SAT Pastpaper with Solutions | Global Test Academy Practice Test

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Chapter 110 · 2023.06 : B · MODULE3

The table summarizes the UV index value recorded by a research assistant at noon each day for 49 days.

According to the table, a UV index value of 1 was recorded on how many days?

A4B9C40D49

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Chapter 110 · 2023.06 : B · MODULE3

To make a bookcase, a woodworker charged a onetime fee plus $17 per hour worked. The equation 17h + 45 = 164 represents this situation, where h is the number of hours worked. Which of the following is the best interpretation of 164 in this context?

AThe onetime fee, in dollarsBThe number of hours workedCThe charge per hour, in dollarsD

The total charge, in dollars

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Chapter 110 · 2023.06 : B · MODULE3

In December 2017, the lowest temperature recorded in a certain city was 40 degrees Fahrenheit (°F) and the highest temperature recorded was 90°F. Which inequality is true for all values of t, where t represents any temperature, in °F, recorded in the city in December 2017?

A40<=t<=90Bt<=40Ct<=50Dt>=90

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Chapter 110 · 2023.06 : B · MODULE3

The function f is defined by f(x) = 6(2x +4). For what value of x does f(x) = 48 ?

A2B6
C8D22

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Chapter 110 · 2023.06 : B · MODULE3

The ratio of green tiles to blue tiles in a piece of artwork is 5 to 2 If there are 16 blue tiles in the piece of artwork, how many green tiles are there?

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Chapter 110 · 2023.06 : B · MODULE3

The scatterplot shows the relationship between two variables, x and y.

Which of the following equations is the most appropriate linear model for the data shown?

Ay=-6+28xBy=-6-28xCy=28+6xDy=28-6x

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Chapter 110 · 2023.06 : B · MODULE3

A scientist analyzed a soil sample with a mass of 900 grams and determined that it contained 189 grams of water. What is the percentage of water, by mass, in this soil sample?

A9%B9.9%C18.9%D21%

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Chapter 110 · 2023.06 : B · MODULE3

Line n is shown in the xy-plane. Line k (not shown) is perpendicular to line n. What is the slope of line k?

A-1/5B-1/6C5D6

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Chapter 110 · 2023.06 : B · MODULE3

mx +ky =-83

2x +ky =22

In the given system of equation, m and k are constants. The graphs of these equations in the xy-plane intersect at the point (5, y). What is the value of m?

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Chapter 110 · 2023.06 : B · MODULE3

For the linear function f, the graph of y = f(x) in the xy-plane passes through the point (0, 2) and (3, 3). What is the slope of y = f(x)?

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Chapter 110 · 2023.06 : B · MODULE3

A certain book has 250 pages, and 21 of these pages have an illustration. If one of the book's pages is selected at random, what is the probability of selecting a page with an illustration? (Express your answer as a decimal or fraction, not as a percent.)

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Chapter 110 · 2023.06 : B · MODULE3

${b}^{2}$ +5c=9d

The given equation relates the real numbers b, c, and d, where d> $\frac {5} {9}$ Which equation correctly express b in terms of c and d?

$b=\frac {9d+5c} {2}$

$b=\frac {9d-5c} {2}$

$b=\pm \sqrt {9d+5c}$

$b=\pm \sqrt {9d-5c}$

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Chapter 110 · 2023.06 : B · MODULE3

A right circular cylinder has a height of 4 meters (m) and a base with a radius of 18 m. What is the volume, in ${m}^{3}$ ,of the cylinder?

A4πB22πC288πD1296π

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Chapter 110 · 2023.06 : B · MODULE3

What is the y-intercept of the graph of 3x +2y =96 in the xy-plane?

A(0 5)B(0 6)C(0 32)D(0 48)

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Chapter 110 · 2023.06 : B · MODULE3

If $\frac {6} {7}p$ +12 =54, what is the value of 7p?

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Chapter 110 · 2023.06 : B · MODULE3

A certain neighborhood had a population of 1,340 in 2009. Each year for the next 5 years, the population of the neighborhood increased by approximately 3% of the population the previous year. Which of the following equations represents the population, N, of the neighborhood t years after 2009, where t ≤ 5?

A ${N=0.03(1.340)}^{t}$ B ${N=1.340(0.03)}^{t}$ C ${N=1340(1.03)}^{t}$ D ${N=1.03(1340)}^{t}$

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Chapter 110 · 2023.06 : B · MODULE3

In the xy-plane, which of the following does NOT contain any points (x, y) that are solutions to 7x+4y>12?

AThe region where x>0 and y>0BThe region where x<0 and y>0CThe region where x<0 and y<0DThe region where x>0 and y<0

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Chapter 110 · 2023.06 : B · MODULE3

In triangle RST the measure of angle R is 10 degrees andthe measure of angle T is 50 degrees. Point L lies on RS,point K lies on ST,and LK is parallel to RT What is themeasure, in degree, of angle SKL? (Disregard the degreesymbol when entering your answer.)

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Chapter 110 · 2023.06 : B · MODULE3

An auditorium has seats for 3,200 people. Tickets to attend a show at the auditorium currently cost $8.00. For each $1.00 increase to the ticket price, 100 fewer tickets will be sold. This situation can be modeled by the equation, y=-100x²+2400x + 25600 where x represents the increase in ticket price, in dollars, and y represents the revenue, in dollars, from ticket sales. If this equation is graphed in the xy-plane, at what value of x is the maximum of the graph?

A8B12C24D32

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Chapter 110 · 2023.06 : B · MODULE3

${(x+3)}^{2}\, +{(y-4)}^{2}\, =25$

In the xy-plane, the graph of the given equation is circle. Which point lies on this circle?

A(-3,4)B(3,-4)C

$(\sqrt {11}+3,\sqrt {14-4})$

$(\sqrt {11}-3,\sqrt {14}+4)$

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Chapter 110 · 2023.06 : B · MODULE3

The expression $\frac {{x}^{20}(x-4)} {{5x}^{2}}+\frac {4{x}^{20}} {{5x}^{2}}$ is equivalent to $\frac {1} {5}{x}^{c}$ , where c is a constant and x> 0. What is the value of c？

A4B5C19D21

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Chapter 110 · 2023.06 : B · MODULE3

Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D and angle C and F are right angles. The length of AB is 2.4 times the length of DE. If tan $A=\frac {21} {20}$ , what is the value of sinD?

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