11 terms

Review common questions and answer frequently asked math questions modeled from the actual SAT exam. Skills assessed include: linear and quadratic equations, absolute value, graphing quadrants, and circles.
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The amount of money a software company earns is directly proportional to the number of copies of software sold. The company earns $280 for selling 8 copies. How much money will the company earn from selling 38 copies?

Which of the following is equal to 3 for some value of x ?

A) |x + 2| + 7

B) |x − 2| + 7

C) |x − 2| − 7

D) |2 − x| + 7

A) |x + 2| + 7

B) |x − 2| + 7

C) |x − 2| − 7

D) |2 − x| + 7

2(5a − 3)(6a + 5)

Which of the following is equivalent to the expression above?

A) 60a² − 15

B) 60a² − 30

C) 60a² + 7a − 15

D) 60a² + 14a − 30

Which of the following is equivalent to the expression above?

A) 60a² − 15

B) 60a² − 30

C) 60a² + 7a − 15

D) 60a² + 14a − 30

If x > 0 and x² − x = 12, what is the value of x ?

Exactly 78 percent of the employees at a certain company drive to work. Which of the following could be the total number of employees at the company?

A) 78

B) 156

C) 250

D) 390

A) 78

B) 156

C) 250

D) 390

y = x² − 4x − 12

The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of this equation displays the x-intercepts of the parabola as constants or coefficients?

A) y = (x − 6)(x + 2)

B) y = (x − 2)² − 16

C) y = x² − 4(x + 3)

D) y = x(x − 4) − 12

The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of this equation displays the x-intercepts of the parabola as constants or coefficients?

A) y = (x − 6)(x + 2)

B) y = (x − 2)² − 16

C) y = x² − 4(x + 3)

D) y = x(x − 4) − 12

A manufacturer can produce 225 widgets in 45 minutes. If the widgets continue to be produced at the same rate, how many widgets will be manufactured in 3 hours?

A) 15

B) 675

C) 900

D) 1,125

A) 15

B) 675

C) 900

D) 1,125

Line l in the xy-plane contains points from each of Quadrants I, II, and IV, but no points from Quadrant III. Which of the following statements could be true about line l?

I. Its slope is positive.

II. Its slope is negative.

III. Its slope equals zero.

A) II only

B) I and II only

C) I and III only

D) II and III only

I. Its slope is positive.

II. Its slope is negative.

III. Its slope equals zero.

A) II only

B) I and II only

C) I and III only

D) II and III only

x + 2x + x + x − 5 − 6 = x + 7 + x

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

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

5x + 4y = 9.5

−2x + 4y = −4.5

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

−2x + 4y = −4.5

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

An angle measuring 540° has a radian measure of aπ, where a is a constant. What is the value of a ?