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# 51 SAT Algebra Practice Questions with Answer Keys | SAT Math Online Courses AMBiPi

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 of United States. SAT is developed and published by the College Board, an organization in United States, administered by the Educational Testing Service. In this article, you will get 51 SAT Algebra Practice Questions with Answer Keys | SAT Online Courses AMBiPi.

### SAT 2023-24 Algebra Practice Questions

SAT Algebra Question No 1:

If 3(y + 4) + 5(2y – 3) = 10y + 3, then find the value of y?

Option A : 1

Option B : 2

Option C : 3

Option D : 4

Option B : 2

SAT Algebra Question No 2:

If 4x + 7 = 31, then find the value of (5x – 8)?

Option A : 22

Option B : 23

Option C : 25

Option D : 28

Option A : 22

SAT Algebra Question No 3:

If (x + 4)/2 = (4x – 9)/3, then find the value of 12/x + 3?

Option A : –1

Option B : 2

Option C : 3

Option D : 5

Option D : 5

SAT Algebra Question No 4:

What is the sum of the solutions in the quadratic equation shown below?

6k2 + k – 12 = 0

Option A : -3/4

Option B : -1/6

Option C : 1

Option D : 5/6

Option B : -1/6

SAT Algebra Question No 5:

Which of the following answer choices represents the solution to the equation shown below?

4y2 – 2y – 7 = 0

Option A : (1 ± √29) / 4

Option B : (2 ± √29) / 8

Option C : (2 ± 4√7) / 8

Option D : (1 ± 4√7) / 4

Option A : (1 ± √29) / 4

SAT Algebra Question No 6:

Which of the following could be the value of x?

10/x – 2 = x + 1

Option A : -5

Option B : -2

Option C : 0

Option D : 1

Option A : -5

SAT Algebra Question No 7:

Which of the following could be the value of x in the equation below?

(x2 – 2x – 24) / (x2 + 7x + 12) = 12 / (x2 + x  – 6)

Option A : -2

Option B : 1

Option C : 5

Option D : 8

Option D : 8

SAT Algebra Question No 8:

If 5∜x3 – 12 = 28, then find the value of (x – 7)2?

Option A : 2

Option B : 9

Option C : 16

Option D : 81

Option D : 81

SAT Algebra Question No 9:

If √(3y – 5) = y – d, then find the value of y for d = 3.

Option A : 1

Option B : 4

Option C : 7

Option D : 10

Option C : 7

SAT Algebra Question No 10:

If √b = 4, then find the value of the expression √b × ∛4b.

Option A : 4

Option B : 16

Option C : 8

Option D : 32

Option B : 16

SAT Algebra Question No 11:

If 2x + 3y = 4, then what is the value of 4x2 + 12xy + 9y2?

Option A : -4

Option B : 1

Option C : 8

Option D : 16

Option D : 16

SAT Algebra Question No 12:

If x2 + 2xy + y2 = 81, then find the possible of value of (x + y)?

Option A : 9

Option B : -9

Option C : 18

Option D : -18

Option B : -9

SAT Algebra Question No 13:

If a2 + b2 = r and a + b = 8, then find the value of (5r + 10s), given that ab = s?

Option A : 320

Option B : 40

Option C : 160

Option D : 80

Option A : 320

SAT Algebra Question No 14:

Which of the following expression is equal to 3 for some value of c?

Option A : |c + 2| + 5

Option B : |c – 2| + 5

Option C : |2 – c| – 5

Option D : |2 – c| + 5

Option C : |2 – c| – 5

SAT Algebra Question No 15:

If |x + 2| = 7 and |y – 3| = 4, then find the possible value of (x + y)?

Option A : -8

Option B : -2

Option C : 6

Option D : 8

Option D : 8

SAT Algebra Question No 16:

Which of the following is equivalent to the expression show below?

(8 + 5i) – (4i2 – 7i – 5)

Option A : 5 + 3i

Option B : -4 + 7i

Option C : 17 + 12i

Option D : 12 + 2i

Option C : 17 + 12i

SAT Algebra Question No 17:

What is the product of the complex numbers (3 + 4i) and (5 – 2i)?

