Name: Honors Pre-Algebra
Date:Unit 3 TEST Review
Directions: Simplify each algebraic expression completely.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
Directions: Solve each equation for the given variable.
11. 12. 13.
14. 15.
16. 17.
18. 19.
20. 21.
22. 23.
24. 25.
26. 27.
Directions: Solve each inequality for the given variable. Graph your solution on the line provided.
28. 29.
30. 31.
32. 33.
34. 35.
Directions: Read each word problem carefully. Write an equation or inequality to solve each problem. Be sure to complete everything the problem asks of you, and show all of your work.
36. A family wants to hold a reunion party at a restaurant. The restaurant charges $150 to rent a private room for the party. The food cost for each person at the party is $35. Write and solve an equation to find how many people can come to the party if the family has $1620 to spend.
Equation:
Solution: ______
37. Two numbers’ total sum is 351. The second number is 118 less than six times the first number. What are the values of the two numbers?
First Number:______Second Number: ______
38. You have 206 sheets of paper. That amount is 54 less than double what you started with. Write and solve an equation to determine how many sheets you had to begin with.
Equation:
Solution: ______
39. The perimeter of a triangle is 544 inches. The second side is 5 more than twice the first side. The third side is four times the first side. What are the lengths of all three sides?
Side 1:______Side 2:______Side 3:______
40. The length of a rectangle is five centimeters longer than twice its width. If the perimeter of the rectangle is 196 centimeters, find the area of the rectangle.
Area:______
41. Three numbers have been randomly chosen. It is known that the second number is three less than seven times the first number. The third number is five times the second number. If the three numbers sum to 713, find the three numbers.
Number 1:______Number 2:______Number 3:______
42. Three girls of different ages are in a room together. The sum of their ages are 90 years. The oldest girl is 19 years less than four times the youngest’ age. The middle girl is 3 less than double the youngest’ age. Find the ages of the three girls.
Youngest:______Middle:______Oldest:______
43. A city is building a fence around a rectangular playground. If the perimeter of the playground is 98 feet and the length of one side of the fence is 31 feet, what is the width of the playground?
Width:______
44. Ed is on a road trip. He has already traveled 225 miles and is driving at a rate of 63 miles per hour. Write and solve an equation that could be used to find how many hours, x, Ed has left in his road trip if he is traveling 698 total miles?
Equation:
Solution:______
45. Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multiplied the sum by 2, it would equal 8. Write and solve an equation that Stephanie could use to find the number, x?
Equation:
Solution:______
46. Amy has to write a paper for school that has more than 3,339 words. She has already written 1,246 words and writes at a rate of 299 words per day. Write and solve an inequality that could be used to solve for x, the number of days it will take Amy to finish her paper?
Inequality:
Solution:______
47. Tammy must run more than 75 miles total to reach her fitness goals. She has already run 35 miles and runs 5 miles per day. Write and solve an inequality that could be used to solve for x, the number of days Tammy needs to run to reach her fitness goals?
Inequality:
Solution:______
Directions: For the multiple choice questions below, read each problem carefully, and circle your answer choice below each problem.
48. Riley is saving up to buy a new television. She needs a total of $1,274.37. Riley has saved $200.57 already and earns $82.60 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
A. 12 B. 11 C. 14 D. 13
49. Jinny is selling bracelets for $3.50. So far, she has earned $308.00. She needs to earn more than $378.00 in order to meet her goal. How many more bracelets, x, does she need to sell in order to reach her goal?
- x > 108 B. x > 20 C. x > 88 D. x > 196
50. The perimeter of a rectangle is 48 inches. If the width of the rectangle is 10 inches, what is the length?
- 24 inches B. 28 inches C. 38 inches D. 14 inches
51. A basketball team needs to score more than 760 total points this season to set a new record. The team has already scored 157 points and it averages 67 points per game. How many more games does the team need to play in order to set a new record?
A.)
4 / 5 / 6 / 7 / 8 / 9 / 10 / 11 / 12 / 13 / 14 / 15 / 16
B.)
4 / 5 / 6 / 7 / 8 / 9 / 10 / 11 / 12 / 13 / 14 / 15 / 16
C.)
4 / 5 / 6 / 7 / 8 / 9 / 10 / 11 / 12 / 13 / 14 / 15 / 16
D.)
4 / 5 / 6 / 7 / 8 / 9 / 10 / 11 / 12 / 13 / 14 / 15 / 16
52. Factor the expression below completely.
-8x - 16
A.) -4(2x - 4) B.) -8(x + 2) C.) -8(x - 2) D.) -4(2x + 4)
53.) Which algebraic expression is equivalent to the expression below?
5(5x + 4) + 4(11 - x)
A.) 21x + 24 B.) 21x + 64 C.) 21x - 64 D.) 29x + 64
54.) The Spanish Club needs to raise at least $800 in order to be able to go on their field trip to Las Margaritas. They are selling churros for $2.50 each at lunches. They have already earned $540. Write and solve an inequality to show the minimum number of churros that need to be sold in order for the Spanish Club to meet their goal.
Inequality:
Solution:______