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New SAT Math No Calculator Practice Test 6 (answer key)

New SAT Math (No Calculator) Practice Test 6 cung cấp bộ câu hỏi luyện thi bám sát cấu trúc phần Math No Calculator của kỳ thi SAT. Nội dung bao gồm đại số, hàm số, phương trình – bất phương trình, hình học và phân tích dữ liệu, giúp thí sinh rèn luyện khả năng tính toán thủ công, tăng tốc độ xử lý và cải thiện tư duy logic. Tài liệu phù hợp cho mọi học sinh đang ôn luyện SAT và muốn nâng cao điểm số phần Math một cách hiệu quả.

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Số câu hỏi: 1 câuSố mã đề: 1 đềThời gian: 1 giờ

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Câu 1: 1 điểm

A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?

A.  

30

B.  

20

C.  

19

D.  

18

Câu 2: 1 điểm

(x – 6)2 + (y + 5)2 = 16

In the xy-plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates (10, -5). If PQˉ\bar{PQ} is a diameter of the circle, what are the coordinates of point Q ?

A.  

(2, −5)

B.  

(6, −1)

C.  

(6, −5)

D.  

(6, −9)

Câu 3: 1 điểm

f(x) = x3 – 9x

g(x) = x2 – 2x – 3

Which of the following expressions is equivalent to f(x)g(x)\frac{f\left( x \right)}{g\left( x \right)} , for x > 3?

A.  

1x+1\frac{1}{x + 1}

B.  

x+3x+1\frac{x + 3}{x + 1}

C.  

x(x−3)x+1\frac{x \left( x - 3 \right)}{x + 1}

D.  

x(x+3)x+1\frac{x \left( x + 3 \right)}{x + 1}

Câu 4: 1 điểm

What is the solution set of the equation above?

2x+6+4=x+3\sqrt{2x + 6} + 4 = x + 3
A.  

{−1}

B.  

{5}

C.  

{−1, 5}

D.  

{0, −1, 5}

Câu 5: 1 điểm

y > 2x – 1

2x > 5

Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?

A.  

y > 6

B.  

y > 4

C.  

y > 5⁄2

D.  

y > 3⁄2

Câu 6: 1 điểm

The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of w ?

A.  

2w + 6

B.  

4w + 12

C.  

w2 + 6

D.  

w2 + 6 w

Câu 7: 1 điểm

Hình ảnh

In the figure above, RT = TU. What is the value of x ?

A.  

72

B.  

66

C.  

64

D.  

58

Câu 8: 1 điểm

The formula below is often used by project managers to compute E, the estimated time to complete a job, where O is the shortest completion time, P is the longest completion time, and M is the most likely completion time.

E=O+4M+P6E = \frac{O + 4M + P}{6}

Which of the following correctly gives P in terms of E, O, and M ?

A.  

P = 6E - O - 4M

B.  

P = -6E + O + 4M

C.  

P=O+4M+E6P = \frac{O + 4M + E}{6}

D.  

P=O+4M−E6P = \frac{O + 4M - E}{6}

Câu 9: 1 điểm

Hình ảnh

The graph above shows the distance traveled d, in feet, by a product on a conveyor belt m minutes after the product is placed on the belt. Which of the following equations correctly relates d and m ?

A.  

d = 2m

B.  

d = 1⁄2m

C.  

d = m + 2

D.  

d = 2m + 2

Câu 10: 1 điểm

3x + x + x + x − 3 − 2 = 7 + x + x

In the equation above, what is the value of x ?

A.  

-5⁄7

B.  

1

C.  

12⁄7

D.  

3

Câu 11: 1 điểm

Hình ảnh

In the circle above, point A is the center and the length of arc BC⌢\overset{\frown}{BC} is 2⁄5 of the circumference of the circle. What is the value of x ?

Câu 12: 1 điểm

A start-up company opened with 8 employees. The company’s growth plan assumes that 2 new employees will be hired each quarter (every 3 months) for the first 5 years. If an equation is written in the form y ax b = + to represent the number of employees, y, employed by the company x quarters after the company opened, what is the value of b ?

Câu 13: 1 điểm

− x + y = −3.5
x + 3y = 9.5

If (x,y) satisfies the system of equations above, what is the value of y ?

Câu 14: 1 điểm

The sum of −2x2 + x + 31 and 3x2 + 7x − 8 can be written in the form ax2 + bx + c, where a, b, and c are constants. What is the value of a + b + c ?

Câu 15: 1 điểm

x2 + x − 12 = 0

If a is a solution of the equation above and a > 0, what is the value of a ?

Câu 16: 1 điểm

g(x) = 2x −1
h(x) = 1 – g(x)

The functions g and h are defined above. What is the value of h(0)?

A.  

−2

B.  

zero

C.  

1

D.  

2

Câu 17: 1 điểm

y = x2 +3 −7
y = −5 + 8 = 0
How many solutions are there to the system of equations above?

A.  

There are exactly 4 solutions.

B.  

There are exactly 2 solutions.

C.  

There is exactly 1 solution.

D.  

There are no solutions.

Câu 18: 1 điểm

Oil and gas production in a certain area dropped from 4 million barrels in 2000 to 1.9 million barrels in 2013. Assuming that the oil and gas production decreased at a constant rate, which of the following linear functions f best models the production, in millions of barrels, t years after the year 2000?

A.  

f(t) = 21130\frac{21}{130} t + 4

B.  

f(t) = 21130\frac{21}{130} t + 4

C.  

f(t) = − 21130\frac{21}{130} t + 4

D.  

f(t) = − 21130\frac{21}{130} t + 4

Câu 19: 1 điểm

If 2ab\frac{2a}{b} = 1⁄2, what is the value of b⁄a?

A.  

1⁄8

B.  

1⁄4

C.  

2

D.  

4

Câu 20: 1 điểm

Hình ảnh

Which of the following could be the equation of the graph above?

A.  

y = x(x − 2)(x + 3)

B.  

y = x2(x − 2)(x + 3)

C.  

y = x(x + 2)(x - 3)

D.  

y = x2(x + 2)(x - 3)


 

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