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Course: Official SAT Practice Test 3 Review > Unit 1

Lesson 1: Test sections
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Official SAT Practice Test 3 Review
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Math - Part 1

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Math - Part 1

Question 1 | Linear relationship word problems

A bus is traveling at a constant speed a long a straight portion of road. The equation d=30t gives the distance d, in feet from a road marker, that the bus will be t seconds after passing the marker. How many feet from the marker will the bus be 2 seconds after passing the marker?
Choose 1 answer:

Question 2 | Graphs of linear equations and functions

A line in the xy-plane has a slope of 19 and passes through the point (0,14). Which equation represents this line?
Choose 1 answer:

Question 3 | Solving linear equations and inequalities

If x8=5, what is the value of 8x?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

Question 4 | Congruence, similarity, and angle relationships

Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 18°. What is the measure of angle F?
Choose 1 answer:

Question 5 | Operations with polynomials

Which expression is equivalent to (m4q4z−1)(mq5z3), where m, q, and z are positive?
Choose 1 answer:

Question 6 | Center, spread, and shape of distributions

Two box plots are shown above a horizontal axis labeled Mass (kilograms) that goes from 20 to 32. The box plot labeled Group 1 has a minimum of 21, Q1 of 22, median of 25, Q3 of 26, and maximum of 28. The box plot labeled Group 2 has a minimum of 22, Q1 of 23, median of 24, Q3 of 25, and maximum of 28.
The box plots summarize the masses, in kilograms, of two groups of gazelles. Based on the box plots, which of the following statements must be true?
Choose 1 answer:

Question 7 | Linear and quadratic systems

y=76y=x2−5
The graphs of the given equations in the xy-plane intersect at the point (x,y). What is a possible value of x?
Choose 1 answer:

Question 8 | Data inferences

To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on the sample, it is estimated that the proportion of the population that has the characteristic is 0.49, with an associated margin of error of 0.04. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that has the characteristic?
Choose 1 answer:

Question 9 | Graphs of linear systems and inequalities

y=2x+10y=2x−1
At how many points do the graphs of the given equations intersect in the xy-plane?
Choose 1 answer:

Question 10 | Graphs of linear equations and functions

In the xy-plane, the graph of the linear function f contains the points (0,2) and (8,34). Which equation defines f, where y=f(x)?
Choose 1 answer:

Question 11 | Ratios, rates, and proportions

If xy=4 and 24xny=4, what is the value of n?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

Question 12 | Linear relationship word problems

w(t)=300−4t
The function w models the volume of liquid, in milliliters, in a container t seconds after it begins draining from a hole at the bottom. According to the model, what is the predicted volume, in milliliters, draining from the container each second?
Choose 1 answer:

Question 13 | Linear and exponential growth

Each year, the value of an investment increases by 0.49% of its value the previous year. Which of the following functions best models how the value of the investment changes over time?
Choose 1 answer:

Question 14 | Solving systems of linear equations

24x+y=486x+y=72
The solution to the given system of equations is (x,y). What is the value of y?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

Question 15 | Quadratic graphs

y=x2−14x+22
The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

Question 16 | Graphs of linear equations and functions

The function h is defined by h(x)=4x+28. The graph of y=h(x) in the xy-plane has an x-intercept at (a,0) and a y-intercept at (0,b), where a and b are constants. What is the value of a+b?
Choose 1 answer:

Question 17 | Area and volume

Square A has side lengths that are 166 times the side lengths of square B. The area of square A is k times the area of square B. What is the value of k?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

Question 18 | Scatterplots

The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown.
A scatterplot and its line of best fit are graphed in the xy plane. The points form a tight cluster that trend downward. The line of best fit has a negative slope and passes through approximately (23.5, 10) and (34.8, 0).
At x=25.5, which of the following is closest to the y-value predicted by the line of best fit?
Choose 1 answer:

Question 19 | Unit circle trigonometry

The measure of angle R is 2π3 radians. The measure of angle T is 5π12 radians greater than the measure of angle R. What is the measure of angle T, in degrees?
Choose 1 answer:

Question 20 | Quadratic and exponential word problems

A scientist initially measures 12,000 bacteria in a growth medium. 4 hours later, the scientist measures 24,000 bacteria. Assuming exponential growth, the formula P=C(2)rt gives the number of bacteria in the growth medium, where r and C are constants and P is the number of bacteria t hours after the initial measurement. What is the value of r?
Choose 1 answer:

Question 21 | Radical, rational, and absolute value equations

(x−2)2=3x+34
What is the smallest solution to the given equation?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

Question 22 | Solving quadratic equations

x−29=(x−a)(x−29)
Which of the following are solutions to the given equation, where a is a constant and a>30?
I. a
II. a+1
III. 29
Choose 1 answer:

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