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A variety of topics related to solving linear equations and graphing linear equations. It includes questions on solving for an unknown variable when given an equation with fractions, identifying the equation of a line parallel to another line, finding the equation of a line given a point and the slope, simplifying polynomial expressions, and ordering letters to create a new sentence. Practice problems and explanations to help students develop their skills in these areas of mathematics. By studying this document, students can gain a deeper understanding of linear equations, their properties, and how to work with them effectively.
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If a ≠ b and 1/x + 1/a = 1/b, then x = A. 1/b - 1/a B. b - a C. 1/ab D. a - b/ab E. ab/a - b - E The graph of which of the following equations is a straight line parallel to the graph of y = 2x? A. 4x - y = 4 B. 2x - 2y = 2 C. 2x - y = 4 D. 2x + y = 2 E. x - 2y = 4 - C An equation of the line that contains the origin and the point (1, 2) is A. y = 2x B. 2y = x C. y = x - D. y = 2x + E. y/2 = x - 1 - A An apartment building contains 12 units consisting of one- and two-bedroom apartments that rent for $360 and $450 per month, respectively. When all units are rented, the total monthly rental is $4,950. What is the number of two-bedroom apartments? A. 3 B. 4 C. 5
If θ is an acute angle and sin θ = 1/2, then cos θ = A. - B. 0 C. 1/ D. √3/ E. 2 - D 5y(2y - 3) + (2y - 3) = A. (5y + 1) (2y + 3) B. (5y + 1) (2y - 3) C. (5y - 1) (2y + 3) D. (5y -1) (2y - 3) E. 10y (2y - 3) - B One ordering of the letters T, U, V and W from left to right is UTVW. What is the total number of orderings of these letters from left to right, including UTVW? A. 8 B. 12 C. 16 D. 20 E. 24 - E From 5 employees at a company, a group of 3 employees will be chosen to work on a project. How many different groups of 3 employees can be chosen? A. 3
D) apart, but would still be dependent - (A) In the modern world, groups of people may live thousands of miles APART AND STILL BE DEPENDENT on each other politically, culturally, and economically JOSE WANTED TO STUDY HE TRIED TO KEEP his roommates quiet; but he did not succeed. A) Jose wanted to study he tried to keep B) Jose wanted to study, he tried to keep C) Because he wanted to study, Jose tried to keep D) Jose wanting to study, and trying to keep - (C) BECAUSE HE WANTED TO STUDY, JOSE TRIED TO KEEP his roommates quiet; but he did not succeed. PREDICTIONS TWENTY YEARS AGO that the phonograph record was about to become obsolete have proven to be true. A) Predictions twenty years ago that B) Predictions twenty years ago, C) Twenty years ago, predictions that D) Predictions, twenty years ago - (A) PREDICTIONS TWENTY YEARS AGO that the phonograph record was about to become obsolete have proven to be true. WHEN YOU MOVE OUT OF AN APARTMENT BEFORE THE CONTRACT EXPIRES, THIS is an example of breaking a lease. A) When you move out of an apartment before the contract expires, this B) You move out of an apartment before the contract expires, this C) Moving out of an apartment before the contract expires D) The fact that you move out of an apartment before the contract expires - (C) Moving out of an apartment before the contract expires is an example of breaking a lease KNOCKED TO HIS KNEES, THE QUARTERBACK LOOKED as if he were in pain.
A) Knocked to his knees, the quarterback looked B) The quarterback was knocked to his knees, looked C) The quarterback looked knocked to his knees D) The quarterback, looking knocked to his knees, - (A) KNOCKED TO HIS KNEES, THE QUARTERBACK LOOKED as if he were in pain YESTERDAY THE PRESIDENT ANNOUNCED THAT HE WOULD RETIRE FROM POLITICAL LIFE, TO AMAZED REPORTERS A) Yesterday the President announced that he would retire from political life, to amazed reporters. B) Yesterday the President announced that he would retire from political life, amazing reporters. C) The President, to the amazement of reporters, announced that he would retire from political life yesterday. D) Yesterday the President announced to amazed reporters that he would retire from political life. - (D) Yesterday the President announced to amazed reporters that he would retire from political life. Mr. Wilson PLANNNG to teach a course in physics next fall a. planning b. are planning c. with a plan d. plans - plans Using the spell checker, she eliminated a number of errors on her paper. rewrite Whole sentence, beginning with..