Option A : 12 – 3i

Option B : 11 + 5i

Option C : 23 + 14i

Option D : 10 + 19i

Option C : 23 + 14i

SAT Algebra Question No 18:

Which of the following is equivalent to the expression (2 + 3i) / (5 + 2i)?

Option A : 2 + i

Option B : 3/5 + 2i/5

Option C : – 3 – 5i

Option D : 16/29 + 11i/29

Option D : 16/29 + 11i/29

SAT Algebra Question No 19:

Simplify i283.

Option A : -i

Option B : i

Option C : 1

Option D : -1

Option A : -i

SAT Algebra Question No 20:

Y varies directly with X. If Y = 21 when X = 9, what is the value of Y when X = 15?

Option A : 14

Option B : 28

Option C : 35

Option D : 42

Option C : 35

SAT Algebra Question No 21:

Y varies inversely with the square of X. If Y = 2 when X = 2, what is the value of Y when X = 4?

Option A : 4

Option B : 8

Option C : 1/2

Option D : 1/4

Option C : 1/2

SAT Algebra Question No 22:

The gravitational potential energy (U) of an object is directly proportional to the mass (m) of an object as well as the gravitational acceleration (g) of the planet and the height (h) of the object above the ground. The formula is shown below. Which of the following expression correctly represents the height of the object above ground level?

U = mgh

Option A : h = U/mg

Option B : h = mgU

Option C : h = mg/U

Option D : h = g/mU

Option A : h = U/mg

SAT Algebra Question No 23:

The final velocity (Vf) of a moving vehicle is equal to the sum of the initial velocity (Vo) and the product of its acceleration (a) and the time (t). Which of the following expression represents the acceleration of the moving vehicle?

Vf = Vo + at

Option A : a = (Vf – Vo)t

Option B : a = (Vf – Vo) / t

Option C : a = (Vf / Vo) + t

Option D : a = Vf + Vo + t

Option C : a = (Vf – Vo) / t

SAT Algebra Question No 24:

The combined gas law equation shown below describes the relationship between the Pressure, Volume and Kelvin Temperature of an ideal gas. Which of the following expression can be used to calculate T2?

P1V1 / T1 = P2V2 / T2

Option A : T2 = P1V1 / P2V2T1

Option B : T2 = P1V1T1 / P2V2

Option C : T2 = P2V2 / P1V1T1

Option D : T2 = P2V2T1 / P1V1

Option D : T2 = P2V2T1 / P1V1

SAT Algebra Question No 25:

The electric force between two charge particles is proportional to the magnitude of each electric charge (q) and inversely proportional to the square of the distance between the center of the charge (R). Which equation can be use to calculate the magnitude of the first charge (q1).

F = kq1q2 / R2.

Option A : q1 = FR2 / kq2

Option B : q1 = √(kq2 / FR2

Option C : q1 = √(FR2 / kq2)

Option D : q1 = kF / q2R2

Option A : q1 = FR2 / kq2

SAT Algebra Question No 26:

The gravitational force between two planets is directly proportional to the mass of the planets (M) and inversely related to the square of the distance between their centers (R). Which equation can be use to calculate R?

F = GM1M2 / R2

Option A : R = GM1M2 / F

Option B : R = FM1 / GM2

Option C : R = √(F / GM1M2)

Option D : R = √(GM1M2 / F)

Option D : R = √(GM1M2 / F)

SAT Algebra Question No 27:

The difference in Pressure (P) between two points in a moving fluids depends on the density of the fluids (ρ), the height difference (h) between the two points and the fluids velocities (V1 and V2) of those two points according to Bernaulli’s equation. Which of the following expression can be used to calculate the density of the fluids?

