1. In the given amount of time, James drove Solve the equation and check your solution -2 -4x=30
2. Solve the equation and check your solution: 67x-24=3x+8(8x-4)
3. Solve the equation and check your solution. 5x/2-x/6=14
4. Solve the quadratic equation by factoring: x^2-6x+5=0
5. The imaginary number i represents?
6. Find real numbers a and b such that the equation is true: a+bi=14+2i
7. Twice as far as Rachel. Altogether they drove 120 miles. Write the equation to help find the number of miles driven by each. Use R as the variable to represent miles driven by Rachel and J for James' miles.
8. Karen works for $10 an hour. A total of 25% of her salary is deducted for taxes and insurance. She is trying to save $450 for a new set of tires. Write the equation to help determine how many hours she must work to take home $450 if she saves all of her earnings. Be sure to save the equation you write, as you will use it to answer the next question in this quiz.
9. Using the equation you wrote in the previous problem, find the actual amount of hours Karen must work to take home $450 if she saves all of her earnings. Show your work.
10. The length of a rectangular map is 15 inches and the perimeter is 50 inches. Find the width.
11. Hint: Perimeter = width + length + width + length
12. Twice a number is added to the number and the answer is 80. Write the equation to solve this problem.
13. If 4 is subtracted from twice a number, the result is 10 less than the number. Write the equation to solve this problem. Use n as the variable to represent the number.
14. Multiply the following binomials:
15. (x+5)(x-5)
16. Evaluate the expression 2x-2 for the value of Y x= -3