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Algebra 1

Algebra 1. Unit 4 Review. Algebra 1 – Unit 4 mid-unit Review. 1). Match each equation with line A, B, C, or D from the graph. ___ y = 7 ___ x = 7 ___ y = 3x – 2 ___ y + 4 = (x – 6). y. A. 5. x. -5. 5. B. -5. D. C. Algebra 1 – Unit 4 mid-unit Review. ANSWER. 1).

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Algebra 1

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  1. Algebra 1 Unit 4 Review

  2. Algebra 1 – Unit 4 mid-unit Review • 1) • Match each equation with line A, B, C, or D from the graph. • ___ y = 7 • ___ x = 7 • ___ y = 3x – 2 • ___ y + 4 = (x – 6) y A 5 x -5 5 B -5 D C

  3. Algebra 1 – Unit 4 mid-unit Review ANSWER • 1) • Match each equation with line A, B, C, or D from the graph. • ___ y = 7 • ___ x = 7 • ___ y = 3x – 2 • ___ y + 4 = (x – 6) A C D B y A 5 x -5 5 B -5 D C

  4. Algebra 1 – Unit 4 mid-unit Review • 2) • List a coordinate pair for each equation in the tables below. • y = 7 • x = 7 • y = 3x – 2 • y + 4 = (x – 6) y A 5 x -5 5 B -5 D C

  5. Algebra 1 – Unit 4 mid-unit Review ANSWER • 2) • List a coordinate pair for each equation in the tables below. • y = 7 • x = 7 • y = 3x – 2 • y + 4 = (x – 6) y A 5 x -5 5 B -5 D C

  6. Algebra 1 – Unit 4 mid-unit Review • 3) • What are the slopes and y-intercepts of each line? • y = 7 • slope = • y-int = • x = 7 • slope = • y-int = • y = 3x – 2 • slope = • y-int = • y + 4 = (x – 6) • slope = • y-int = y A 5 x -5 5 B -5 D C

  7. Algebra 1 – Unit 4 mid-unit Review ANSWER • 3) • What are the slopes and y-intercepts of each line? • y = 7 • slope = 0 • y-int = 7 or (0,7) • x = 7 • slope = undefined or  • y-int = doesn’t have one • y = 3x – 2 • slope = 3 • y-int = -2 or (0,-2) • y + 4 = (x – 6) • slope = • y-int = -2 or (0,-2) y A 5 x -5 5 B -5 D C

  8. Algebra 1 – Unit 4 mid-unit Review • 4) • Write an equation of a line parallel to line B. • Write an equation of a line perpendicular to line D. y A 5 x -5 5 B -5 D C

  9. Algebra 1 – Unit 4 mid-unit Review ANSWER • 4) • Write an equation of a line parallel to line B. • Write an equation of a line perpendicular to line D. y A y =x + b where b ≠ -2 5 x -5 5 B -5 y =x + b D C

  10. Algebra 1 – Unit 4 mid-unit Review • 5) • The points (-2,-1) and (2,-3) lie on a line. • Write an equation of this line in point-slope form.

  11. Algebra 1 – Unit 4 mid-unit Review ANSWER • 5) • The points (-2,-1) and (2,-3) lie on a line. • Write an equation of this line in point-slope form. y + 1 =(x + 2) or y + 3 =(x – 2)

  12. Algebra 1 – Unit 4 mid-unit Review • 6) • The points (-2,-1) and (2,-3) lie on a line. • Write an equation of this line in slope-intercept form.

  13. Algebra 1 – Unit 4 mid-unit Review ANSWER • 6) • The points (-2,-1) and (2,-3) lie on a line. • Write an equation of this line in slope-intercept form. y =x – 2

  14. Algebra 1 – Unit 4 mid-unit Review • 7) • A zookeeper leaves a 50 lb bag of grain for an emu. The emu is always hungry and will eat 2 lbs of grain per hour. • What is the independent variable? • What is the dependent variable?

  15. Algebra 1 – Unit 4 mid-unit Review ANSWER • 7) • A zookeeper leaves a 50 lb bag of grain for an emu. The emu is always hungry and will eat 2 lbs of grain per hour. • What is the independent variable? • What is the dependent variable? time (hours) Amount of remaining grain (lbs)

  16. Algebra 1 – Unit 4 mid-unit Review • 8) • A zookeeper leaves a 50 lb bag of grain for an emu. The emu is always hungry and will eat 2 lbs of grain per hour. • Write an equation involving x and y that represents this situation. • When will the emu run out of grain? • After 10 hours, how much grain will the emu have left?

  17. Algebra 1 – Unit 4 mid-unit Review ANSWER • 8) • A zookeeper leaves a 50 lb bag of grain for an emu. The emu is always hungry and will eat 2 lbs of grain per hour. • Write an equation involving x and y that represents this situation. • When will the emu run out of grain? • After 10 hours, how much grain will the emu have left? y = -2x + 50 In 25 hours 30 lbs

  18. Algebra 1 – Unit 4 mid-unit Review • 9) • The zookeeper is bringing in a bunch of more emus for the zoo. The trailer can hold up to 1 ton of cargo (2000 lbs). A female emu weighs 50 lbs and a male emu weighs 80 lbs. • If x is the number of female emus, then ___x represents the total weight of the females. • If yis the number of male emus, then ___yrepresents the total weight of the males. • Combine yours answers to (a) and (b) to write an equation that models this situation, using general form.

  19. Algebra 1 – Unit 4 mid-unit Review ANSWER • 9) • The zookeeper is bringing in a bunch of more emus for the zoo. The trailer can hold up to 1 ton of cargo (2000 lbs). A female emu weighs 50 lbs and a male emu weighs 80 lbs. • If x is the number of female emus, then ___x represents the total weight of the females. • If yis the number of male emus, then ___yrepresents the total weight of the males. • Combine yours answers to (a) and (b) to write an equation that models this situation, using general form. 70 80 70x + 80y = 2000

  20. Algebra 1 – Unit 4 mid-unit Review • 10) • The zookeeper is bringing in a bunch of more emus for the zoo. The trailer can hold up to 1 ton of cargo (2000 lbs). A female emu weighs 50 lbs and a male emu weighs 80 lbs. • If all of the emus are male, how many can be taken on the trailer? • Where would this be seen on a graph of this line? • If all of the emus are female, how many can be taken on the trailer? • Where would this be seen on a graph of this line?

  21. Algebra 1 – Unit 4 mid-unit Review ANSWER • 10) • The zookeeper is bringing in a bunch of more emus for the zoo. The trailer can hold up to 1 ton of cargo (2000 lbs). A female emu weighs 50 lbs and a male emu weighs 80 lbs. • If all of the emus are male, how many can be taken on the trailer? • Where would this be seen on a graph of this line? • If all of the emus are female, how many can be taken on the trailer? • Where would this be seen on a graph of this line? 25 males could be taken This would be the y-intercept: (0,25) 40 females could be taken This would be the x-intercept: (40,0)

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