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Algebra 1 Fall Objective Review 2013. Continued… day 2. Evaluate: -5x + 14 – 2x 2 when x = 3. -5x + 14 – 2x 2 when x = 3 -5(3) + 14 – 2(3) 2 -5(3) + 14 – 2(9) -15 + 14 – 2(9) -15 + 14 – 18 - 1 – 18 -19. Evaluate: 15+|1-k| when k = 8. 15+|1-k| when k = 8 15+| 1-8| 15 +|-7|
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Algebra 1 Fall Objective Review 2013 Continued… day 2
Evaluate: -5x + 14 – 2x2 when x = 3 • -5x + 14 – 2x2 when x = 3 • -5(3) + 14 – 2(3)2 • -5(3) + 14 – 2(9) • -15 + 14 – 2(9) • -15 + 14 – 18 • -1 – 18 • -19
Evaluate: 15+|1-k| when k = 8 • 15+|1-k| when k = 8 • 15+|1-8| • 15+|-7| • 15+7 • 22
Solve the equation • m = -48
Solve the equation • 17 = 4x – 7 • +7 +7 • 24 = 4x • 4 4 • 6 = x
Solve the equation • -9 -9 • -1n = 57 • -1 -1 • n = -57
Solve the equation • 16w – 10w + 13 = -5 • 6w + 13 = -5 • -13 -13 • 6w = -18 • 6 6 • w = -3
Solve the equation • 4h – 13 = 7h + 2 • -7h -7h • -3h – 13 = 2 • + 13 = 13 • -3h = 15 • -3 -3 • h = -5
The perimeter P of a rectangle is given by the formula P = 2l + 2w where l is the length and w is the width. • Solve the formula for l. • P = 2l + 2w • -2w -2w • P – 2w = 2l • 2 2 2
The perimeter P of a rectangle is given by the formula P = 2l + 2w where l is the length and w is the width. • Use the rewritten formula to find the length of a rectangle with a width of 9 inches and a perimeter of 40 inches. • 20 – 9 = l • 11 = l
Solve each proportion • x(32) = 8(12) • 32x = 96 • x = 3
Solve each proportion • 15(3k-2) = 21(5) • 45k – 30 = 105 • +30 +30 • 45k = 135 • x = 3
Joy rented a car for 3 days. The rental fee was $25.00 per day and $0.25 per mile. • Create a table to show the total cost of the rental if Joy drove 100 miles, 125 miles, 200 miles, 250 miles, and 300 miles. 100 $50.00 125 $56.25 $75.00 200 $87.50 250 $100.00 300
Joy rented a car for 3 days. The rental fee was $25.00 per day and $0.25 per mile. • What is the dependent variable? • Cost depends on miles driven, so cost is dependent. • What is the independent variable? • Since cost is dependent, miles will be independent. • What is the domain? • Domain (independent) will be positive values because you cannot drive negative miles.
Joy rented a car for 3 days. The rental fee was $25.00 per day and $0.25 per mile. • What is the range? • Range (dependent) will begin at 25 and go up, so range is y ≥ 25. • What is the y-intercept? • When x = 0, y = 25. • What does the slope represent? • Slope represents the change in cost per additional mile.
Find the slope of the line that passes through the points (-7, 3) and (3, 8). • (-7, 3) (3, 8) • x1 y1 x2 y2
Graph • m = • b = -5
Graph • -2x -2x • 5y = -2x + 20 • m = • b = 4