Algebra
Combine like terms: 5x + 2y - 3x + 8y + 4x - 10y
6x
The point (-1, 0) is the solution to the system of two equations. Which two equations are in this system?
-x = 1 - 3y and 3y = x - 3
y = x + 1 and y = -1/2x - 1/2
4y = x + 1 and 2x = 8y - 2
y = x + 1 and y = -1/2x - 1/2
A ticket is increased from $24 to $52. What was the percent of increase in price? Round to the nearest tenth.
116.7% increase
What is the value of the following expression:
| 3 - 9| - | 2 - 8| =
0
Find the missing angle in a pair of complementary angles if one angle = 42 degrees.
48 degrees
Write an equivalent expression: 1/8(24x + 32)
3x + 4
Find the intercepts of 9x + 3y = 27
(3,0) (0,9)
Are the following ratios proportional? If so, what is the constant of proportionality?
$18/2
$36/4
$45/5
Yes, the constant of proportionality is 9.
Order the numbers from least to greatest:
44%, 0.4...., 4/11, 4.004
4/11, 44%, 0.4...., 4.004
Find the missing angle in a pair of supplementary angles if one angle is 35 degrees.
145 degrees
Solve: 72 + x = 282
x = 210
Find the slope of the line through the points:
(-3,6) and (-1, 2)
m = -2
What is the equation of a line that has a unit rate of 9?
y = 9x
Raymond took a survey of 40 students and found that 18 enjoyed the school lunch. Based on this survey, approximately how many students out of 1000 enjoy the school lunch?
450 students enjoy the school lunch.
A circular sign has a diameter of 5.6 feet. Which is closest to the circumference of the sign?
C = 17.6 feet
Write an equivalent expression: -4(-2x) + 8(-30)
8x + (-240)
Identify the slope and the y-intercept of the line
24x + 4y = 80.
m = -6 and y-intercept = 20
What is the balance after 2 years if the Juan invested $200 at a 6% interest rate?
$224
Jim has the following choices for lunch: Sandwich - turkey, ham, salami, roast beef and tuna, Beverages - Orange juice, Apple juice, Lemonade, Milk and Gatorade. If he randomly selects 1 sandwich and 1 beverage what is the probability that Jim will select a turkey sandwich and a lemonade?
1/25
If a circle is inscribed inside a square and the radius of the circle is 5 inches, what is the area of the circle? Use 3.14 for pi.
Area = 78.5 in2
Solve: -1/5x + 2/25 = 55
x = -274 3/5
Identify which pair has no solution, one solution and infinitely many solutions:
1) y = 4x + 2 and y = x + 2
2) -3x + y = -1 and y = 3x + 4
3) 2x - y = -3 and -4x + 2y = 6
1) y = 4x + 2 and y = x + 2 (0,2)
2) -3x + y = -1 and y = 3x + 4 No Solution
3) 2x - y = -3 and -4x + 2y = 6 Infinite Solutions
During a sale, a store offered a 25% discount on a particular camera that was originally priced at $625. After the sale, the discounted price of the camera was increased by 15%. What was the price of the camera?
$539.06
How many ways can you arrange 5 books on a shelf?
5! 120 ways
If a pentagon has a height of 60 inches and a length of 30, What is the total area of the pentagon? The rectangular part of the pentagon is a square.
A = 450 in2 + 900 in2 = 1,350 in2