Welcome to **AMBiPi (Amans Maths Blogs)**. SAT (Scholastic Assessment Test) is a standard test, used for taking admission to undergraduate programs of universities or colleges in the United States. In this article, you will get * SAT 2022 Prep Test 2 Math Grid Ins Questions with Answer Keys | SAT Online Classes AMBiPi*.

### SAT 2022 Prep Test 2 Math Grid Ins Questions with Answer Keys

**SAT Math Practice Online Test Question No 1:**

4x + 2y = 24 and (7y/2x) = 7, what is the value of x?

**Show/Hide Answer Key**

**Correct Answer: 3 **

Given 4x + 2y = 24 ⇒ 2x + y = 12 and (7y/2x) = 7 ⇒ 7y = 14x ⇒ y = 2x

Now, 4x + 2(2x) = 24 ⇒ 8x = 24 ⇒ x = 3

**SAT Math Practice Online Test Question No 2:**

In the figure above, if d is parallel to e, what is the value of y ?

**Show/Hide Answer Key**

**Correct Answer: 148 **

y = 58 + 90 = 148

**SAT Math Practice Online Test Question No 3:**

Jeanne babysits Chuy one day each week. Jeanne charges a $20 fee for the day, plus $5.50 for every 30 minutes of babysitting. How much has Jeanne earned after three hours of babysitting? (Disregard the $ sign when gridding your answer.)

**Show/Hide Answer Key**

**Correct Answer: 53 **

Jean charges 5.50 × 2 = $11 per hour for babysitting. Therefore, her entire earnings for three hours can be calculated as (3 × 11) + 20 = 53. The correct answer is 53.

**SAT Math Practice Online Test Question No 4:**

A gardener has a cultivated plot that measures 4 feet by 6 feet. Next year, she wants to double the area of her plot by increasing the length and width by x feet. What is the value of x?

**Show/Hide Answer Key**

**Correct Answer: 2 **

The area of the current plot is 4 × 6 = 24 square feet.

So, the new plot will be 24 × 2 = 48 square feet.

According to the question, x feet will be added to each side to obtain the new area of 48 feet.

Then, (4 + x)(6 + x) = 48 ⇒ x^{2} + 10x + 24 = 48. ⇒ (x + 12)(x – 2) = 0.

Therefore, x = -12 or x = 2. Since lengths can never be negative the only possible value is x = 2.

**SAT Math Practice Online Test Question No 5:**

Marcellus is traveling abroad in Ghana and using traveler’s checks, which he has acquired from Easy Traveler’s Savings Bank. Easy Traveler’s Savings Bank charges a 7% fee on traveler’s checks, which can then be used like cash at any location overseas at the same exchange rate, and any change will then be returned to Marcellus in local currency. For this trip, Marcellus bought a 651 Cedi traveler’s check and paid a fee of 32.30 USD (United States dollars) for the check.

While in Ghana, Marcellus finds Leon’s Pawnshop and Barter, which offers store credit for Marcellus’s briefcase equal to its value in Cedis. If Marcellus’s briefcase is worth 5,000 USD at the same exchange rate at which he bought his traveler’s check, then how much store credit, to the closest Cedi, will Marcellus receive for the briefcase?

**Show/Hide Answer Key**

**Correct Answer: 7.054 **

First, you need to determine the current exchange rate.

The 7% fee is the same (relative to the exchange rate), whether it was applied to the Cedi or USD.

Therefore, 7% of 651 Cedi is equal to 32.30 USD ⇒ 0.07(651) = 32.30 ⇒ 45.57 Cedi = 32.30 USD.

Next, you want the value of an item worth 5,000 USD in Cedi.

So, set up a proportion: (45.57 Cedi)/(32.30 USD) = (x Cedi)/(5,000 USD).

⇒ (45.57)(5,000) = 32.30x, or 227,850 = 32.30x.

Divide both sides by 32.30 and you get x = 7,054.18 USD, which rounds to 7,054.

