PSAT Practice Math Algebra

Which of the following ordered pairs satisfies both equations y=x^2+3x-4 and x=y-4 ?

• (0,-4)

• (2,6)

• (3,14)

• (5,9)

Tags

CCSS.HSA.REI.C.7

Which of the following is a solution to the equation 2x^2+4x=3+3x^2 ?

• -1

• 0

• 3

• 6

Tags

CCSS.HSA-REI.B.4B

-3x-4y=20
    x-10y=16

If (x,y) is the solution to the system of equations above, what is the value of x?

• -14

• -12

• -4

• 16

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The equation y=36 + 18x models the relationship between the height y, in inches, of a typical golden delicious apple tree and the number of years, x, after it was planted. If the equation is graphed in the xy-plane, what is indicated by the y-intercept of the graph?

• The age, in years, of a typical apple tree when it is planted

• The height, in inches, of a typical apple tree when it is planted

• The number of years it takes a typical apple tree to grow

• The number of inches a typical apple tree grows each year

Tags

CCSS.HSF.LE.B.5

• A
• B
• C
• D

Tags

CCSS.6.EE.A.4

Giovanni wants to buy shirts that cost $19.40 each and sweaters that cost $24.80 each. An 8% sales tax will be applied to the entire purchase. If Giovanni buys 2 shirts, which equation relates the number of sweaters purchased, p, and the total cost in dollars, y?

• 1.08(38.80+24.80p)=y

• 38.80+24.80p=0.92y

• 38.80+24.80p=1.08y

• 0.92(38.80+24.80p)=y

Tags

CCSS.8.EE.C.7B

A line is graphed in the xy-plane. If the line has a positive slope and a negative y-intercept, which of the following points cannot lie on the line?

• (-3,-3)

• (-3,3)

• (3,-3)

• (3,3)

Tags

CCSS.HSG.CO.C.10

If the equation above, where a is a constant, is true for all positive values of x and y, what is the value of a?

• 2

• 3

• 5

• 6

Tags

CCSS.HSF.IF.A.1

If the equation y=(x-6)(x+12) is graphed in the xy-plane, what is the x-coordinate of the parabola's vertex?

• -6

• -3

• 3

• 6