Math Algebra ACT Practice

Choose the letter that represents the missing length in the figure

• 12
• 10
• 7
• 6

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

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

• 4
• 256
• 840
• 2401

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

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

• -7
• -1/5
• 1/5
• 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?

• l = 2w + 3
•  l =  w – 3
• l = 2w – 3
•  l =  w + 3

What is the slope of any line parallel to the line 9x + 4y = 7 ?

• -9
• 7
• (9/7)
• -(9/7)

What type of number is 5/8?

• Rational
• Irrational
• both
• neither

Find the measure of ∠ACD. 

• 130
• 115
• 65
• 50

When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y ?

• 4
• 14
• 16
• 20