SAT Checkpoint #3

A store sells two different-sized containers of a certain Greek yogurt. The storeʼs sales of this Greek yogurt totaled $1277.94 last month. The equation 5.48x+7.30y=1277.94 represents this situation, where x is the number of smaller containers sold and y is the number of larger containers sold. According to the equation, which of the following represents the price, in dollars, of each smaller container?

• 5.48

• 7.30

• 5.48x

• 7.30y

Tags

CCSS.HSF.LE.B.5

The graphs of the given equations intersect at the point (x,y) in the xy-plane. What is the value of y?

 x = 49

y=√x + 9

 

• 40

• 81

• 130

• 16

Tags

CCSS.HSA.REI.A.2

The system of equations above has solution (x, y). What is the value of x ?

.5y = 4

 x - .5y = 2

• 2

• 3.5

• 4

• 6

Tags

CCSS.HSA.REI.C.9

If (x,y) is a solution to the system of equations above, which of the following could be the value of x?

y = x + 1

y = x^2 + x

• 0

• 2

• -1

• 3

Tags

CCSS.HSA.REI.C.7

A right circular cylinder has a volume of 45π. If the height of the cylinder is 5, what is the radius of the cylinder?

• 4.5

• 9

• 40

• 3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

In the system of equations below, a and c are constants.

Equation 1: x/2 + y/3 = 1/6

Equation 2: ax + y = c

If the system of equations has an infinite number of solutions (x,y), what is the value of a ?

• -.5

• 0

• .5

• 1.5

Tags

CCSS.8.EE.C.8B

x^2 - 2x - 9 = 0

One solution to the given equation can be written as 1+√k, where k is a constant. What is the value of k ?

• 8

• 10

• 20

• 40

Tags

CCSS.HSA-REI.B.4B

Square A has side lengths that are 166 times the side lengths of square B. The area of square A is k times the area of square B. What is the value of k?

(a)  

Tags

CCSS.7.G.A.1

The table to the left displays the Number of Contestants by Score and Day.

The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above.

No contestant received the same score on two different days. If a contestant is selected at random, what is the probability that the selected contestant received a score of 5 on Day 2 or Day 3, given that the contestant received a score of 5 on one of the three days?

Enter your response as a fraction

(a)  

Tags

CCSS.HSS.CP.B.6

The table above shows information about 14 cars listed for sale on an auto dealershipʼs website. If one of the cars listed for sale is selected at random, what is the probability that the car selected will be a hybrid car priced at no more than $25000?

• 1/7

• 2/7

• 1/3

• 4/7