ACT practice test- 1B
which of the following expressions is a factor of x^3 - 64?
x - 4
When x = 3 and y = 5, by how much does the value of 3x2 - 2y exceed the value of 2x2 - 3y ?
14
If X+Y=13 and 2y=16, what is the value of x?
5
What is the value of x when 2x + 3 = 3x - 4 ?
7
ow many irrational numbers are there between 1 and 6 ?
Infinitely many
which of the following lines has a negative slope?
7y = 3x - 7
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?
$408.04
In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?
110
In the standard (x,y) coordinate plan, if the x-coordinate of each point on a line is 5 more than half the y-coordinate, what is the slope of the line?
2
the 3rd and 4th terms of an arithmetic sequence are 13 and 18 respectively. What is the 50th term of the sequence?
248
Three years ago, the population of a certain species of bird was calculated at 20 birds per acre. This year, a biologist recorded a total of 47 birds in an area equal to 3.25 acres. By about what percentage had the bird population in the biologist's sample decreased over the last 3 years, to the nearest tenth?
27.7%
The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420. What is the sum of the 4 scores that are NOT the median?
336
What is the greatest common factor of 42, 126, and 210 ?
42
In the (x,y) coordinate plan, what is the y-intercept of the line 5x +3y=8?
8/3
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
A rectangular garden has a length of X and a width of y. The garden has its length reduced by 3 feet and its width extended by 2 feet. What is the area of the new garden?
(x-3)(y+2)
for some real number n, the graph of the line y= (n+1) x+6 in the standard (x,y) coordinate plane passes through (4,8). What is the value of n?
-1/2
what is the slope of the line given by the equations 21x - 3y + 18 = 0
-3
what is the slope of the line through (-2,1) and (2,-5) in the standard (x,y) coordinate plane?
-3/2
What are the values for a that satisfy the equation (a+y)(a+z)=0?
-y and -z
In a certain music store, CD's were put on display and assigned prices for May. Each month after that, the price was 20% less than the price for the previous month. If the price of a CD was d dollars in May, what was the price in August?
0.512d
A room has a rectangular floor that is 15 feet by 21 feet. What is the area of the floor in square yards?
35
Amy can run 3.5 miles in x minutes. At that pace, how many minutes would it take her to run 10.5 miles?
3x
what is the slope of a line that is parallel to the line determined by the equation 5x - 4y = 8
5/4
The sum of 2 positive numbers is 151. The lesser number is 19 more than the square root of the greater number. What is the value of the greater minus the lesser number?
91
