Find the slope of 2y-8 = 4x + 4. A. -2 B. 4 C. 2 D. 6
The answer is C. 2. We remember that slope intercept form is y=mx + b, where 'm' is the slope. Therefore, we must get the equation given into the same form. We start by adding eight to both sides in order to get 2y = 4x + 12. Afterwards, we divide by 2 to get y = 2x +6. This leaves '2' as our 'm', therefore, 2 is our answer.
Find the y-intercept of the following line: 4x + 2y = 16. A. 4 B. 8 C. 10 D. 12
The answer is B. 8. Finding the y-intercept requires plugging in 0 for the x-value and solving the equation for y. This can be seen through 4(0) + 2y = 16. Simplify this to get 2y = 16. To solve for y, you must divide both sides by 2, therefore y=8 is the answer.
Your car averages 20 mpg (miles per gallon). Assume gas costs $3.12 per gallon. Which of the following is closest to how much the gas would cost for this car to travel 7,380 miles? A. $105.28 B. $1,589.25 C. $1,151.28 D. $3,588.52
C. $1,151.28 is the correct answer. This problem requires understanding of units and being able to convert between them. We see that the problem asks us to find the cost of gas for 7,380 miles. If our car averages 20 miles per gallon, we can take 7,380 divided by 20 miles in order to find out how many gallons that would require. That calculation tells us 369 gallons. Afterwards, we know that since the cost is $3.12 per gallon, we must multiply 369 by $3.12, to receive $1,151.28. A calculator is highly recommended for this problem.