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SAT 2023 May QAS - Math
22 Questions
Question 1 of 22
SAT 2023 May QAS - Math 0/22
Question 1 of 22   |  Problem Solving - Graph Reading  · Level 1
The graph shown represents the possible combinations of 3-credit and 4-credit classes a student can enroll in to complete an associate's degree program. Based on the graph, if a student enrolls in eight 3-credit classes, how many 4-credit classes will the student need to enroll in to complete this program?
Question image
A
3
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B
8
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C
9
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D
16
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Question 2 of 22   |  Linear Functions  · Level 1
The graph of the linear function \(f\) is shown. Which equation defines \(f\)?
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A
\(f(x) = x + 1\)
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B
\(f(x) = x - 1\)
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C
\(f(x) = -x + 1\)
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D
\(f(x) = -x - 1\)
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Question 3 of 22   |  Polynomial Functions  · Level 2
The graph of the polynomial function \(f\), where \(y = f(x)\), has \(x\)-intercepts of \((-6, 0)\) and \((6, 0)\). Which of the following must be true?
A
\(f(-6) = 0\)
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B
\(f(6) = -6\)
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C
\(f(-6) = 6\)
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D
\(f(0) = -6\)
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Question 4 of 22   |  Systems of Equations  · Level 2
\(y = 4x + 6\) \(-5x - y = 21\) What is the solution \((x, y)\) to the given system of equations?
A
\((-3, -6)\)
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B
\(\left(- \dfrac{5}{3}, - \dfrac{2}{3}\right)\)
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C
\((3, 18)\)
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D
\((15, 66)\)
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Question 5 of 22   |  Absolute Value Equations  · Level 1
\(|x - 10| = 0\) What are all the possible solutions to the given equation?
A
\(-10\)
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B
\(0\)
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C
\(10\)
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D
\(-10\) and \(10\)
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Question 6 of 22   |  Algebraic Manipulation  · Level 3
\(q = s(r - 1)^2\) The given equation relates the positive numbers \(q\), \(r\), and \(s\). Which equation gives \(r\) in terms of \(q\) and \(s\), when \(r > 1\)?
A
\(r = 1 + \sqrt{\dfrac{q}{s}}\)
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B
\(r = 1 + \dfrac{\sqrt{q}}{s}\)
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C
\(r = -1 - \sqrt{\dfrac{q}{s}}\)
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D
\(r = -1 - \dfrac{\sqrt{q}}{s}\)
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Question 7 of 22   |  Linear Functions  · Level 2
In the relationship between variables \(x\) and \(y\), each increase of 1 in the value of \(x\) decreases the value of \(y\) by 2. When \(x = 0\), \(y = 5\). Which equation represents this relationship?
A
\(y = -\dfrac{1}{2} x + 5\)
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B
\(y = -\dfrac{1}{2} x - 5\)
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C
\(y = -2x - 5\)
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D
\(y = -2x + 5\)
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Question 8 of 22   |  Quadratic Functions - Parabola  · Level 3
An architect is asked to construct an opening in a wall in the shape of a parabola. The blueprint of the architect's design is shown. The formula \(y = \dfrac{-x(x - 8)}{k}\), where \(k\) is a constant, can be used to determine the height \(y\), in feet, of the opening at a horizontal distance of \(x\) feet from the left side of the opening. Based on the architect's blueprint, what is the value of \(k\)?
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A
4
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B
2
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C
\(\dfrac{1}{2}\)
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D
\(\dfrac{1}{4}\)
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Question 9 of 22   |  Geometry - Triangles  · Level 2
An isosceles right triangle has a hypotenuse of length 4 inches. What is the perimeter, in inches, of this triangle?
A
\(2 \sqrt{2}\)
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B
\(4 \sqrt{2}\)
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C
\(4 + 4 \sqrt{2}\)
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D
\(4 + 8 \sqrt{2}\)
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Question 10 of 22   |  Linear Equations - Number of Solutions  · Level 2
How many solutions does the equation \(4(x - 2) = -2(x + 4)\) have?
A
Zero
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B
Exactly one
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C
Exactly two
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D
Infinitely many
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Question 11 of 22   |  Geometry - Circle and Tangent  · Level 3
