Grade 7 Math Exam Study Guide PDF

ANSWER KEY 280/4 = 70 pages per hour k= y/x , k = 45/3 = 15 , 75/5 = 15 , 120/8 = 15 so k = 15 unit rate = 48/4 = 12 ounces per jar Yes there is a proportional relationship: k = y/x , 36/3 = 12 , 72/6 = 12 , 84/7 = 12 The constant is 12 k = y/x , k = 24/1 = 24 , k = 48/2 = 24 , k = 72/3 =...

ANSWER KEY 280/4 = 70 pages per hour k= y/x , k = 45/3 = 15 , 75/5 = 15 , 120/8 = 15 so k = 15 unit rate = 48/4 = 12 ounces per jar Yes there is a proportional relationship: k = y/x , 36/3 = 12 , 72/6 = 12 , 84/7 = 12 The constant is 12 k = y/x , k = 24/1 = 24 , k = 48/2 = 24 , k = 72/3 = 24 , 96/4 = 24 The constant is 24 therefore there is a proportional relationship 2 1/2 cups of flour = (2 * 2 + 1) / 2 = 5/2 cups Unit rate = Total flour / Number of batches Unit rate = (5/2 cups) / 3 batches Unit rate = 5/2 * 1/3 = 5/6 cups/batch 1/2 x 2 = 1 mile , 20 x 2 = 40 minutes : 40 minutes per mile  The graph does not pass through the origin 5/10 = 1/2 , 10/20 = 1/2, k = 1/2 , y=1/2x , so Steve is correct Michaela : 120/10 = $12 per hour , Marcus : 19/2 = $9.50 per hour , Michaela earns more per hour 30/6 = 5 gallons per minute 5 x 60 = 300 gallons per hour 300 x 8 = 2400 gallons will be used k = y/x k = 20/3 y = 20/3x or y = 6.7x 6/25 = 24% Increase 24/100 = 24% Increase  8 x 0.25 = 2 ft 8 + 2 = 10 ft 12 000 x 0.3 = 3 600 12 000 - 3 600 = 8 400 60 x 0.2 = $12 60 - 12 = $ 48 50 x 0.3 = $15 11 000 x 0.35 = $3 850 11 000 - 3850 = $7 150  17.6 x 0.15 = $2.64 17.6 x 0.05 =$0.88 17.6 + 2.64 + 0.88 = $21.12 607500 x 0.045 = $27 337.50 1 670 x 12 = $20 040 27 337.50 + 20 040 = $ 47 377.50 Interest = $5,800 - $5,000 Interest = $800 T=I / PR 300 / (1000 x 0.03) 300/30 = 10 years  60 + 25 + 20 - 10 = $ 95 She will not have enough money 25 - 15 - 35 + 20 = $ -5 -20 + 50 = 30  3/8 + 1/4 = 3/8 + 2/8 = 5/8 , 5/8 x 240 = 150 ft 1/4 + 1/3 = 3/12 + 4/12 = 7/12 7/12 x 120 = 70 120 - 70 = 50 8 x 20 = 160 , 1/4 x 160 = 160/4 = 40 , 160 - 40 = 120 5/6 x 3/2 = 15/12 , 1 3/12 = 1 1/4 85/4.5 = 18.89 ft per minute 30 x 40 = 1 200 ft Underestimate because both dimensions are rounded down (1/3) / 6 =18 minutes per mile 18x4.9= 88.2 mins in hours = 88.2 / 60 = 1.47 hours Constant : 23 , Co-efficient : 7 and Variable : x P = (x + 4) + (3x - 4) + (2 - 2x) + (x - 1) + x Simplifying the Expression Let's combine like terms: P = (x + 3x -2x+ x + x) + (4 - 4 + 2 - 1) P = 4x + 1 3x + 7 = 49 3x = 42 x = 14 3x + 1 = 19 3x = 18 x=6  5x = 24 + 6 5x = 30 x=6 3x + 7 + 5x + 3 = 90 3x + 5x + 7 + 3 = 90 8x + 10 = 90 8x = 80 x = 10 3x + 8 + x + 4 = 180 4x + 12 = 180 4x = 168 x = 42