∆P = -ρgh – (ρ/2)[V12 – V22]

Option A : ρ = ∆P / (-gh – (1/2)[V12 – V22])

Option B : ρ = ∆P × (-gh – (1/2)[V12 – V22])

Option C : ρ = (-gh – (1/2)[V12 – V22]) / ∆P

Option D : ρ = ∆Pgh + (1/2)∆P[V12 – V22])

Option A : ρ = ∆P / (-gh – (1/2)[V12 – V22])

SAT Algebra Question No 28:

Which of the following answer choice is equivalent to the expression shown below?

(12x2 – 8x + 15) / (2x – 3)

Option A : 6x – 4

Option B : 6x – 5

Option C : (6x + 5) + 30 / (2x – 3)

Option D : (6x – 4) – 5 / (2x – 3)

Option C : (6x + 5) + 30 / (2x – 3)

SAT Algebra Question No 29:

If R(x) = 2x3 – 7x2 – 18x + 63 and S(x) = x2 – 2x – 15, which of the following expression is equivalent to R(x) / S(x)?

Option A : 2x + 5

Option B : 2x – 7

Option C : (2x – 4) + 5 / (x – 5)

Option D : (2x – 3) + 6 / (x – 5)

Option D : (2x – 3) + 6 / (x – 5)

SAT Algebra Question No 30:

Which of the following answer choices is equivalent to the expression shown below? Option A : (6y – 3x) / (x2y + 15x)

Option B : (10y + 3x) / (xy + 15x)

Option C : (3x + 5y)

Option D : (2x – 5y) / (5y + 3x)

Option A : (6y – 3x) / (x2y + 15x)

SAT Algebra Question No 31:

Y varies directly with X. If Y = 21 when X = 9, what is the value of Y when X = 15? Option A : (3x + 5) / (5x + 1)

Option B : -7(x + 4) / (x + 7)

Option C : -3(x + 5) / (x + 4)

Option D : (5x + 7)

Option B : -7(x + 4) / (x + 7)

SAT Algebra Question No 32:

If six more than five times a number is two less than seven times that number, what is the number?

Option A : -4

Option B : 4

Option C : 4

Option D : 6

Option C : 4

SAT Algebra Question No 33:

If the sum of the two numbers is 59 and the absolute difference is 23, what is the value of the larger of the two numbers?

Option A : 18

Option B : 23

Option C : 32

Option D : 41

Option D : 41

SAT Algebra Question No 34:

There are 300 marbles in bag consisting of two colors. if there are 80 more red marbles than blue marbles? How many blue marbles are in the bag?

Option A : 80

Option B : 110

Option C : 40

Option D : 190

Option B : 110

SAT Algebra Question No 35:

If 5 lemons plus 9 mangos costs \$6.70 and 8 lemons plus 7 mangos costs \$6.65, what is the cost of 7 lemons and 8 mangos?

Option A : \$6.60

Option B : \$6.75

Option C : \$6.85

Option D : \$6.90

Option C : \$6.85

SAT Algebra Question No 36:

John wants to buy, at most, 30 fruits consisting of apples and bananas. He does not want to spend any more than \$16.00. If an apple (a) costs \$0.45 and a banana (b) costs \$0.65, which of the following system of inequalities represents John’s situation?

Option A : a + b ≤ 30, 0.45a + 0.65b ≤ 16

Option B : a + b ≤ 30, 0.65a + 0.45b ≤ 16

Option C : a + b ≤ 16, 0.45a + 0.65b ≤ 30

Option D : a + b ≤ 16, 0.65a + 0.45b ≤ 30

Option A : a + b ≤ 30, 0.45a + 0.65b ≤ 16

SAT Algebra Question No 37:

Megan wants to build a rectangular fence with length (L) and width (W). She does not want the total amount of fencing to exceed a perimeter of 500 ft but she wants the area of the land to be greater than 14000 ft2. Which of the following system of inequalities best represents the situation?

Option A : 2L + 2W < 500, LW > 14000

Option B : L + W ≤ 250, LW > 14000

Option C : 2L + 2W ≤ 500, LW ≥ 14000

Option D : L + W > 250, LW > 14000

Option B : L + W ≤ 250, LW > 14000

SAT Algebra Question No 38:

A certain sample of bacteria doubles in number every hour. If there are 24 counts of bacteria in the sample, how many bacteria will there be after 7 hours?

