ACT/SAT Math Prep #4

The following consecutive integers add up to 447.  What is the value of x?
x - 2
x - 1
x
x + 1
x + 2
x + 3

• 72
• 73
• 74
• 75

Tags

CCSS.8.EE.C.7B

What values are the solutions for x² + 2x = 8?

• -4 and 2
• -2 and 0
• -2 and 4
• 6 and 8

Tags

CCSS.HSA-REI.B.4B

Cube A has an edge length of 2 inches.  Cube B has an edge length double that of Cube A.  What is the volume, in cubic inches, of Cube B?

• 8
• 16
• 32
• 64

Tags

CCSS.8.EE.A.2

(3x³)³  is equivalent to:

• 27x⁶
• 9x⁹
• 3x⁶
• 27x⁹

Tags

CCSS.HSA.APR.A.1

Which of the following is equivalent to the inequality  4x - 8 > 8x + 16?

• x > -6
• x < -6
• x < -2
• x > 2

What rational number is halfway between 1/5  and  1/3?

• 1/2
• 2/15
• 4/15
• 8/15

Tags

CCSS.6.EE.B.5

Tom has taken 5 of 6 equally weighted tests in his History class, and he is currently averaging a 78%.  How many points does he need to score on the 6th test to raise his average to exactly 80%?

• 90
• 88
• 82
• 80

Tags

CCSS.7.EE.B.4A

A cafeteria offers 4 choices of main dish, 3 choices of sides and 5 choices of drink.  How many possible meal combinations are there if you can choose 1 main, 1 side and 1 drink?

• 20
• 60
• 80
• 40

If x is divisible by 3 and y is divisible by 5, which of the following must be divisible by 15?
I.  xy          
II.  3x + 5y
III.  5x + 3y

• I only
• I and II only
• I and III only
• I, II, and III

In a set of 5 points, the mean, median, and mode are each equal to 8.  Which of the following could be the data set?

• 5,7,8,8,12
• 7,7,8,8,12
• 7,8,8,8,12
• 7,8,8,10,12