Welcome to **AMBiPi (Amans Maths Blogs)**. In this article, you will get * SAT 2022 Math Practice | System of Linear Equations Word Problems | SAT Online Tutor AMBiPi*.

### SAT 2022 Math Multiple Choice Practice Questions

#### System of Linear Equations Word Problems Multiple Choice Questions with Answer Keys

**SAT Math Practice Question No 1:**

The owner of a landscaping company is developing a proposal to maintain the grounds of a building. It is estimated that 75 gardening hours and 25 foreman hours will be required. The total budget for these hours is $1600. The hourly wage for a foreman is 30% more than a gardener plus an additional $1.65 per hour. Which of the following systems of equations can be used to determine the hourly wages of a gardener, g, and a foreman, f, so the total wages are $1600?

**Option A** : 25g + 75f = 1600, f = 1.3g + 1.65

**Option B** : 25f + 75g = 1600, f = 1.3g + 1.65

**Option C** : 25g + 75f = 1600, g = 1.3f + 1.65

**Option D** : 25f + 75g = 1600, g = 1.3f + 1.65

**Show/Hide Answer Key**

**Option B : 25f + 75g = 1600, f = 1.3g + 1.65**

**SAT Math Practice Question No 2:**

Devin is a landscaper who needs to prepare different types of grass seed for his customers’ yards. Bluegrass seed costs $2.00 per pound while drought-resistant seed costs $3.00 per pound. If for a particular day the two types of grass seed totaled $68.00 and together weighed 25 pounds, how many pounds of bluegrass seed did Devin prepare?

**Option A** : 4 pounds of bluegrass seed and 21 pounds of drought-resistant seed

**Option B** : 7 pounds of bluegrass seed and 18 pounds of drought-resistant seed

**Option C** : 18 pounds of bluegrass seed and 7 pounds of drought-resistant seed

**Option D** : 21 pounds of bluegrass seed and 4 pounds of drought-resistant seed

**Show/Hide Answer Key**

**Option B : 7 pounds of bluegrass seed and 18 pounds of drought-resistant seed**

**SAT Math Practice Question No 3:**

Ricardo had two types of homework assignments for his college math class. The amount of mmm mini assignments he had was one fewer than twice the amount of l long assignments he had. If he had a total of 46 mini and long assignments, which of the following systems of equations can be used to find out how any mini and long assignments he had?

**Option A** : m = 2l − 1, m + l = 46

**Option B** : m = 2l − 1, m = l + 46

**Option C** : l = 2m − 1, m + l = 46

**Option D** : l = 2m − 1, m = l + 46

**Show/Hide Answer Key**

**Option A : m = 2l − 1, m + l = 46**

**SAT Math Practice Question No 4:**

One Saturday, a butcher sells meat at a local farmer’s market and makes a total number of dollars from selling a specific number of pounds of beef at $6.00 per pound as well as $7.00 from selling pork. On Sunday, she makes the same amount of money from selling an equivalent b pounds of beef at $4.00 per pound as well as $5.00 from selling pork. Which system of equations can be used to find out how many bbb pounds of beef she made for a total of d dollars?

**Option A** : d = 4b + 7, d = 6b + 5

**Option B** : d = 6b + 7, d = 4b + 5

**Option C** : b = 4d + 7, b = 6d + 5

**Option D** : b = 6d + 7, b = 4d + 5

**Show/Hide Answer Key**

**Option B : d = 6b + 7, d = 4b + 5**

**SAT Math Practice Question No 5:**

A piece of glass with an initial temperature of 99∘C is cooled at a rate of 3.5∘C per minute. Concurrently, a piece of copper with an initial temperature of 0∘C is heated at 2.5∘C per minute. Which of the following systems of equations can be used to solve for the temperature, T, in degrees Celsius, and the time, m, in minutes, when the glass and copper reach the same temperatures?

**Option A** : T = 99 + 3.5m, T = 2.5m

**Option B** : T = 99 − 3.5m, T = 2.5m

**Option C** : T = 99 + 2.5m, T = 3.5m

**Option D** : T = 99 − 2.5m, T = 3.5m

**Show/Hide Answer Key**

**Option B : T = 99 − 3.5m, T = 2.5m**

**SAT Math Practice Question No 6:**

A vegetable stand sells p pumpkins for $5.00 each and s squashes for $3.00 each. On Monday, the stand sold 6 more squashes than pumpkins and made a total of $98.00. Which system of equations can be used to determine the number of pumpkins and squashes sold?

**Option A** : 3p + 5s = 98, s = p + 6

**Option B** : 3p + 5s = 98, p = s + 6

**Option C** : 5p + 3s = 98, s = p + 6

**Option D** : 5p + 3s = 98, p = s + 6

**Show/Hide Answer Key**

**Option C : 5p + 3s = 98, s = p + 6**

**SAT Math Practice Question No 7:**

Mikayla is the communications director for a politician and has recommended that a total of 41 talks are given by the politician before election day. She also recommends a total of 9 more formal speeches, s, than informal talks, t. Which of the following systems of equations can be used to find out how many formal speeches versus informal talks she had?

