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Name_______________________ Midterm Review Algebra 1 N-RN.3, A-SSE.1a, A-SSE.1b 1. What is the sum of 5 3 and 7 3 ? Is the sum rational or irrational? a. 12 3 ; irrational b. 12 3 ; rational c. 36 ; rational d. 36 ; irrational 3. At the museum, a child pays c dollars for a ticket and an adult pays g dollars. Explain in words the meaning of g 3c . a. An adult ticket costs a third as much as a child ticket. b. Three times as many child tickets as adult tickets are sold. c. Three times as many adults as children go to the zoo. d. An adult ticket costs three times as 3 7 and ? Is the 5 9 product rational or irrational? 2. What is the product of a. 5 ; irrational 7 b. 7 ; irrational 15 5 c. ; rational 7 d. 7 ; rational 15 much as a child ticket 4. At the baseball game, the number of people entering through Gate A is 3( x 2) and the number of people entering through Gate B is 4x 6 , where x 0 . Compare the number of people using Gate A with those using Gate B. a. More people entered through Gate A than through Gate B. b. Fewer people entered through Gate A than through Gate B. c. More information is needed to make a comparison. d. The number of people entering through Gate A was the same as through Gate B. 5. Marcy writes 2 letters a month for m months in a row. Write an expression to 8. Which problem could be solved using the inequality 2a 68 ? show how many letters Marcy writes in all. Then, find the number of letters Marcy a. Marty earned more than $68 for 2 writes if she writes for 4 months. hours work b. Sean bought 2 shirts and the total a. 2 m ; 6 letters b. 2 m ; -2 letters was at least $68 c. You and a friend split the check at a c. 2m ; 8 letters d. 2 ; 0.5 letters m A-CED.1, A-CED.2, A-CED.3 6. A parking lot holds 42 cars. There are 26 cars in the lot already. Which inequality can be solved to show all the numbers of cars c that can still park in the lot? A. 26 c 42 B. 26 c 42 C. 26 42 c D. 26 42 c restaurant that was $68 d. Juan bought 2 tickets to a concert for less than $68 9. Which problem could be solved using the inequality 9x 45 ? a. Jane earned at least $45 for 9 hours work b. Sophia bought 9 gift cards for $45 c. 9 friends went to dinner and the bill could be at most $45. d. The product of 9 and a number is less than or equal to 45 7. A printer holds 500 sheets of paper. When you are done printing there are 210 10. A campsite charges $12 per day for the site sheets remaining in the printer. Which rental and a flat rate of $8 for parking. equation can be used to find how many Which equation represents the total sheets were printed ? campsite charges, C, for, d, days? A. s 500 210 B. 210 500 s C. 210 500 s D. 500 s 210 a. b. c. d. 12C 8 d 8C 12 d 12d 8 C 8d 12 C 11. Rosita is hired as an intern at a law office. 14. What is the value of x? She gets $100 up front and makes $15 per 6x - 4 = 2(x + 3) hour. If h represents the number of hours she works and T represents the total A. x = amount of money she will make. Which equation correctly represents the situation? 5 2 B. x = 5 2 C. x = 2 5 a. T (100 15)h b. T 100 15h c. h 100T 15 d. h 100 15T D. x = 2 5 12. Susie’s salary is twice Mary’s and Joe’s is $50 less than Mary’s. The sum of their salary’s is $750 per week. How much does Mary make? A. $175 per week B. $266.67 per week C. $200 per week 15. What is the value of x? -2x + 3 = 3x - 2 A. x = 1 D. $400 per week B. x = 1 13. What is the value of x? 15 + 2x – 5 = 18 C. x = 5 A. x = -1 B. x = 1 C. x = 4 D. x = -4 D. x = 5 16. The formula for the area of a A-REI.1, A-REI.3, A-CED.4 rectangle is A = ℓw. Find a formula for w in terms of A and ℓ. 18. Susie is solving an equation. She shows her work below. A. w A - ℓ B. w A ℓ ℓ C. w A A D. w ℓ 17. The formula for the area of a triangle 1 bh . Find a formula for h in 2 terms of A and b. is A A. h A 2b B. h 2A b C. h 2b A b D. h 2A 5x – (11 + 3x) = 5 5x – 11 - 3x = 5 2x - 11 = 5 2x = 16 x=8 What did Susie do to the equation 5x – 11 – 3x =5 to get 2x – 11 = 5 ? A. add 11 to both sides B. Subtract 3x from both sides C. Combine like terms 5x and -3x D. Distributed -1 19. Is the equation 3 + 2(4x – 5) = 12 equivalent to 20x – 25 = 12 ? A. Yes, the equations are equivalent by the Associative Property of Multiplication B. Yes, the equations are equivalent by the Distributive Property of Multiplication over Addition. C. Yes, the equations are equivalent by the Commutative Property of Multiplication. D. No, the equations are not equivalent.