SAT Algebra Questions

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Question 1

Translate the following word problem into an equation:

Twice a number decreased by 5 is equal to 15.

  • 2x+5=15

  • 2x−5=15

  • x−5=2

  • 2x+15=5

Question 2

Solve the linear equation: 3x+7=22

  • x=5

  • x=3

  • x=7

  • x=4

Question 3

Solve the system of equations:

2x+y=10

x−y=3​



  • x=2,y=4

  • x=5,y=3

  • x=4,y=2

  • x=3,y=1

Question 4

Interpret the linear equation in context:

The cost C of renting a car is given by C=40+0.25m where m is the number of miles driven. What does the number 40 represent?

  • The cost per mile

  • The total cost

  • The base rental fee

  • The mileage limit

Question 5

Understand the graph of the equation:

"Which of the following points lies on the graph of the equation y=2x+3?"

  • (1, 5)

  • (2, 5)

  • (0, 3)

  • (3, 9)

Question 6

If x represents the number of apples, and y represents the number of oranges, and x+y=10, and 2x−y=6, what is x?

  • x=4.33

  • x=5.33

  • x=5

  • x=6.33

Question 7

Which of the following inequalities is true for all 𝑥 > 2 ?

  • [Tex]x^2>4x[/Tex]

  • [Tex]x^2 < 4x[/Tex]

  • [Tex]4^2≥4x[/Tex]

  • [Tex]x^2 ≤ 4x[/Tex]

Question 8

If [Tex]f(x)=2x ^2 −3x+1 [/Tex], Find f(2).

  • 1

  • 3

  • 5

  • 7

Question 9

If 3x=5y, what is the ratio 𝑥 /𝑦 ?

  • 3/5

  • 5/3

  • 2/3

  • 3/2

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