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 Math Practice Test 14 Grid Ins Questions with Answer Keys | SAT Online Classes AMBiPi*.

### SAT 2022 Math Practice Test 14 Grid Ins Questions with Answer Keys

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

1/3(90x – 12) = 1/2(8x + 10)

What is the solution to the equation shown?

**Show/Hide Answer Key**

**Correct Answer: 9/26 or .346 **

Difficulty: Easy

Category: Heart of Algebra / Linear Equations

Strategic Advice: Choose the best strategy to answer the question. Distribute the fractions because the numbers inside each set of parentheses are evenly divisible by the denominators of the fractions by which they are being multiplied.

Getting to the Answer: 1/3(90x – 12) = 1/2(8x + 10)

30x – 4 = 4x + 5

26x = 9

x = 9/26

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

According to the U.S. Department of Agriculture, the linear equation f = –3.7t + 872 estimates the number of acres of farmland f in the United States t years after 2010, where f is given in millions of acres. Based on this equation, at the start of what year will the amount of farmland be below 800 million acres?

**Show/Hide Answer Key**

**Correct Answer: 2030 **

Difficulty: Easy

Category: Heart of Algebra / Inequalities

Strategic Advice: Some questions require both mathematical calculations and logic. Think carefully before you grid in your answer to any question that asks, “In what year…?”

Getting to the Answer: You want the cropland to be below, or less than 800, so set up and solve an inequality:

f < 800

-3.7t + 872 < 800

-3.7t < -72

t > 19.46

Here’s the tricky part—should you round? To decide, plug 19 and 20, one at a time, into the original equation and simplify:

When t = 19, f = –3.7(19) + 872 = 801.7, which is not below 800.

This means t = 20, but be careful—that is not the answer! The question states that t represents the number of years after 2010, so the correct answer is 2010 + 20 = 2030.

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

Patricia collected data for a school project, plotted the information on a scatterplot (shown above), and drew the line of best fit. In reviewing her notes, she realized that one of her data points was wrong, so she eliminated that point and redrew the line of best fit. If the new y-intercept of her line is 2 and the slope is steeper than before, what was the y-value of the point she eliminated?

**Show/Hide Answer Key**

**Correct Answer: 5.5 **

Difficulty: Hard

Category: Problem Solving and Data Analysis / Scatterplots

Strategic Advice: Actually, there is nothing to calculate in a question like this. The answer must be the y-value of one of the points already on the graph, so you just need to think about how the graph will look after Patricia removes the erroneous point.

Getting to the Answer: The y-intercept of the line in the graph is 2.5. Once Patricia removes the point, it is 2, which means the line is adjusted downward. The slope of the line, however, is steeper, which means the change in y-values will be greater compared to the change in x-values. Sketch this new line on the graph. After drawing the new line, you can see that the line still fits the data, except for point (9, 5.5), which has now become an extreme outlier. This must have been the point Patricia eliminated, so grid in 5.5.

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

What value of x satisfies the equation 2/3(5x + 7) = 8x?

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**Correct Answer: 1 **

Difficulty: Easy

Category: Heart of Algebra / Linear Equations

Strategic Advice: Choose the best strategy to answer the question. If you distribute the 2/3, it creates messy calculations. Instead, clear the fraction by multiplying both sides of the equation by 3. Then use the distributive property and inverse operations to solve for x.

Getting to the Answer:

2/3(5x + 7) = 8x

3 ⦁ 2/3(5x + 7) = 3 ⦁ 8x

2(5x + 7) = 24x

10x + 14 = 24x

14 = 14x

1 = x

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

A college math professor informs her students that rather than curving final grades, she will replace each student’s lowest test score with the next to the lowest test score, and then re-average the test grades. If Leeza has test scores of 86, 92, 81, 64, and 83, by how many points does her final test average change based on the professor’s policy?

**Show/Hide Answer Key**

**Correct Answer: 3.4 **

Difficulty: Medium

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: The test average is the same as the mean of the data. The mean is the sum of all the values divided by the number of values. Break the question into short steps to keep your calculations organized. Before gridding in your answer, make sure you answered the right question (how much the final test average changes).

Getting to the Answer:

Step 1: Find the original test average:

86 + 92 + 81 + 64 + 83/5 = 406/5 = 81.2.

Step 2: Find the average of the tests after replacing the lowest score (64) with the next to lowest score (81): 86 + 92 + 81 + 81 + 83/5 = 423/5 = 84.6

Step 3: Subtract the original average from the new average: 84.6 – 81.2 = 3.4.

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

If the slope of a line is (-7/4) and a point on the line is (4, 7), what is the y-intercept of the line?

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**Correct Answer: 14 **

Difficulty: Hard

Category: Heart of Algebra / Linear Equations

Strategic Advice: When you know the slope and one point on a line, you can use y = mx + b to write the equation. Substitute the slope for m and the coordinates of the point for x and y and then solve for b, the y-intercept of the line.

