ACT 1

• 11

• 12

Tags

CCSS.7.RP.A.2B

What is the greatest common factor of 42, 126, and 210 ?

• 2

• 6

• 14

• 21

• 42

Answer explanation

42 is the correct answer since it is the largest number that is a factor of all three numbers given. You can find the greatest common factor by writing out the prime factorization of all three numbers and then taking each of the common prime factors to the lowest power that appears for that factor: 42 = 2 × 3 × 7; 126 = 2 × 3² × 7; and 210 = 2 × 3 × 5 × 7. So the greatest common factor is 2 × 3 × 7 = 42.

• 6

• 24

• 27

• 30

• 57

Tags

CCSS.7.NS.A.3

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

• $44.44

• $109.08

• $118.80

• $408.04

• $444.40

Answer explanation

This is the correct answer. If you divide 2,727 miles by 27 miles per gallon you will get the number of gallons: = 101. Then, multiply the number of gallons by the cost per gallon: 101(4.04) = 408.04. This gives the cost of gas for this car to travel 2,727 typical miles.

Tags

CCSS.5.NBT.B.7

What is the value of x when 2x + 3 = 3x – 4 ?

• -7

• 1

• 7

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?

Tags

CCSS.6.EE.C.9

How many irrational numbers are there between 1 and 6 ?

• 1

• 3`

• 4

• 10

• Infinitely many

Tags

CCSS.8.NS.A.1

A train averages 60 miles per hour. If a ticket costs $0.05 per mile, which of the following is closest to how much the ticket would cost for this train to travel 1,200 typical miles?

• $30.00

• $60.00

• $90.00

• $120.00

• $150.00

Tags

CCSS.5.NBT.B.7

• 15

• 20

Tags

CCSS.7.RP.A.2B

• 8

• 16

• 18

• 20

• 72

Tags

CCSS.7.NS.A.3