Review of Math SAT/ACT 1

Question 1

If 0 < n < 1, which of the following gives the correct order for √n, n, and n2?

Accepted Answer

n2 < n < √n

Question 2

If 3x = 0, what is the value of 1 + x + x2?

Accepted Answer

1

Question 3

If (x + y)2 = 100 and (x - y)2 = 16, what is the value of xy?

Accepted Answer

21

Question 4

If x is an odd integer, which of the following represents the next odd integer greater than x?

Accepted Answer

x + 2

Question 5

In the xy-plane, what is the area of the square with opposite vertices at (-2, -2) and (2, 2)?

Accepted Answer

16

Question 6

Two sides of a triangle are each 5. Which could NOT be the third side?

Accepted Answer

10

Question 7

When twice a certain number is increased by 5, the result is 14. What is the number?

Accepted Answer

4.5

Question 8

If x = 4, which of the following is greatest in value?

Accepted Answer

(x + 1)(x + 2)

Question 9

If the average (arithmetic mean) of x, 5x and 6x is 8, what is the value of x?

Accepted Answer

2

Question 10

What is the least value of x that satisfies the equation |x - 3| = 1/2

Accepted Answer

2.5

Question 11

If a = 4, which of the following is equivalent to am2 + am + a?

Accepted Answer

4(m2 + m +1)

Question 12

If √(2p) = √(18), what is the value of p?

Accepted Answer

9

Question 13

If k + n < k, which of the following must be true?

Accepted Answer

n < 0

Questions 13