1/20
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?
2/20
Which of the following is the sine of angle A in the right triangle below?
3/20
Which one of the following expressions has an even integer value for all integers a and c ?
4/20
In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?
5/20
What is the slope of any line parallel to the line 9x + 4y = 7?
6/20
A neighborhood recreation program serves a total of 280 children who are either 11 years old or 12 years old. The sum of the children’s ages is 3,238 years. How many 11-year-old children does the recreation program serve?
7/20
What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock?
8/20
A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player?
9/20
Ms. Hernandez began her math class by saying:
I’m thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?
What is the 5th number Ms. Hernandez is thinking of?
10/20
If h(x) = x³ + x and g(x) = 2x + 3, then g(h(2)) = ?
11/20
How many irrational numbers are there between 1 and 6 ?
12/20
Ding’s Diner advertised this daily lunch special: “Choose 1 item from each column—only $4.95!” Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink. How many different daily lunch specials are possible?
13/20
In the standard (x,y)coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (–3,0) and (7,4) ?
14/20
An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?
15/20
Each of the variables t, w, x, y, and z represents a different positive real number. Given the equations below, which of the 4 variables w, x, y, and z necessarily has the greatest value?
1.23w = t
1.01x = t
0.99y = t
0.23z = t
16/20
What is the value of x when 2x + 3 = 3x – 4 ?
17/20
Which of the following expressions is the closest approximation to the height h, in feet, of the roof truss shown below?
18/20
When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y?
19/20
In the figure below, ∠ ABC ≅ ∠ DFE, ∠ BAC ≅ ∠ FDE, D and F are on AB, AD ≅ FB, and distances in centimeters are as shown. What is the length of AD, in centimeters?