OG Test 3 - Reading 5

Question 1

If 5x + 6 = 10, what is the value of 10x + 3 ?

  • A 4

  • B 9

  • C 11

  • D 20

Question 2

x+y=0
3x−2y=10

Which of the following ordered pairs (x, y) satisfies the system of equations above?

  • A (3, −2)

  • B (2, −2)

  • C (−2, 2)

  • D (−2, −2)

Question 3

A landscaping company estimates the price of a job, in dollars, using the expression 60 + 12nh, where n is the number of landscapers who will be working and h is the total number of hours the job will take using n landscapers. Which of the following is the best interpretation of the number 12 in the expression?

  • A The company charges $12 per hour for each landscaper.

  • B A minimum of 12 landscapers will work on each job.

  • C The price of every job increases by $12 every hour.

  • D Each landscaper works 12 hours a day.

Question 4

$$9a^4+12a^2b^2+4b^4$$

Which of the following is equivalent to the expression shown above?

  • A $$(3a^2+2b^2)^2$$

  • B $$(3a+2b)^4$$

  • C $$(9a^2+4b^2)^2$$

  • D $$(9a+4b)^4$$

Question 5

$$\sqrt{2k^2+17}-x=0$$

If k > 0 and x = 7 in the equation above, what is the value of k ?

  • A 2

  • B 3

  • C 4

  • D 5

Question 6

SAT、sat题库、sat模考、sat考满分

In the xy-plane above, line $$\ell$$ is parallel to line $$k$$. What is the value of $$p$$?

  • A 4

  • B 5

  • C 8

  • D 10

Question 7

If $$\frac{x^{a^2}}{x^{b^2}}=x^{16}$$, $$x>1$$, and $$a+b=2$$, what is the value of $$a−b$$ ?

  • A 8

  • B 14

  • C 16

  • D 18

Question 8

nA = 360
The measure A, in degrees, of an exterior angle of a regular polygon is related to the number of sides, n, of the polygon by the formula above. If the measure of an exterior angle of a regular polygon is greater than 50°, what is the greatest number of sides it can have?

  • A 5

  • B 6

  • C 7

  • D 8

Question 9

The graph of a line in the xy-plane has slope 2 and contains the point (1, 8). The graph of a second line passes through the points (1, 2) and (2, 1). If the two lines intersect at the point (a, b), what is the value of a + b ?

  • A 4

  • B 3

  • C -1

  • D -4

Question 10

Which of the following equations has a graph in the xy-plane for which y is always greater than or equal to −1 ?

  • A $$y = x − 2$$

  • B $$y = x^2 − 2$$

  • C $$y = (x − 2)^2$$

  • D $$y = x^3 − 2$$

Question 11

Which of the following complex numbers is equivalent to $$\frac{3-5i}{8+2i}$$?(Note: $$i=\sqrt{-1}$$)

  • A $$\frac{3}{8}-\frac{5i}{2}$$

  • B $$\frac{3}{8}+\frac{5i}{2}$$

  • C $$\frac{7}{34}-\frac{23i}{34}$$

  • D $$\frac{7}{34}+\frac{23i}{34}$$

Question 12

$$R=\frac{F}{N+F}$$

A website uses the formula above to calculate a seller`s rating, R, based on the number of favorable reviews, F, and unfavorable reviews, N. Which of the following expresses the number of favorable reviews in terms of the other variables?

  • A $$F=\frac{RN}{R-1}$$

  • B $$F=\frac{RN}{1-R}$$

  • C $$F=\frac{N}{1-R}$$

  • D $$F=\frac{N}{R-1}$$

Question 13

What is the sum of all values of $$m$$ that satisfy $$2m^2−16m+8=0$$?

  • A $$−8$$

  • B $$-4\sqrt{3}$$

  • C $$4\sqrt{3}$$

  • D $$8$$

Question 14

A radioactive substance decays at an annual rate of 13 percent. If the initial amount of the substance is 325 grams, which of the following functions $$f$$ models the remaining amount of the substance, in grams, $$t$$ years later?

  • A $$f(t) = 325(0.87)^t$$

  • B $$f(t) = 325(0.13)^t$$

  • C $$f(t) = 0.87(325)^t$$

  • D $$f(t) = 0.13(325)^t$$

Question 15

The expression $$\frac{5x-2}{x+3}$$ is equivalent to which of the following?

  • A $$\frac{5-2}{3}$$

  • B $$5-\frac{2}{3}$$

  • C $$5-\frac{2}{x+3}$$

  • D $$5-\frac{17}{x+3}$$

Question 16

The sales manager of a company awarded a total of $3000 in bonuses to the most productive salespeople. The bonuses were awarded in amounts of $250 or $750. If at least one $250 bonus and at least one $750 bonus were awarded, what is one possible number of $250 bonuses awarded?

Question 17

$$2x(3x+5)+3(3x+5)=ax^2+bx+c$$

In the equation above, a, b, and c are constants. If the equation is true for all values of x, what is the value of b ?

Question 18

SAT、sat题库、sat模考、sat考满分

In the figure above, $$\overline{AE}\parallel\overline{CD}$$ and segment AD intersects segment CE at B. What is the length of segment CE?

Question 19

In the xy-plane above, O is the center of the circle, and the measure of ∠AOB is $$\frac{\pi}{a}$$ radians. What is the value of a ? SAT、sat题库、sat模考、sat考满分

Question 20

ax+by=12
2x+8y=60

In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of $$\frac{a}{b}$$?

X
X

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