SAT/ACT Math Prep Day 4

Question 1

In the ﬁgure above, 3<a<5 and 6<b<8. Which of the following represents all possible values of c

Accepted Answer

1< c <13

Question 2

Let f(x)=ax2 and g(x)=bx4 for any x. If a and b are positive, for how many values of x is f=g?

Accepted Answer

3

Question 3

If a and b are numbers that (a−4)(b+6) = 0, then what is the smallest possible value of a2+b2?

Accepted Answer

16

Question 4

If (x + 1)2= 4 and (x−1)2= 16, what is the value of x?

Accepted Answer

-3

Question 5

Let m and n be positive integers such that m/3 is n less than m/2. What could be a value of m?

Accepted Answer

24

Question 6

An integer is subtracted from its square. The result could be which of the following?

Accepted Answer

The product of two consecutive integers

Question 7

How many integers between 10 and 500 begin and end in 3?

Accepted Answer

11

Questions 7