These BOOKS, WHICH WAS PUBLISHED IN THE LATE EIGHTEENTH CENTURY, are very valuable. a. books which was published in the late eighteenth century b. books in the late eighteenth century c. books which were published d. books, which is published, in the eighteenth century - books which were published
The best choice will be a. Good money managers, because they control their present expenses, they invest surplus dollars to meet their future needs. b. Because good money managers control their present expenses, they invest surplus dollars to meet their needs. c. Because good money managers control their present expenses they invest surplus dollars to meet their needs. d. Good money managers control their present expenses, because they invest surplus dollars to meet their future needs. - b. Because good money managers control their present expenses, they invest surplus dollars to meet their needs. In a large city, you may have massive traffic jams on your daily commute to work. Rewrite this sentence omitting YOU. a. In a large city, a person may have massive traffic jams on your daily commute to work. b. In a large city, a resident may have massive traffic jams on his daily commute to work. c. In a large city, massive traffic jams may be part of the daily commute to work. d. In a large city, massive traffic jams may be part of the everyday commute on the way to work. - In a large city, massive traffic jams may be part of the daily commute to work. PANTING, THE CAB PULLED AWAY just as Judy arrived. a. Panting, the cab pulled away b. The cab pulled away panting
fire extinguishers. "PICK LETTER" a. Chief Harrigan was invited to our safety meeting, he can demonstrate the correct use of fire extinguishers. b. Chief Harrigan was invited to our safety meeting, therefore, he can demonstrate the correct use of fire extinguishers.. c. Chief Harrigan was invited to our safety meeting; therefore to demonstrate the correct use of fire extinguishers. d. Chief Harrigan was invited to our safety meeting so that he can demonstrate the correct use of fire extinguishers. - d
Rewrite, beginning with WE TOURED GENERAL GRANT'S ... The next words should be a. home, it is in Illinois. b. home, and it is in Illinois. c. home; in Illinois. d. home visiting in Illinois. - (B) We toured General Grant's home, and it is in Illinois.
a. as is the knowledge of basic decorating. b. as knowing the basics of decorating. c. but the knowledge of basic decorating. d. like the knowledge of basic decorating. - B
-Most people collect Star Wars toys for sentimental reasons. -Some people collect them strictly to make money. What is the relationship between the two sentences? A. Cause & Effect B. Contrast C. Repetition D. Statement & Example - B
the U.S. handles such a large volume of mail is the large number of personal letters American citizens write. Personal letters do not require a strict format, but they do have a few guidelines. The date should be written at the top of the letter, either in the center or in the right-hand corner. The salutation, "Dear ____," should begin the letter and should be followed by a comma instead of a colon which is used in the salutation of a business letter. The body of the letter should sound like you, and say the things you intend to say. - C
Scuba diving is the most exhilarating experience I have ever had. The first time I went, the dark mirror of the water beckoned me to drop from the side of the boat. I jumped feet first and entered a brightly colored world populated with fish, plants, and objects I had never dreamed of. Which of the following best describes the mood of the author after having this experience? A. Bored B. Anxious C. Excited D. Serena - C
Experienced truck drivers often travel in a convoy - a group of trucks that are traveling to the same part of the country. Convoys can help truckers to stay alert. The author implies that professional long-distance truck drivers may avoid traveling alone because: A. They might drive too fast. B. They want to arrive before anyone else. C. Accidents happen more frequently to lone truck drivers than to car drivers who travel alone. D. Long-distance travel can cause drowsiness. - D