# Welcome to the GrossiMath STAAR Generator

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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.

xy
-20-268
-14-196
-8-124
-1-40

Which equation represents the same relationship?

##### 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 = 12 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.

Projectile Height
Time
(seconds)
Height
(meters)
51,353
102,460
153,323
203,940
254,313
304,440
354,323

Based on the table, which function can best be used to model this situation?

### 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 nth term of the sequence, an?