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# SAT 2022 Math Practice Linear Equations Word Problems Questions with Answer Keys

Welcome to AMBiPi (Amans Maths Blogs). In this article, you will get SAT 2022 Math Practice Solving Linear Equations Word Problems Questions with Answer Keys.

### SAT 2022 Math Multiple Choice Practice Questions

#### Solving Linear Equations Word Problems Multiple Choice Questions with Answer Keys

SAT Math Practice Test Question No 1:

If 1/2 + 4x = x +2, what is the value of x?

Option A : x = 3/10

Option B : x = 1/2

Option C : x = 5/6

Option D : x = 15/2

Option A : x = 3/10

SAT Math Practice Test Question No 2:

8x + 5 = bx−7
In the equation shown above, b is a constant. For what value of b does the equation have no solutions?

Option A : -8

Option B : -7

Option C : 5

Option D : 8

Option D : 8

SAT Math Practice Test Question No 3:

If -8 – 8y = 6 – 2y, what is the value of y?

Option A : y = -3/7

Option B : y = 3/7

Option C : y = 7/3

Option D : y = -7/3

Option D : y = -7/3

SAT Math Practice Test Question No 4:

2| – v/4 | + 26 < 12
Which of the following best describes the solutions to the inequality shown above

Option A : -7 < 7

Option B : -28 < 28

Option C : No solution

Option D : All real numbers

Option C : No solution

SAT Math Practice Test Question No 5:

2/3 – 5x = bx+ 1/3
In the equation shown above, b is a constant. For what value of b does the equation no solutions?

Option A : 5

Option B : 0

Option C : -5

Option D : 2/3

Option C : -5

SAT Math Practice Test Question No 6:

If Dimitri is helping to plan  the school talent show. Each performer for the talent show has 6 minutes  for his or her performance, which includes transition time between performances. If the introduction for the talent show is 24 minutes long and the show will last 150 minutes, how many different performances can the talent show accommodate?

Option A : 21

Option B : 24

Option C : 25

Option D : 29

Option A : 21

SAT Math Practice Test Question No 7:

The property taxes in a town decrease as the distance from the local elementary school increases. The greatest property taxes are 4.5,and for every 10 miles from the school, property taxes decrease by 0.5 percentage points. If a house is directly east or west of the school and its property taxes are 3 what is the distance of that house from the school?

Option A : 10 miles

Option B : 20 miles

Option C : 30 miles

Option D : 40 miles

Option C : 30 miles

SAT Math Practice Test Question No 8:

If Dalia is installing a tile floor in a rectangular room. Dalia has 152 tiles available to tile the room. If each row requires 9 1/2 tiles, and 19 tiles break while Dalia is laying the floor, how many full rows of tile can she install before running out of tiles?

Option A : 12

Option B : 14

Option C : 16

Option D : 18

Option B : 14

SAT Math Practice Test Question No 9:

Phytoremediation is the use of plant growth to purify pollutants from soil, water, or air. Suppose that a crop of brake ferns can remove 15 milligrams (mg) per square meter of a particular pollutant from the soil in 20 weeks. After 20 weeks, the ferns are harvested and a new crop is planted. If cc represents the number of crops of brake ferns needed to Phytoremediation soil contaminated with 170mg per square meter of the pollutant down to healthy levels of 5mg per square meter, which equation best models the situation?

Option A : 170 − 20c = 5

Option B : 170 + 20c = 5

Option C : 170 − 15c = 5

Option D : 170 + 20c = 5

Option C : 170 − 15c = 5

SAT Math Practice Test Question No 10:

One of the rules in a public speaking contest requires contestants to speak for as close to 5 minutes (300 seconds) as possible. Contestants lose 3 points for each second they speak either over or under 5 minutes. Which expression below can be used to determine the number of points a contestant loses if she speaks for x seconds?

Option A : 3|x−300|

Option B : 5|x−300|

Option C : 3|x+300|

Option D : 3/5|x+300|

Option A:  3|x−300|

SAT Math Practice Test Question No 11:

Cara is hanging a poster that is 91 centimeters (cm) wide in her room. The center of the wall is 180cm from the right end of the wall. If Cara hangs the poster so that the center of the poster is located at the center of the wall, how far will the left and right edges of the poster be from the right end of the wall?

Option A : 225.5cm and 89cm, respectively

Option B : 271.5cm and 134.5cm, respectively

Option C : 225.5cm and 134.5cm, respectively

Option D : 271cm and 89cm, respectively

Option C : 225.5cm and 134.5cm, respectively

SAT Math Practice Test Question No 12:

Felipe is saving money for a class trip. He already has saved \$250 that he will put toward the trip. To save more money for  the trip, Felipe gets a job where each month he can add \$350 to his savings for the trip. Let m be  the number of months that Felipe has worked at his new job. If Felipe needs to save \$2700 to go on the trip, which equation best models the situation?

Option A : 250m − 350 = 2700

Option B : 250m + 350 = 2700

Option C : 350m − 250 = 2700

Option D : 350m + 250 = 2700

Option D : 350m + 250 = 2700

SAT Math Practice Test Question No 13:

Camille and Hiroki have decided to start walking for exercise. Camille is going to walk 7 miles  the first day and 3 miles each day after that Hiroki is too busy to walk on the first 2 days, so he decides to walk 5 miles each day until he has walked the same number of miles as Camille. If Camille and Hiroki will have walked the same number of miles, how many days will Camille have walked?

Option A : 2

Option B : 3

Option C : 5

Option D : 7

Option D : 7

SAT Math Practice Test Question No 14:

An art gallery displays a large painting in the center of a wall that is 24 feet (ft) wide. The painting is 10ft wide. Which of the following equations can be used to find the distances, x in feet, from the left end of the wall to  the edges of the painting?

Option A : |x − 10| = 12

Option B : 2|x − 12| = 10

Option C : 2|x − 10| = 12

Option D : |x − 12| = 10

Option B : 2|x−12|=10

SAT Math Practice Test Question No 15:

At the county fair, the operator of a game guesses a contestant’s weight. For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive \$3. If a contestant received \$15 when the operator guessed 120 pounds, what are the possible values for the  weight of the contestant?

Option A : 105 and 115

Option B : 105 and 125

Option C : 115 and 125

Option D : 115 and 135

Option C :  115 and 125

### SAT 2022 Math Grid-in Practice Questions

#### Solving Linear Equations and Inequalities Grid-in Choice Questions with Answer Keys

SAT Math Practice Test Question No 16:

A park shaped like a pentagon has four equal length sides and one unequal side whose length is 35 feet (ft). The perimeter  of the park is 195 ft. What is the length in feet of one of the equal sides?

SAT Math Practice Test Question No 17:

Sasha has \$2.65 in change in her pocket. The \$2.65 is made up of one quarter plus an equal number of nickels and dimes. How many nickels does Sasha have in her pocket?

SAT Math Practice Test Question No 18:

The number of subscribers to a certain newspaper decreases by about 2,000 each year. In 2010, there were 19,000 subscribers. In what year should the newspaper expect to have approximately 7,000 subscribers?

SAT Math Practice Test Question No 19:

An airplane begins its descent to land from a height of 35,000 feet (ft) above sea level. The airplane’s height changes by about −4000 ft every 3 minutes. Rounded to the nearest minute, in approximately how many minutes will the plane land?
Assume that the airport runway is at sea level.