Area, Solving Systems of Equations & Inequalities (40 Problems)
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1. Write as a decimal.
2. Multiply. (-1)(5)
3. Give the coordinates of the point graphed below.
4. Solve. 8 - (4x - 3) = 19
5. A backyard has dimensions yards by yards. What is the area of the back yard in square yards (yd2)?
6. If a 4.4-pound bag of dog food costs $3.52, what is the cost per pound?
7. Multiply.
4xy3  2x2y  5xy2
8. Solve. 6x + 4(3x - 2) = 6x + 2
9. Find the mean and the median.
-9, -6, 5, 9, 12, 13
10. Find the slope of the graphed line.
11. Write the equation of the line with x-intercept (15, 0) and y-intercept (0, -5).
12. Bob invested $11,000, part at 20% and part at 13%. If the total interest at the end of the year is $1,990, how much did he invest at each rate?
13. List all the factors of 45.
14. Write the fraction in simplest form.
15. Add.
16. Convert to a fraction.
17. Change the fraction to a decimal.
18. Write the following phrase using symbols.
The product of 9 and z
19. Use the properties of addition and multiplication to complete the statement.
6 ? (2 + 17) = 6 ? ____ + 6 ? 17
20. Subtract.
21. Multiply.
22. If a = -5 and b = 0, evaluate 4a - b.
23. Solve. 3x - 7 = 2x + 8
24. Find the mean.
-7, -6, 4, 6, 12, 15
25. If the perimeter of a rectangle is 34 ft and the width is 9 ft, find its length. [Hint: The perimeter of a rectangle is given by P = 2L + 2W.]
26. One number is 6 more than another. If the sum of the smaller number and 3 times the larger number is 34, find the two numbers.
27. If the sales tax rate is 3% and the tax on a purchase is $18, what was the amount of the purchase?
28. Complete the ordered pairs for the equation 2x + y = 10.
(5, ), ( , 10), ( , -2), (0, )
29. Graph 3x + y = 3.
30. Graph y = 4.
31. Find the slope of the graphed line.
32. The line graph below shows the number of stray cats in a small town for the years listed.
(a) Which year had the greatest number of stray cats?
(b) Between which two years did the greatest increase in the number of stray cats occur?
33. Find the slope and y-intercept.
3x + 6y = -48
34. Write the equation of the line with slope 4 and y-intercept (0, -5). Then graph the line.
35. Graph the inequality.
y  3x
36. Graph f(x) = -2x + 4.
37. Solve the system by graphing.
x - 2y = 8
x + y = -1
38. The sum of two numbers is 33. Their difference is 9. What are the two numbers?
39. Solve the system by substitution.
3x - y = -7
x + y = -9
40. Solve the following system of linear inequalities by graphing.
x - 2y  4
x  1
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Solution Summary
Basic algebra problems are slved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
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