Pre-Algebra Blizzard Bag Number 3

Transcription

1 Name: Class: Date: ID: A Pre-Algebra Blizzard Bag Number 3 Multiple Choice Identify the choice that best completes the statement or answers the question. Express each ratio as a fraction in simplest form.. 34 laptops out of 6 computers a d Express each ratio as a unit rate. Round to the nearest tenth, if necessary miles in 2.5 hours a. 40 miles per hour 250 miles per hour d. 3. $75 for 5 football game tickets a. $40 per ticket $35 per ticket d miles per hour miles per hour per ticket per ticket 4. 5 inches of rain in 24 hours a. 2 inches per hour 0.2 inch per hour 0.3 inch per hour d. 20 inches per hour miles on 7.3 gallons a. 8.8 miles per gallon miles per gallon 88 miles per gallon d. 8.8 miles per gallon 6. $5 for 0 cans of soup a. $2.00 per can $0.05 per can $0.50 per can d. $5.00 per can 7. $ for 2 textbooks a. $0.02 per textbook $ per textbook $47.94 per textbook d. $4.79 per textbook Solve each proportion a d b = 6 9 a d. 36

2 Write a proportion that could be used to solve for each variable. Then solve balls in 2 boxes 78 balls in x boxes 2 a. = 78 ; x = 3 2 = 78 ; x = 2 2 x 2 x 2 = 78 ; x = 468 d. 2 = x ; x = x buttons in 4 packages 68 buttons in m packages 4 a. = 68 ; m = = 68 ; m = m 4 m 24 = 68 ; m = 28 d. 24 = m ; m = m d dollars for 8.4 quarts 24 dollars for 6 quarts 24 a. = 8.4 ; d = 7.8 d = 8.4 ; d = 73.6 d d = 8.4 ; d = 72 d. d = 6 ; d = The Empire State Building in New York City is 250 feet tall. It took 30,000 workers only year and 45 days to build, which is a record for a skyscraper. On a scale model of the building, the height is 25 inches. 3. What is the scale of the Empire State Building model? a. inch = 50 feet inch = 48 feet inch = 62.5 feet d. inch = 47 feet 4. What is the scale factor of the Empire State Building model? a % d. Express the percent as a fraction or mixed number in simplest form. a % a d d. 200 Express the fraction as a percent. Round to the nearest tenth percent, if necessary a. 200% 50% 0.5% d. 2% 2

3 a. 6.9%.6% 0.6% d. 6.5% Express each percent as a decimal % a % d % a % d Express each decimal as a percent a. 8.8%.88% 88 d. 88% a. 0.28% % d. 2.8% Use the percent proportion to solve each problem. Round to the nearest tenth is what percent of 20? a. 20% 500% 28.8% d. 24% is 75% of what number. a d What is 78% of 40? a d What is 0.5% of 84? a ,800 d What percent of 5 is 3.2? a. 56.3% 64% 0.6% d. 24% 28. The United States is the world s leading exporter of wheat with approximately 27.8 billion metric tons per year. Suppose Turkey exports 0% of the U.S. total. About how many metric tons are exported by Turkey? a. 8 billion 5 billion 8 billion d. 3 billion 29. A television that normally sells for $459 is on sale at a 30% discount. What is the sale price of the television? a. $32.30 $ $420 d. $

4 30. A board game that normally sells for $34.95 is on sale at an 8% discount. What is the sale price of the board game? a. $28.66 $4.24 $6.95 d. $6.29 Find the percent of increase. Round to the nearest tenth, if necessary. 3. from 5 lb to 3 lb a. 5.6% increase 93.8% increase 48.4% increase d. 06.7% increase Find the percent of decrease. Round to the nearest tenth, if necessary. 32. from $207 to $27 a. 63% decrease 258.8% decrease 38.6% decrease d. 63% decrease 33. A board is cut so that its length is changed from 8 feet to 6.5 feet. What is the percent of change in length? Round your answer to the nearest tenth, if necessary. a. 8.8% 8.8% 23.% d. 8.2% 34. When the new computer lab opened, there were 8 computers. By the end of first week, there were 25 computers. Find the percent of change in the number of computers? Round your answer to the nearest tenth, if necessary. a. 38.9% 38.9% 72% d. 33.3% Find four solutions of the equation. Write the solutions as ordered pairs. 35. y = 3x 6 Ï a. Ì Á 4, 3 ˆ, Á 7, 5ˆ, Á5, 24ˆ, Á 6, 2 ˆ Ó Ï Ì Á 4, 6 ˆ, Á 7, 5ˆ, Á5, 2ˆ, Á 6, 2 ˆ Ó Ï Ì Á 4, 6 ˆ, Á 6, 5ˆ, Á5, 2ˆ, Á 7, 2 ˆ Ó Ï d. Ì Á 4, 6 ˆ, Á 7, 5ˆ, Á5, 3ˆ, Á 4, 2 ˆ Ó 4

5 36. y = 4x + 4 Graph each equation by plotting ordered pairs. a. d. 5

6 37. 3x y = 4 a. d. 38. State the x-intercept and the y-intercept of the line. a. 5; 2 6; 2 4; d. 5; 3 6

7 39. Find the x-intercept and the y-intercept for the graph of the equation. x + 2y = 0 a. ; 5 9; 6 0; 5 d. 0; 4 Graph the equation using the x- and y-intercepts x + 2y = 6 a. d. Find the slope of the line that passes through the pair of points. 4. Á 7, 5 ˆ, Á, 8 ˆ a d , 5 Á 4, 5 ˆ a. 0 7 undefined 0 d

8 Find the slope of the line. 43. a. 0 d. undefined 44. a. 4 5 d. 2 State the slope and the y-intercept for the graph of the equation x y = 4 a. 2; 4 2; 3 ; 5 d. 4; 2 2 8

9 46. Graph each line with the given slope and y-intercept. slope = 6, y-intercept = 3 5 a. d. 9

10 47. Graph the equation using the slope and y-intercept. 2x + y = 4 a. d. Write an equation in slope-intercept form for the line. 48. slope =, y-intercept = 0 a. y = x + y = x y = x d. y = x + Write an equation in slope-intercept form for the line passing through the pair of points. 49. Á 2, 2 ˆ, Á 3, 5 ˆ a. y = 7x + 6 y = 7x 6 y = 7x 6 d. y = 7 x , 0 Á, 3 ˆ a. y = x 4 y = x 4 y = x + 4 d. y = x + 4 0