Getting to the Answer: The slope is given as (-7/4) so substitute this for m. The point is given as (4, 7), so x = 4 and y = 7.

Now, find b: y = mx + b

7 = -7 + b

14 = b

The y-intercept of the line is 14.

You could also very carefully graph the line using the given point and the slope. Start at (4, 7) and move toward the y-axis by rising 7 and running to the left 4 (because the slope is negative). You should land at the point (0, 14).

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

Chemical Makeup of One Mole of Chloroform

A chemical solvent is a substance that dissolves another to form a solution. For example, water is a solvent for sugar. Unfortunately, many chemical solvents are hazardous to the environment. One eco-friendly chemical solvent is chloroform, also known as trichloromethane (CHCl3). The table above shows the chemical makeup of one mole of chloroform.

If a chemist starts with 1,000 grams of chloroform and uses 522.5 grams, how many moles of chlorine are left?

**Show/Hide Answer Key**

**Correct Answer: 12**

Difficulty: Hard

Category: Problem Solving and Data Analysis / Rates, Ratios, Proportions, and Percentages

Strategic Advice: This part of the question contains several steps. Think about the units given in the question and how you can use what you know to find what you need.

Getting to the Answer: Start with grams of chloroform; the chemist starts with 1,000 and uses 522.5, so there are 1,000 – 522.5 = 477.5 grams left. From the previous question, you know that 1 mole of chloroform has a mass of 119.378 grams, so there are 477.5 ÷ 119.378 = 3.999, or about 4 moles of chloroform left. Be careful—you’re not finished yet. The question asks for the number of moles of chlorine, not chloroform. According to the table, each mole of chloroform contains 3 moles of chlorine, so there are 4 × 3 = 12 moles of chlorine left.

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

The histogram above shows the number of vehicles that a car rental agency currently has available to rent, categorized by fuel-efficiency ratings. If a customer randomly selects one of the available cars, what is the probability that he will get a car that has a fuel efficiency rating of at least 25 miles per gallon? Enter your answer as a decimal number.

**Show/Hide Answer Key**

**Correct Answer: .52 **

Difficulty: Medium

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: The probability that an event will occur is the number of desired outcomes (the number of available cars that have a rating of at least 25 mpg) divided by the number of total possible outcomes (total number of cars).

Getting to the Answer: “At least” means that much or greater, so find the number of cars represented by the two bars to the right of 25 in the histogram: 20 + 6 = 26 cars. Now find the total number of available cars: 8 + 16 + 20 + 6 = 50. Finally, divide to find the indicated probability: 26/50 = 0.52.

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

If (2)^{32}(^{2}32) = 2(^{2}x), what is the value of x?

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**Correct Answer: 37 **

Difficulty: Hard

Category: Passport to Advanced Math / Exponents

Strategic Advice: Although this question is in the calculator portion of the test, you get an overflow error if you try to use your calculator. This is because the numbers are simply too large. You’ll need to rely on the rules of exponents to answer this question.

Getting to the Answer: When a power is raised to a power, multiply the exponents. You want to be able to add the exponents later, so the bases need to be the same, and you’ll need to recognize that 32 is the same as 2 raised to the 5th power.

Now that the two bases in the exponent are the same, you can add their exponents.

Therefore, x = 37.

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

Three cars all arrive at the same destination at 4:00 PM. The first car traveled 144 miles mostly by highway. The second car traveled 85 miles mainly on rural two-lane roads. The third car traveled 25 miles primarily on busy city streets.

The third car encountered heavy traffic for the first 60% of its trip and only averaged 15 mph. Then traffic stopped due to an accident, and the car did not move for 20 minutes. After the accident was cleared, the car averaged 30 mph for the remainder of the trip. At what time in the afternoon did the third car start its trip? Use only digits for your answer. (For example, enter 1:25 PM as 125.)

**Show/Hide Answer Key**

**Correct Answer: 220 **

Difficulty: Hard

Category: Problem Solving and Data Analysis / Rates, Ratios, Proportions, and Percentages

Strategic Advice: Break the question into short steps (first part of the trip, stopped for the accident, last part of the trip).

Getting to the Answer: To get started, you’ll need to find the distance for each part of the third car’s trip—the question only tells you the total distance (25 miles). Then, use the formula Distance = rate × time to find how long the car traveled at 15 mph and then how long it traveled at 30 mph.

First part of trip: (60% of the drive)

0.6 x 25 mi = 15 mi

15 = 15t

t = 1

So the first part of the trip took 1 hour. Then the car did not move for 20 minutes due to the accident.

Last part of the trip: (40% of the drive remained)

0.4 x 25 mi = 10 mi

10 = 30t

t = 1/3

So the last part of the trip took one-third of an hour or 20 minutes. This means it took the third car a total of 1 hour and 40 minutes to arrive at the destination. Because the car arrived at 4:00 PM, it must have left at 2:20 PM. Enter the answer as 220.