Option A : 1536

Option B : 3072

Option C : 6144

Option D : 8215

Option B : 3072

SAT Algebra Question No 39:

The number of mosquitoes on an island is currently 1500. If this number triples every four hours, what will be the number of mosquitoes after 1 day?

Option A : 1093500

Option B : 364500

Option C : 3280500

Option D : 121500

Option A : 1093500

SAT Algebra Question No 40:

Lauren and Ricky are driving toward each other at a rate of 40 mph and 50 mph respectively. If they are currently 360 miles apart, how many hours will it take for them to pass each other?

Option A : 4 hours

Option B : 3 hours

Option C : 5 hours

Option D : 6 hours

Option A : 4 hours

SAT Algebra Question No 41:

Arnold spends 3 hours driving north at an average speed of 60 mph and 5 hours at an average speed of 70 mph in the same direction to Michigon. What is his average speed for the entire trip?

Option A : 64.25 mph

Option B : 68.15 mph

Option C : 65.32 mph

Option D : 66.25 mph

Option D : 66.25 mph

SAT Algebra Question No 42:

Luke travels at an average speed of 20 mph going to work. It takes him 2 hours to make the return trip home travelling at an average speed that is 10 mph faster than his morning commute. How long does it take Luke to drive to work?

Option A : 1 hour

Option B : 2 hour

Option C : 3 hour

Option D : 4 hour

Option C : 3 hour

SAT Algebra Question No 43:

A jar contains a total of 200 marbles consisting of red and blue marbles only. If the ratio of red to blue marbles is 3 : 5, then how many red marbles are in the jar?

Option A : 60

Option B : 75

Option C : 90

Option D : 105

Option B : 75

SAT Algebra Question No 44:

A jar contains nickels, dimes and quarters in a ratio of 2 : 3 : 5 respectively. If there are 85 quarters, how many more dimes are there in jar than nickels?

Option A : 17

Option B : 34

Option C : 51

Option D : 68

Option A : 17

SAT Algebra Question No 45:

Lisa took four chemistry exams and received an average score of 82. If she scores a 97 on her next chemistry exam, what will be her average for all five exams?

Option A : 83

Option B : 84

Option C : 85

Option D : 86

Option C : 85

SAT Algebra Question No 46:

Gerald’ average score for nine tests was 96. If the sum of the scores of two of his tests was 178, then what was his average for than seven test?

Option A : 95

Option B : 96

Option C : 97

Option D : 98

Option D : 98

SAT Algebra Question No 47:

If the average of eight numbers is 46 and the average of three of these is 51, what is the average of the other five numbers?

Option A : 42

Option B : 43

Option C : 44

Option D : 45

Option B : 43

SAT Algebra Question No 48:

There are 7 numbers in set X. The average of the first 2 numbers is 79 and the sum of the last 5 numbers is 290. What is the average of all 7 numbers in set X?

Option A : 59

Option B : 62

Option C : 64

Option D : 67

Option C : 64

SAT Algebra Question No 49:

The average of a list of 5 numbers is y. When an additional number is added to the list, the average of all 6 numbers is (y + 3). Which of the following is the value of the number added to the list in terms of y?

Option A : y + 18

Option B : y + 15

Option C : y + 12

Option D : y + 10

Option A : y + 18

SAT Algebra Question No 50:

Jessy read a total of 240 pages of a book over a two period. On Wednesday, she read 30 more pages than twice the number of pages she read on Tuesday. How many pages did she read on Wednesday?

Option A : 50

Option B : 70

Option C : 100

Option D : 130

Option B : 70

SAT Algebra Question No 51:

In 2008, the average rent price in a certain city for a 1 bedroom apartment was \$950. By 2018, the average rent price increased to \$1425. What is the percent increases in the rent price over the ten years period?

Option A : +40%

Option B : +45%

Option C : +50%

Option D : +55%