Variables and Equations
The sum of two consecutive integers is 3. What is the average of the two numbers?
What is 1.5 or 3/2?
What is the slope of the line that passes through (-9,9) and the origin?
What is -1?
The sum of two integers is 20 and their difference is 5. What is the larger of the two numbers?
What is 12.5 or 25/2?
Two and two-thirds cups of sugar are required to make two-dozen cookies. How many cookies can be made with five cups of sugar?
What is 45?
What is 30% of 90?
What is 27?
If a+5=8, what is a multiplied by 9?
What is 27?
Find the sum of the x-intercepts and y-intercepts of the equation 3x - 5y =8. Express your answer as a common fraction in simplest terms.
What is 16/15?
If the sum of the squares of two integers is 25. What is the positive difference between the two integers?
Mark and John are working together to paint a wall. If Mark can paint a wall in 60 minutes, and John can paint a wall in y minutes. If both of them can do it in 30 minutes, what is the value of y?
What is 1 hour?
What is 47.6?
What is 0?
The graph of the equation y = 2x+b passes through the point (b,-3). Find b.
What is -1?
Shannon has a pocket full of quarters and dimes. If she has 18 coins for a total of $2.40, how many quarters does she have?
What is 4?
If the ratio of a:b is 3 to 5, what is ratio of a!:b! in simplest form?
What is 1:20?
A chocolate bar costed $5, now it costs $2.50. What is the price change?
What is 50%?
Find the equation x = y + 4 in terms of y.
What is y = x - 4?
What is slope of the line perpendicular to the graph of the equation 4x - 2y = 3?
What is - 1/2 or -0.5?
Shane thinks of three integers. Added two at a time, their sums are 37,41, and 44. What is the product of the three integers?
What is 8160?
The five interior angles in a Pentagon are in the ratio of 2:3:4:5:6. What is the measure of the pentagon's largest angle?
What is 162 degrees?
Barty brought a few pieces of candy to school. She gave 30% to her teacher, then gave 40% of the remaining candy to her best friend. Finally, she ate the remaining candy. If she gave 14 pieces to her best friend, how many pieces of candy did she eat?
What is 21?
Kris runs half of the distance to school averaging 6 mph . He jogs the rest of the way to school averaging 4 mph, and the whole trip takes him 25 minutes. How many minutes will it take him to run the same way home if he averages 8mph the whole way?
What is a quarter hour or 15 minutes?
What is the area of the right triangle bounded by the graph of the equation y = -2/3x+12 and both coordinate axes?
What is 108?
If a+e=9, b+e=7, c+e=5. Find c in terms of a & b.
What is (a-b+3)?
Rebecca Xu runs a mile each week. In each of the last 6 weeks her time has improved (decreased) by 2%, and she can run a quarter-mile in x seconds. Assuming her quarter mile time is a fourth of a regular mile time. If her time was 50 seconds, what is her quarter-mile time now?
What is 44.29
A jacket is on sale for 20% off its original price. At the register, a customer gets an additional 15% off the sale price. Finally, a 10% sales tax is applied to the discounted price. If the customer paid $61.71, what was the original price of the jacket?
What is $82.5?