on the line, one point and the slope of the line, or one point and a parallel or perpendicular line. | G.GPE.B.5 | Q11 No Calc | Q11 Soln | Q26 Calc | Q26 Soln | Q16 Calc | Q16 Soln | Q27 Calc | Q27 Soln | Q23 Calc | Q23 Soln | Q6 No Calc | Q6 Soln | |||||||||

42 | Q24 Calc | Q24 Soln | Q5 No Calc | Q5 Soln | |||||||||||||||||||||

43 | Systems of two linear equations in two variables | 1. Create and use a system of two linear equations in two variables to solve problems in a variety of contexts. | 1. Create and use a system of two linear equations in two variables to solve problems in a variety of contexts. | 1. Create and use a system of two linear equations in two variables to solve problems in a variety of contexts. | A.REI.C.6 | 8.EE.C.8.B | Q16 No Calc | Q16 Soln | Q13 No Calc | Q13 Soln | |||||||||||||||

44 | 2. Create a system of linear equations in two variables, and when in context interpret solutions in terms of the context. | 2. Create a system of linear equations in two variables, and when in context interpret solutions in terms of the context. | 2. Create a system of linear equations in two variables, and when in context interpret solutions in terms of the context. | A.CED.A.3 | A.REI.C.6 | 8.EE.C.8.c | Q9 Calc | Q9 Soln | |||||||||||||||||

45 | 3. Make connections between tabular, algebraic, and graphical representations of the system by deriving one representation from the other. | 3. Make connections between tabular, algebraic, and graphical representations of the system by deriving one representation from the other. | 3. Make connections between tabular, algebraic, and graphical representations of the system by deriving one representation from the other. | Q8 No Calc | Q8 Soln | Q12 No Calc | Q12 Soln | ||||||||||||||||||

46 | 4. Solve a system of two linear equations in two variables, making strategic use of algebraic structure. | 4. Solve a system of two linear equations in two variables, making strategic use of algebraic structure. | 4. Solve a system of two linear equations in two variables, making strategic use of algebraic structure. | A-REI.C.5 | Q27 Calc | Q27 Soln | Q 10 Calc | Q10 Soln | Q22 Calc | Q22 Soln | Q4 No Calc | Q4 Soln | Q16 Calc | Q16 Soln | Q8 Calc | Q8 Soln | Q19 Calc | Q19 Soln | |||||||

47 | 5. For a system of linear equations in two variables, | 5. For a system of linear equations in two variables, | 5/5a. For a system of linear equations in two variables, interpret a solution, constant, variable, factor, or term based on the context, including situations where seeing structure provides an advantage. | Q9 No Calc | Q9 Soln | Q6 No Calc | Q6 Soln | Q18 Calc | Q18 Soln | Q20 Calc | Q20 Soln | ||||||||||||||

48 | A.CED.A.3 | A.SSE.A.1 | S.ID.C.7 | Q19 Calc | Q19 Soln | Q12 No Calc | Q12 Soln | Q22 Calc | Q22 Soln | ||||||||||||||||

49 | b. determine the conditions under which the system has no solution, a unique solution, or infinitely many solutions. | b. determine the conditions under which the system has no solution, a unique solution, or infinitely many solutions. | 8.EE.C.8.A | 8.EE.C.8.B | Q16 (No Calc) | Q16 Soln | Q25 Calc | Q25 Soln | Q11 Calc | Q11 Soln | |||||||||||||||

50 | 6. Fluently solve a system of linear equations in two variables. | 6. Fluently solve a system of linear equations in two variables. | 6. Fluently solve a system of linear equations in two variables. | 8.EE.C.8.B | A.REI.C.6 | Q7 No Calc | Q7 No Calc | Q3 No Calc | Q3 Soln | Q1 Calc | Q1 Soln | Q2 No Calc | Q2 Soln | Q7 No Calc | Q7 Soln | Q7 No Calc | Q7 Soln | ||||||||

51 | Linear inequal- ities in one or two variables | 1. Create and use linear inequalities in one or two variables to solve problems in a variety of contexts. | 1. Create and use linear inequalities in one or two variables to solve problems in a variety of contexts. | 1. Create and use linear inequalities in one or two variables to solve problems in a variety of contexts. | A.CED.A.1 | 6.EE.B | 7.EE.B | Q17 Calc | Q17 Soln | Q6 Calc | Q6 Soln | ||||||||||||||

52 | Q9 Calc | Q9 Soln | |||||||||||||||||||||||

53 | 2. Create linear inequalities in one or two variables, and when in context interpret the solutions in terms of the context. | 2. Create linear inequalities in one or two variables, and when in context interpret the solutions in terms of the context. | 2. Create linear inequalities in one or two variables, and when in context interpret the solutions in terms of the context. | A.CED.A.3 | A.REI.B.3 | Q15 Calc | Q15 Soln | Q23 Calc | Q23 Soln | Q4 Calc | Q4 Soln | ||||||||||||||

54 | 3. For linear inequalities in one or two variables, interpret a constant, variable, factor, or term, including situations where seeing structure provides an advantage. | 3. For linear inequalities in one or two variables, interpret a constant, variable, factor, or term, including situations where seeing structure provides an advantage. | 3. For linear inequalities in one or two variables, interpret a constant, variable, factor, or term, including situations where seeing structure provides an advantage. | 6.EE.B | |||||||||||||||||||||

55 | 4. Make connections between tabular, algebraic, and graphical representations of linear inequalities in one or two variables by deriving one from the other. | 4. Make connections between tabular, algebraic, and graphical representations of linear inequalities in one or two variables by deriving one from the other. | Q11 No Calc | Q11 Soln | |||||||||||||||||||||

56 | 5. Given a linear inequality or system of linear inequalities, interpret a point in the solution set. | 5. Given a linear inequality or system of linear inequalities, interpret a point in the solution set. | 4. Given a linear inequality, interpret a point in the solution set. (NOTE: No Systems of linear inequalities as in SAT & PSAT/NMSQT & PSAT 10) | A.REI.D.12 | A.CED.A.3 | Q24 Calc | Q24 Soln | ||||||||||||||||||

57 | Q4 (No Calc) | Q4 Soln |