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Name:    Pre-Algebra Toolbox Test Review

Short Answer
		Evaluate each expression for the given value of the variable.
	1.	2x + 3 for x = 4
	2.	5(x + 2) – 3 for x = 9
	3.	Evaluate the expression for the given values of the variables. 2m + 4x for m = 11 and x = 4
	4.	The eighth-graders are raising money for their class trip by having a bake sale. If they sell n cupcakes at $0.35 apiece and x cookies at $0.25 apiece, then the total number of dollars raised at the bake sale will be . How many dollars will they raise if they sell 140 cupcakes and 210 cookies?
	5.	Write an algebraic expression for each word phrase. 4 times the sum of z and 14
	6.	If Salvador read 13 books from the library each month for x months in a row, write an expression to show how many books Salvador read all together. Evaluate the expression for x = 10.
	7.	If Aaron has saved 36 sand dollars and wants to give them away equally to p friends, write an expression to show how many sand dollars each of Aaron’s friends will receive. Evaluate the expression for p = 2.
	8.	If Humberto scored 22 points in the first half of the basketball game and he scored p points in the last half of the game, write an expression to determine the number of points he scored altogether. Evaluate the expression for p = 5.
		Write an algebraic expression to evaluate each word problem.
	9.	At a Saturday morning job, Felix stuffs 1128 envelopes with 2 pages each and must pack them into n boxes for easy transportation to the post office. If there are 12 boxes, how many envelopes should Felix put in each box?
	10.	Carmen collected a total of 75 shells in 4 days at the beach. She collected n shells in the last 2 days. If Carmen collected 14 shells in the last 2 days, how many shells did she collect in the first 2 days at the beach?
	11.	Determine which value of x is a solution of the equation. x – 8 = 10; x = 28, 19, 18 or 2
	12.	Solve m + 8 = 42. Check your answer.
	13.	In 2002, the temperature on the first day of summer was 79°F. This is 11°F less than it was the previous year on the first day of summer. What was the temperature on the first day of summer in 2001?
	14.	Solve 16s = 112.
	15.	Solve .
	16.	A city has a goal to reduce morning traffic by increasing the number of buses and reducing the number of automobiles with single occupants on the road. If the goal is to eliminate 1,008 cars with single occupants each morning and one bus can transport 28 people, how many more buses will the city need each day?
	17.	Solve 9y – 2 = 34.
	18.	Solve .
	19.	Compare. Write < or >.
	20.	Solve and graph the inequality n – 8.5 < 8.
	21.	Solve and graph the inequality 4x £ 20.
	22.	Solve and graph the inequality ³ 2.
	23.	Admission to Royal Point theme park for one day is $30, or you can purchase a season pass for $165. At least how many visits are necessary for it to be cheaper to buy a season pass than to pay for individual visits? Write and solve an inequality to answer the question.
	24.	Jenny is packing 2 suitcases for the flight to the national spelling competition. If the regulations require that they must weigh no more than 26 pounds combined, and the first one weighs 19 pounds, then what can the other suitcase weigh at most? Write and solve an inequality to answer the question.
		Combine like terms.
	25.	9x + 8 – 7x – 5
	26.	9x + 8z – 2x – 4z – 3
	27.	Simplify 9(6t + 4) – 3t.
	28.	Solve 7a – a = 54.
	29.	If Lydia puts 25 percent of each paycheck into a savings account, then the equation for the amount Lydia may spend is s = 0.75p, where p is the amount of the paycheck. How much will Lydia be able to spend if the amount of the paycheck is $120?
	30.	Give the coordinates of each point.
	31.	Graph each point on a coordinate plane. Label the points A–D. (2, 0), (–5, 2), (1, –1), (–1, –3).
	32.	Use the given values to make a table of solutions. y = 5x + 5 for x = 1, 2, 3, 4, 5, 6 x 1 2 3 4 5 6 5x + 5             y             (x, y)
	33.	Complete each table of ordered pairs. Graph each equation on a coordinate plane. y = 2x + 8 x 2x + 8 y (x, y) 1       2       3       4
	34.	If you can find the number of bones the dog buried in the backyard this week as compared to last week by using the equation b + 7 = 15, then did the dog bury 22 bones, 8 bones, or 9 bones this week? Show your work.
	35.	a. Write the inequality shown by the graph. b. Explain what the direction indicates on a number line and what the point indicates on this number line.
	36.	Combine like terms. Show your work. 9k + 4b – 7 – 5k + b