**SAT Math Practice Online Test Question No 6:**

A group of students at Omega High School is using staples and popsicle sticks to build a scale model of the Great Wall of China as part of a project detailing China’s military history. The number of staples the students will need is three times the number of popsicle sticks they will need. If the students determine they need 84 staples for this particular project, how many popsicle sticks will they need?

**Show/Hide Answer Key**

**Correct Answer: 28 **

Let s equal the number of staples required by the students and let p be the number of popsicle sticks required. Then s = 3p.

Since s = 84 ⇒ 84 = 3p ⇒ 28 = p.

**SAT Math Practice Online Test Question No 7:**

The number of hours Robert spends in his game room is proportional to the number of hours he spends playing Call of Destiny IV: Modern Battlefield. If he plays Call of Destiny IV for 6 hours, he will spend 8 hours in his game room. How many hours will Robert spend in his game room if he plays Call of Destiny IV for only 3 hours?

**Show/Hide Answer Key**

**Correct Answer: 4 **

When dealing with directly proportional values, you can use the equation x_{1}/y_{1} = x_{2}/y_{2}. Then, 6/8 = 3/y_{2} ⇒ y_{2} = 4.

**SAT Math Practice Online Test Question No 8:**

In a school-wide competition held at Saul C. Tigh Memorial High School, Olympiad teams are challenged to come up with different circuits involving both real and imaginary currents. Imaginary currents exist in spots where the electrical energy encounters zero resistance, such as through a coil or wire. Real currents exist only where the electrical energy headed through the circuit encounters resistance, such as when a light bulb “resists” the current and takes up some of the energy carried throughout the circuit.

The members of Team Charlie develop a circuit in which the total current, real and imaginary, can be measured at 50 + 12i amps. They then add the current together with the current produced by Team Delta’s circuit, 40 – 9i amps. Finally, they decide to multiply the resulting current, in amps, by Team Epsilon’s total current, 60 – 2i amps. What is the final current, in amps, after the entire

**Show/Hide Answer Key**

**Correct Answer: 5406 **

The first step here is to add Team Charlie’s and Team Delta’s total currents together as follows:

{(50 + 2i) + (40 – 9i)} = (90 + 3i)

Next, use FOIL to multiply this value by the total current from Team Epsilon: (90 + 3i) (60 – 2i) = 5,400 – 90(2i) + 60(3i) – 2i(3i) = 5400 – 180i + 180i – 6i^{2} = 5,400 – 6i^{2}. Since i^{2} = -1, this is equivalent to 5,400 – 6(-1) = 5,400 + 6 = 5,406.

**SAT Math Practice Online Test Question No 9:**

2y – x ≤ 4

-2x + y ≥ -4

If s is the sum of the x– and y-coordinates of any point in the solution to the system of inequalities above as graphed in the xy-plane, what is the greatest possible value of s?

**Show/Hide Answer Key**

**Correct Answer: 8 **

When no picture is provided, it helps to draw one. First, rewrite each equation so that it is in the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept of the line. The first equation becomes 2y ≤ x + 4, or y ≤ (1/2)x + 2. The second equation becomes y ≥ 2x – 4.

The greatest x + y is the point at which the two lines intersect. Set the equations of the two lines, y = (1/2)x + 2 and y = 2x – 4, equal to each other and solve for x. The resulting equation is (1/2)x + 2 = 2x – 4. Solve for x to get (-3/2)x + 2 = -4 or (-3/2)x = -6, so x = 4. Next, plug 4 into one of the two equations to solve for y. Therefore, y = 2(4) – 4 = 4 and x + y = 4 + 4 = 8. The correct answer is 8.

**SAT Math Practice Online Test Question No 10:**

At the local mall, Casey’s Card Cart sells cards à la carte. Casey’s revenue R, in dollars, for x days is given by the function R(x) = 250x – 20. If Casey earned $1,230, how many days has she sold cards?

**Show/Hide Answer Key**

**Correct Answer: 5 **

Given 1,230 = 250x – 20. Solve for x to get 1,250 = 250x and x = 5. The correct answer is 5.