**Option A** : t = s + 9, s + t = 41

**Option B** : t = s + 9, s = t − 41

**Option C** : s = t + 9, s + t = 41

**Option D** : s = t + 9, s = t − 41

**Show/Hide Answer Key**

**Option C : s = t + 9, s + t = 41**

**SAT Math Practice Question No 8:**

Tickets for a concert were $5 for each child and $8 for each adult. At one of the concerts, each adult brought 4 children with them, and 10 children attended without an adult. The total ticket sales were $1730. Which of the following systems of equations can be solved to determine the number of children, c, and adults, a, who attended the concert?

**Option A** : 5c + 8a = 1730, 4a + 10 = c

**Option B** : 5c + 8a = 1730, 4a − 10 = c

**Option C** : 8c + 5a = 1730, 4a + 10 = c

**Option D** : 8c + 5a = 1730, 4a − 10 = c

**Show/Hide Answer Key**

**Option A : 5c + 8a = 1730, 4a + 10 = c.**

**SAT Math Practice Question No 9:**

Today, the population of Canyon Falls is 22,500 and the population of Swift Creek is 15,200. The population of Canyon Falls is decreasing at the rate of 740 people each year while the population of Swift Creek is increasing at the rate of 1,500 each year. Assuming these rates continue into the future, in how many years from today will the population of Swift Creek equal twice the population of Canyon Falls?

**Option A** : 9 Years

**Option B** : 10 Years

**Option C** : 11 Years

**Option D** : 12 Years

**Show/Hide Answer Key**

**Option B : 10 Years**

**SAT Math Practice Question No 10:**

The owner of a health food store is developing a new product that consists of peanuts and raisins. Raisins cost $2.50 per pound and peanuts cost $3.50 per pound. The owner wants to create 20 pounds of the product that cost $3.03 per pound. Which of the following systems of equations can be used to determine the number of pounds of peanuts, p, and the number of pounds of raisins, r, that should be combined?

**Option A** : p – r = 20, (2.50p + 3.50r) / 20 = 3.03

**Option B** : p + r = 20, (2.50p + 3.50r) / 20 = 3.03

**Option C** : p – r = 20, (2.50p + 3.50r) = 3.03

**Option D** : p + r = 20, (2.50p + 3.50r) = 3.03

**Show/Hide Answer Key**

**Option B: p + r = 20, (2.50p + 3.50r) / 20 = 3.03**

**SAT Math Practice Question No 11:**

Jerry has a large car which holds 22 gallons of fuel and get 20 miles per gallon. Kate has a smaller car which holds 16.5 gallons of fuel and gets 30 miles per gallon. If both cars have a full tank of fuel now and drive the same distance, in how many miles will the remaining fuel in each tank be the same?

**Option A** : 320

**Option B** : 325

**Option C** : 330

**Option D** : 335

**Show/Hide Answer Key**

**Option C : 330**

**SAT Math Practice Question No 12:**

A charity is planning a raffle to raise money. There are 125 regular tickets and 50 premium tickets. The cost of a premium ticket is 25% more than a regular ticket plus an additional $1.50. The raffle organizers expect to sell all of the tickets, and they want to collect $1,950 from the ticket sales. Which of the following systems of equations can be used to determine the price, p, of each premium ticket and the price, r, of each regular ticket?

**Option A** : 50p + 125r = 1950, p − 1.25r = 1.50

**Option B** : 50p + 125r = 1950, p − 1.50r = 1.25

**Option C** : 125p + 50r = 1950, p − 1.25r = 1.50

**Option D** : 125p + 50r = 1950, p − 1.50r = 1.25

**Show/Hide Answer Key**

**Option D : 125p + 50r = 1950, p − 1.50r = 1.25**

**SAT Test Prep Question No 13:**

For a high school dinner function for teachers and students, the math department bought 6 cases of juice and 1 case of bottled water for a total of $135. The science department bought 4 cases of juice and 2 cases of bottled water for a total of $110. How much did a case of juice cost?

**Option A** : $12.50

**Option B** : $15.00

**Option C** : $20.00

**Option D** : $25.00

**Show/Hide Answer Key**

**Option C : $20.00**

### SAT 2022 Math Grid-in Practice Questions

#### System of Linear Equations Word Problems Grid-in Choice Questions with Answer Keys

**SAT Test Prep Question No 16:**

The length of a rectangular swimming pool is twice the width. If the perimeter is 120 feet, then what is the width in feet?

**Show/Hide Answer Key**

**Correct Answer : 20**

**SAT Test Prep Question No 17:**

Paulo’s economics course requires two papers−−one long and one short−−throughout the semester. The number of pages, l, in the long paper is one more than two times the number of pages, s, in the short paper. If the total number of pages for both papers is 40, how many pages must be in the long paper?

**Show/Hide Answer Key**

**Correct Answer : 27**