SAT math Linear&Parabola

9𝑥² + 𝑏𝑥 + 49 = 0

In the equation above, 𝑏 is a constant. If the equation has more than one real solution, which of the following could be the value of 𝑏?

• 7

• 21

• -42

• -53

Tags

CCSS.HSA-REI.B.4B

The quadratic equation 9𝑥² + 3 = 147 has two solutions. What is the sum of the solutions?

• -12

• 12

• 0

• 24

Tags

CCSS.HSA-REI.B.4B

𝑦 = 𝑥²

𝑦=𝑥

Which of the following ordered pairs (𝑥, 𝑦) is a solution to the system of equations above?

• (−1, −1)

• (−1,1)

• (1, −1)

• (1,1)

Tags

CCSS.HSA.REI.C.7

Which of the following equations is equivalent to

𝑥² +10𝑥+21?

• (x + 1) (x + 9) + 12

• (x + 1) (x + 9) + 12x

• (x + 3) (x + 7) + 5

• (x + 3) (x + 7) + 5x

A poster has an area of 432 square inches. The length x, in inches, of a poster is 6 inches longer than the width of the poster. Which of the following equations can be solved to determine the length, in inches, of the poster ?

• x²-6=432

• x²-6x=432

• x²+6=432

• x²+6x=432

Which of the following could be the graph of y=x²+2x+2 ?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

4v² + 6v + 1 = 0

Which of the following values is a solution to the

equation above?

• 
• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

Which of the following equivalent forms of the function f(x) = 4x² + 4x − 24 is the most suitable to indicate the x-coordinates of the x‐intercepts of the graph of y = f (x) in the xy‐plane?

• f(x)=4(x²+x−6)

• f(x)=4(x−2)(x+3)

• f(x)=2(x−2)(2x+6)

• f(x)=(2x−4)(2x+6)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

The graph of the function f in the xy-plane above is a parabola. Which of the following defines f ?

• f(x)=4(x-3)²+1

• f(x)=4(x+3)²+1

• f(x)=(x-3)²+1

• f(x)=3(x+3)²+1