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SAT Math Unit 2: Advanced Math

12 questions

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Unit 2: Advanced Math

0 of 12 answered

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Question 1

Which of the following is a factor of $x^{2} - 9$ ?

(x + 3)^{2}

(x - 9)

(x - 3)

(x^{2} + 3)

Question 2

If $3 x + 7 = 4$ , what is the value of $x$ ?

x = 3

x = \frac{23}{3}

x = - 1

x = 9

Question 3

The expression $\frac{x ^{2} - 4}{x - 2}$ simplifies to which of the following, for $x \neq = 2$ ?

x - 2

x + 2

x^{2} - 2

x + 4

Question 4

Which of the following is the complete solution set of $x^{2} + 4 x + 5 = 0$ over the real numbers?

x = - 2 \pm 5

x = - 2

and

x = - 3

x = 2

and

x = - 3

D.No real solutions

Question 5

The graph of $y = a (x - 2)^{2} + 5$ is a parabola. If it opens downward, which of the following could be the value of $a$ ?

a = 3

a = 0

a = - 2

a = 1

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Question 6

Which expression is equivalent to $(2 x + 3)^{2}$ ?

4 x^{2} + 9

4 x^{2} + 12 x + 9

4 x^{2} + 6 x + 9

2 x^{2} + 12 x + 9

Question 7

A population of bacteria doubles every 3 hours. Starting from 500, which expression gives the population after $t$ hours?

500 \cdot 2^{t /3}

500 \cdot 2^{3 t}

500 \cdot 3^{t /2}

500 + 2 t

Question 8

What is $f (- 2)$ if $f (x) = x^{2} + 3 x - 4$ ?

- 6

6

- 14

10

Question 9

Which expression is equivalent to $\frac{1}{x - 3} + \frac{2}{x + 1}$ for $x \neq = 3$ and $x \neq = - 1$ ?

\frac{3}{( x - 3 ) ( x + 1 )}

\frac{3 x - 5}{( x - 3 ) ( x + 1 )}

\frac{3 x + 7}{( x - 3 ) ( x + 1 )}

\frac{3}{2 x - 2}

Question 10

If $2^{x} = 8^{x - 2}$ , what is the value of $x$ ?

x = 3

x = - 3

x = 6

x = 1

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Question 11

What are the solutions to the equation $x^{2} - 5 x + 6 = 0$ ?

x = 2

and

x = 3

x = - 2

and

x = - 3

x = 1

and

x = 6

x = 2

and

x = - 3

Question 12

The equation $x^{2} - 6 x + k = 0$ has exactly one real solution. What is the value of $k$ ?

6

9

12

3

SAT Math Unit 2: Advanced Math — Free with Answer Explanations | Test Practice Hub