Questions:
Linear Equations and Functions
Solve the equation. Round the result to the nearest hundredth, if necessary.
1. 11 + x = 21
2. 6 - ½x = 10
3. x + 3 - 4x = 12 + 2x
4. 3(x - 3) = x -(-2x + 9)
5. -12x + 15 = 0
6. 3.2x + 1.8 = -2.4x - 5.3
7. 8x - 2(3x + 1) = -(7x + 3)
8. Ax + By = C; for x
Rewrite the equations so that y is a function of x. Then create a function table for x = -2, -1, 0, 1.
9. 10x - y = 5
10. 2x + y = 5 - x
11. 3x - (2y + 3) = 1
Write an equation for each word problem. Solve the equation to answer the question.
12. The selling price of a pair of pants is $45. If the store profits $9.50 for each pair of pants they sell, then what price did the store pay for each pair of pants?
13. You estimate that you spend $475 on groceries each month. How much money do you spend on groceries each week (assume there are 4 weeks in a month)?
14. Consecutive integers are integers that follow each other in order (for example 5, 6, and 7). Find the three consecutive integers whose sum is 47.
15. A local gym charges nonmembers $15 per hour to use the tennis courts. Members pay a yearly fee of $400 plus only $5 per hour for using the tennis courts. Write and solve an equation to determine if you should become a member.