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A.2

A.2(A) readiness - determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities

2017 Q5 - A.2(A)
A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weights 20 lbs. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4. What is the range of the function for this situation?

A.2(B) supporting - write linear equations in two variables in various forms, including y=mx+b, Ax+By=C, and y–y1 =m(x–x1), given one point and the slope and given two points

2017 Q23 - A.2(B)
What is the equation in slope-intercept form of the line that passes through the points (-4, 47) and (2, -16)?

A.2(C) readiness - write linear equations in two variables given a table of values, a graph, and a verbal description

2017 Q50 - A.2(C)
The table represents some points on the graph of a linear function.

A.2(D) supporting - write and solve equations involving direct variation

2018 Q10, 2017 Q27 - LS/DS
The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?

A.2(G) supporting - write an equation of a line that is parallel or perpendicular to the x- or y-axis and determine whether the slope of the line is zero or undefined

2017 Q36 - A.2(G)
What is the equation of the line that passes through the point (-2, 7) and has a slope of zero?

A.3

A.3(A) supporting - determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y=mx+b, Ax+By=C, and y–y1=m(x–x1)

2017 Q16 - A.3(A)
What is the slope of the line represented by 5x - 12y = 24

A.3(B) readiness - calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems

2017 Q52 - A.3(B)
The function y = 3.75 + 1.5(x - 1) can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles?

A.3(C) readiness - graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems

2017 Q12 - A.3(C)
A lifeguard earns $320 per week for working 40 hours plus $12 per hour worked over 40 hours. A lifeguard can work a maximum of 60 hours per week. Which graph best represents the lifeguard’s weekly earnings in dollars for working h hours over 40?

A.3(D) readiness - graph the solution set of linear inequalities in two variables on the coordinate plane

2017 Q3 - A.3(D)
Which graph best represents the solution set of y ≤ 4x?

A.3(E) supporting - determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values of a, b, c, and d

2017 Q45 - A.3(E)
A student graphed f(x) = x and g(x) = f(x) + 3 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

A.3(F) supporting - graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist

2018 Q3 - A.3(F)
Which graph best represents a system of equations that has no solution?

A.5

A.5(A) readiness - solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides

2018 Q8 - GRT
What value of n makes the equation 4 (0.5n - 3) = n - 0.25 (12 - 8n) true?

2017 Q11 - A.5(A)
What is the solution to 8x - 3(2x - 4) = 3(x - 6)?

2017 Q40 - A.5(A)
Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x - 2) true?

A.5(C) readiness - solve systems of two linear equations with two variables for mathematical and real-world problems

2017 Q54 - A.5(C)
What is the value of x in the solution to this system of equations?
y + 2x = -1
y = ¹⁄₂ x + 4

A.6

A.6(C) supporting - write quadratic functions when given real solutions and graphs of their related equations

2018 Q7 - A.6(C)
The graph shows the height in feet of an object above the ground h seconds after it was launched from the ground. Which function is best represented by the graph of this situation?

2017 Q10 - A.6(C)
The graph of a quadratic function is shown on the grid. Which function is best represented by this graph?

A.7

A.7(C) readiness - determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values of a, b, c, and d

2017 Q4 - A.7(C)
The graph of f(x) = x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes this transformation?

A.8

A.8(A) readiness - solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula

2017 Q7 - A.8(A)
The total number of seats in an auditorium is modeled by f(x) = 2x² - 6x, where x represents the number of rows of seats. How many rows are there in the auditorium if it has a total of 416 seats?

A.8(B) supporting - write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems

2017 Q39 - A.8(B)
A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times.

A.9

A.9(D) readiness - graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems

2018 Q4 - A.9(D)
Which statement about the graph of y = 8(0.25)^x is true?

2017 Q8 - A.9(D)
The graph of an exponential function is shown on the grid. Which dashed line is an asymptote for the graph?

2017 Q49 - A.9(D)
Which statement about the graph of y = (1/3)(1/2)^x is true?

A.10

A.10(D) supporting - rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property

2018 Q2 - A.10(D)
Which expression is equivalent to − 28x² + 35x?

A.10(E) readiness - factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two

2017 Q17 - A.10(E)
Which expression is equivalent to 6x² + 13x + 5 ?

2018 Q11, 2017 Q28 - A.10(E)
Which expression is equivalent to m² - 13m - 30 ?

2017 Q41 - A.10(E)
Which expression is a factor of to 18x² - 15x + 2 ?

A.11

A.11(A) supporting - simplify numerical radical expressions involving square roots

2017 Q1 - A.11(A)
Which expression is equivalent to √147 ?

A.11(B) readiness - simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents

2018 Q6 - A.11(B)
Which expression is equivalent to (144k²r¹⁴)^1/2 for all positive values of k and r?

2017 Q6 - A.11(B)
The area of a rectangle is 54x⁹y⁸ square yards. If the length of the rectangle is 6x³y⁴ yards, which expression represents the width of the rectangle in yards?

2017 Q20 - A.11(B)
The expression (x³)(x^-17) is equivalent to xⁿ. What is the value of n?

A.12

A.12(B) supporting - evaluate functions, expressed in function notation, given one or more elements in their domains

2017 Q47 - A.12(B)
If p(x) = 5(x² + 1) + 16, what is the value of p(11)?

A.12(D) supporting - write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms

2018 Q9 - GRT
In a sequence of numbers, a₃ = 0, a₄ = 6, a₅ = 12, a₆ = 18, a₇ = 24. Based on this information, which equation can be used to find the n^th term of the sequence, a_n?