Line \(k\) is tangent to the circle with center \(C\) at point \(A\), as shown. The center is at \((-5, -4)\) and point \(A\) is at \((-7, -5)\). What is the slope of line \(k\)?
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A
\(-2\)
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B
\(-\dfrac{1}{2}\)
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C
\(\dfrac{1}{2}\)
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D
\(2\)
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Question 12 of 22   |  Exponential Functions  · Level 3
\(R(t) = 1830 - 790(2.71)^{-0.18 t}\) The function \(R\) gives the predicted average rating, expressed as a number of points, in the German chess federation database for a player based on the number of years, \(t\), the player has participated in professional chess tournaments. Which of the following represents the predicted average rating of a player who has just entered their first professional chess tournament?
A
\(R(-0.18)\)
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B
\(R(0)\)
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C
\(R(790)\)
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D
\(R(1830)\)
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Question 13 of 22   |  Exponential Decay  · Level 2
Alice took 60 minutes to complete a task on her first trial. The time it took Alice to complete the task decreased by 10% of the previous time for each additional trial. Approximately how many minutes will it take Alice to complete the task on her fifth trial?
A
50
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B
42
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C
39
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D
35
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Question 14 of 22   |  Systems of Inequalities  · Level 3
\(y < \dfrac{2}{5} x + 3\) \(y > \dfrac{1}{2} x - 6\) In which of the following tables are all the values of \(x\) and their corresponding values of \(y\) solutions to the system of inequalities shown?
A
\(x\): \(-2, 0, 4\); \(y\): \(-8, -4, 4\)
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B
\(x\): \(-2, 0, 4\); \(y\): \(-8, 4, 4\)
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C
\(x\): \(-2, 0, 4\); \(y\): \(3, 2, -3\)
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D
\(x\): \(-2, 0, 4\); \(y\): \(2, -3, 3\)
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Question 15 of 22   |  Radicals and Exponents  · Level 4
Which of the following is equivalent to \((\sqrt{32})(\sqrt[5]{64})\)?
A
\(6(\sqrt[7]{2^5})\)
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B
\(6(\sqrt[10]{2^7})\)
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C
\(8(\sqrt[7]{2^5})\)
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D
\(8(\sqrt[10]{2^7})\)
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Question 16 of 22   |  Slope from Graph  · Level 2
Line \(k\) is shown in the \(x y\)-plane. Line \(j\) (not shown) is parallel to line \(k\). What is the slope of line \(j\)?
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Question 17 of 22   |  Exponent Rules  · Level 3
The expression \(\dfrac{32 x^6}{4 x^3}\) is equivalent to \(c x^d\), where \(c\) and \(d\) are constants and \(x > 0\). What is the value of \(c + d\)?
Question 18 of 22   |  Linear Equations  · Level 2
\(2.1(h + 3) = 3h + 2.1\) What value of \(h\) is the solution to the given equation?
Question 19 of 22   |  Geometry - Volume  · Level 3
A cylinder and a sphere both have the same radius \(r\), where \(r > 0\). The cylinder has a height of 16. The volume of the sphere is half the volume of the cylinder. What is the value of \(r\)?
Question 20 of 22   |  Quadratic Equations  · Level 4
\(x^2 + b x + c = 0\) In the given equation, \(b\) and \(c\) are constants. If \(-b + \sqrt{b^2 - 4c} = 18\) and \(-b - \sqrt{b^2 - 4c} = 10\), what is one possible value of \(x\)?
Question 21 of 22   |  Scatterplot and Line of Best Fit  · Level 1
Eight data points are shown in the scatterplot. A line of best fit for the data is also shown. Which of the following is closest to the \(y\)-value predicted by the line of best fit for an \(x\)-value of 3,700?
Question image
A
40
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B
33
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C
20
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D
14
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Question 22 of 22   |  Unit Conversion  · Level 1
An object has a mass of 3,300 milligrams. What is the mass of the object in grams? (1 gram = 1,000 milligrams)
A
0.33
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B
3.30
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C
33.00
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D
330.00
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Reference Sheet

Area & Circumference

Circle$A = \pi r^2$,  $C = 2\pi r$
Rectangle$A = lw$
Triangle$A = \tfrac{1}{2}bh$
Trapezoid$A = \tfrac{1}{2}(b_1+b_2)h$

Volume

Box$V = lwh$
Cylinder$V = \pi r^2 h$
Sphere$V = \tfrac{4}{3}\pi r^3$
Cone$V = \tfrac{1}{3}\pi r^2 h$
Pyramid$V = \tfrac{1}{3}lwh$

Triangles

Pythagorean Thm$a^2 + b^2 = c^2$
30-60-90sides: $1,\, \sqrt{3},\, 2$
45-45-90sides: $1,\, 1,\, \sqrt{2}$
Triangle Anglessum $= 180°$

Other Facts

Circle Degrees$360° = 2\pi \text{ rad}$
Exterior Angle= sum of non-adjacent interior angles

The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is $2\pi$.

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