Algebra 1 (All Levels) Summer Math Packet. 2. Explain the difference between x 3 and 3 x Simplify: 49 2(16 11) 4.

Transcription

1 Name: Date: 1. Simplify: A. 4 B. 16 C. 8 D. 60. Explain the difference between x and x... Simplify: 14 + ( + ). A. 16 B. 167 C. 170 D Simplify: 49 (16 11) 4.. Find the value of the following expression:. 0 ( ) Simplify: + (7 ) + (7 ) ( + 1) 9 7 (4 + ) 4 = 7. A. 1 B. 1 C. 1 D Simplify: 4a a 8. A. 0 B. 6a 6 C. 0a D. 40a 9. Simplify: 0a 16a a + 7a Multiply: (x ) 10. A. x 1 B. 8x C. x + 1 D. x 11. Write as an equation: y is three more than x. 11. page 1

2 1. Translate the expression m + n into words Bernie was y years old last year. Which expression represents Bernie s age years from now? 1. A. (y + 1) + B. (y 1) + C. y + D. y Translate into a variable expression: more than twice a number n. 14. A. n + B. (n + ) C. + n D. (n + ) 1. Write the following equation as a sentence: y + x If three is added to five times the number n, the sum is 18. Write an equation to represent the sentence Write an expression for the cost of 4 computers and printers if computers cost m dollars each and printers cost n dollars each Use the formula D = rt to find the distance (D), when r = miles per hour and t = hours. 18. A. 7 mi B. 100 mi C. 110 mi D. 7. mi 19. Evaluate a bc when a = 4, b = 4, and c = Evaluate the expression x + 4y if x = and y =. 0. A. 1 B. 9 C. 11 D. 1. Evaluate ab + 4c if a =, b =, and c =. 1.. Explain how x x + and x(x + ) are different... Which of the following has the smallest value?. A. B. 4 C. ( ) D If r =, then (r) =? 4. page

3 . Use exponents to write: x x x. A. 6x B. (x ) C. x D. (x) 6. Use exponents to rewrite 1 as a power of Explain how the number 1 for multiplication is similar to zero for addition a b is defined for all real numbers a and b by a b = a + b. Is commutative? The equation 89n + (11n + 10n) = (89n + 11n) + 10n illustrates the. 9. A. addition property of zero B. addition property of opposites C. commutative property of addition D. associative property of addition = (8 ) + (8 ) is an example of which property? 0. A. Associative property of addition B. Distributive property C. Associative property of multiplication D. Commutative property of addition 1. The equation n 4 = 4 n illustrates the. 1. A. associative property of multiplication B. commutative property of multiplication C. multiplication property of one D. multiplication property of zero. Give a value for n so that 1 > n.. n. If n = 10 1, then n =?. A. 8 1 B. C. D. page

4 4. Solve: 7 + t = 0 4. A. 4 1 B. 9 C. D.. Solve: 7 x = Solve: n + 1 = A. 7 B. 9 C. 6 D Solve: 6n = Solve: n = 19 n 8. A. { 1} B. {1} C. {6} D. { 6} 9. Solve: 7x 4 = x Solve: x = x A. { 1} B. {1} C. { 1} D. { } 41. The ratio of weight on Earth to weight on the moon is 6 : 1. If you weigh 16 pounds on Earth, how much would you weigh on the moon? Which of the following is not a true proportion? 4. A. 10 = 7 B = 4 8 C. = 1 0 D. 4 in. 6 lb = in. 1 lb 4. If a cookie recipe makes dozen cookies, use proportions to determine the number by which each ingredient should be multiplied in order to make 90 cookies Solve: 1 = x A. {7.} B. {1.} C. {1} D. {0.7} page 4

5 4. What are the coordinates of point C? 4. A. (, ) B. (, ) C. (, 0) D. (0, ) 46. A group of friends rode to a concert together. Each ticket cost $10. They had to pay $ for parking. The total cost was $6. How many people went to the concert? Which equation could be used to solve this? 46. A. 10n + n = 6 B. 10n + = 6 C. n + 10 = 6 D. not enough information 47. Which is the multiple inverse of ( )? 47. A. B. 1 C. 1 D. 48. Simplify: A. B. C. 9 D Simplify: ( ) 49. A. 10 B. C. 10 D. 0. Which is an irrational number? 0. A. 4. B. C. 4 D Give an example of an irrational number between and Between what two integers does 88 lie?.. Simplify: 16. A. 0 B. 100 C. 80 D. 9 page

6 4. A clothing store offers a % discount on all shoes. How much would a pair of shoes which regularly sells for $48 cost during the sale? 4. A. $1 B. $6 C. $0 D. none of these. Explain why a 0% increase followed by a 0% decrease is always less than the original amount.. 6. An insurance agent receives a 4% commission on life insurance annuities. What is the commission on a $1,000 annuity? Last year, Central High School had 800 students. This year s enrollment dropped to 600. What was the percent of decrease? 7. A. 7% B. 1 % C. % D. 1 1 % 8. Before Randy started lifting weights, he weighed 100 pounds. Now, less than two years later, he weighs 1 pounds. Find the percent increase in his weight A jewelry store purchases a watch for $80 and marks it up 0%. What is the selling price of the watch? Write an inequality which has the solution set graphed Explain how the solutions of x + 4 = and x + 4 > differ Solve: x + 1 < Solve: 4x 1 x + 6. A. x > B. x C. x D. x 64. Solve: x 1 < A. 4 x < B. 4 x < C. x < D. x < page 6

7 6. If you are traveling at 0 mph you will travel 0 miles in 1 hour. If you travel for hours at 0 mph, how far will you travel? 6. A. 16 mi B. 10 mi C. 100 mi D. 00 mi 66. A rope is cut in half and one-half is used. When one-fourth of the remaining rope is cut off and used, the piece left is 16 feet long. How long was the rope originally? Explain your method and strategy for solving. 66. page 7