SAT Math

Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. She can work no more than 20 hours per week, but she wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation in terms of x and y, where x is the number of hours she tutors and y is the number of hours she works as a lifeguard?

NO CALC.

• 12x + 9.5y ≤ 220

  x +y ≥ 20

• 12x + 9.5y ≤ 220

  x + y ≤ 20

• 12x + 9.5y ≥ 220

  x + y ≤ 20

• 12x + 9.5y ≥ 220

  x + y ≥ 20

Tags

CCSS.7.EE.B.3

What are the solutions of the quadratic equation 4x²  − 8x − 12 = 0 ?

NO CALC.

• x= -1

  x= -3

• x= -1

  x= 3

• x= 1

  x= -3

• x= 1

  x= 3

Tags

CCSS.HSA.REI.B.4

y= x²

2y + 6= 2(x+3)

If ( x, y ) is a solution of the system of equations above and x > 0, what is the value of xy ?

NO CALC.

• 1

• 2

• 3

• 9

Tags

CCSS.HSA.REI.C.7

To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)

YES CALC.

• 7.5

• 10

• 50.5

• 120

Tags

CCSS.6.RP.A.3B

Which of the following is an equivalent form of (1.5x − 2.4)² − (5.2x² − 6.4) ?

YES CALC.

• −2.2x² + 1.6

• −2.2x² + 11.2

• −2.95x²− 7.2x + 12.16

• −2.95x² − 7.2x + 0.64

Tags

CCSS.7.NS.A.3

A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?

I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.

II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.

III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city

NO CALC.

• None

• II only

• I and II only

• I and III only

Tags

CCSS.6.RP.A.3C

Townsend Realty purchased the Glenview Street property and received a 40% discount off the original price along with an additional 20% off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?

YES CALC.

• $350,000

• $291,700

• $233,300

• $175,000

Tags

CCSS.6.RP.A.3C

In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?

YES CALC.

• 16,200

• 23,400

• 30,600

• 46,800

Tags

CCSS.7.RP.A.3

y ≤ 3x +1

x − y >1

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

NO CALC.

• (-2, -1)

• (-1, 3)

• (1,5)

• (2,-1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12

-2x + 3y=6

In the xy-plane, the graph of which of the following equations is perpendicular to the graph of the equation above?

NO CALC.

• 3x+2y=6

• 3x+4y=6

• 2x+4y=6

• 2x+6y=3

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5