ACT Math

The 4 integers j,j,k,n must have an average of 0. Which of the following equations must be true?

• k=n
• k=-j
• k+n=-2j
• k+n=0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Choose the letter that represents the missing length in the figure

• 12
• 10
• 7
• 6

Tags

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

Daphne always make sure to bring coupons to the store.  While shopping for cookies, she finds a box discounted by 12% from it normal price of $4.30. Daphne has a coupon that takes an additional 4% off the already discounted price.  After the sales tax of 6% on the final price, how much does Daphne spend on the box of cookies.

• $3.78
• $3.63
• $$3.85
• $3.59

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Which one of the following expressions has an even integer value for all integers a and c ?

• 8a+2ac
• 3a+3c
• 2a+c
• ac+a²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

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

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5

In a certain sequence of numbers, each term after the 1st term is the result of adding 2 to the previous term and multiplying that sum by 3.  If the 4th term in the sequence is 186, what is the 2nd term?

• 2
• 4
• 18
• 60

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

How many 4 letter orderings, where no letters are repeated, can be made using the letters of the word BADGERS

• 4
• 256
• 840
• 2401

Tags

CCSS.HSS.CP.B.9

The point (24,3) on a standard (x,y) coordinate plane is halfway between points (z, 2z+1) and (15z, z-4). What is the value of z?

• 1
• 1.5
• 3
• 7

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

At the company YouGroove, 35 employees work in the sales department and 50 employees work in the operations department.  Of these employees, 15 work in both sales and operations.  How many of the 110 employees at YouGroove do NOT work in either the sales or the operations departments?

• 10
• 15
• 35
• 40

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7