Geometry
Algebra
Functions
Essential Skills
Prob and stats
100

What is the slope of the linear equation 3x-2y-4=0?

What is 3/2?

100

In the complex number system, i2 = -1. What does (4 - i)(-2 + 5i) equal?

what is -3+22i?

100

If f(x) = 5x2 – 3x – 2, then f(-4) = ?

What is 90?

100

What is the average speed of six runners if their race times were, in seconds: 85, 67, 88, 75, 91, and 80?

What is 81 seconds?

100

Edward has a bag with three marbles in it. One is red, one blue, one orange. If he randomly selects two marbles without replacing them, what is the probability he selects first the orange then the blue?  

What is 1/6?

200

A square has a side length of 6 inches. What is the length of its diagonal?

What is 6√2?

200

3y−10+2y=15  

Find Y

What is Y=5?

200

Given f(x)=4x+1 and g(x)=x2−2, which of the following is an expression for f(g(x))?

What is 4x2-7?

200

Angela scores 17, 19, 13, 24, and 14 points in the first five games of a seven-game basketball season.  If the scoring leader in Angela’s league averages 18 points per game, how many points must Angela score in the final two games combined to end the season with the highest scoring average in the league AND have a higher scoring average than any other player?

What is 40?

200

Mara is stringing a necklace and she selects each bead at random from a basket of beads. If there are currently 5, yellow beads, 10 red beads, 15 green beads, and 20 blue beads in the basket, what are the chances that she will select a red bead next?

What is 1 in 5 chance?

300

A cube has a volume of 27 in3 . What is the length of each of its edges?

What is 3?

300

If 7+3x=22, then 2x=?

What is X=10?

300

For the function ℎ(x)=4x2−5x, what is the value of ℎ(−3)?

What is 51?

300

Find the median value of the set of numbers {10, 2, 34, 47, 17, 8}.

What is 13.5?

300

An 18 member committee has 4 officers. The committee needs a non-officer to take notes during the meetings and decides to select someone randomly. If Louis is a member of the committee, but NOT an officer, what is the probability that he will be selected to take notes?

What is 1/14?

400

 In two hours, the minute hand of a clock rotates through an angle equal to which of the following? 

What is 720 degrees?

400

The product (2x4y) (3x5y8) is equivalent to:

what is 6x9y9?

400

For the function h(x)= 4x2-5x, what is the value of h(-3)?

What is 51?

400

 In traveling from city A to city B, John drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was his average speed for the whole trip?

What is 57.5 mph?

400

You roll two 6-sided number cubes. What is the probability the first cube will show a 6 and the second cube will show a 2?

What is 1/36?

500

A square garden enclosed by a fence with perimeter 40 m is to be expanded so it includes 300 m2 more area but is still square. If the gardener can reuse the old fence pieces, what length of new fence must the gardener buy? 

What is 40m?

500

If x - y = 5 and x + y = 5, the y =?

What is 0?

500

Given F(x)=4x+1 and G(x)=x2-2, which of the following is an expression for F(g(x))?

What is 4x2-7?

500

The mean of five numbers is 40. The mean of the smallest two numbers is 25. What is the mean of the other three numbers?

 

What is 50?

500

You are playing a game that uses a deck of 20 cards numbered 1-20. The first four cards you draw are numbered 4, 12, 17, and 20. You do NOT return them to the deck. What is the probability that the next card you draw is numbered 12?

What is 0?