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Review 10a 1. 5. (b) 5x – 3y = 22 for x = 2 x 3 y 4 4 (-2, 8) (b) x 2 y 4 3 (-2, 9) Find two solutions for each of the following equations. (a) 4. 3x – 5y = 16 for x = 2 Determine whether the ordered pair is a solution of the given equation. (a) 3. (answers page 4) Find the solution to each equation for the give value of the variable. (a) 2. Graphs -3x + 2y = 6 (b) -2x + 3y = 6 Find the slope of the line through the following pairs of points. (a) (-4, 7) , (-4, -3) (b) (-6, 5) , (-2, -3) (c) (3, -2) , (9, -2) (d) (7, -3) , (-4, -3) (e) (-6, 7) , (-3, -2) (f) (-5, 6) , (-5, 4) Find the slope and the y-intercept of the line represented by each of the following equations. (a) y–5=0 (b) 3x – 4y = 12 (c) x=7 (d) x–3=0 (e) 4x – 3y = 12 (f) y=5 M070 FWC lv review 10a 1 6. Draw the graph of each of the following equations. (a) x – 3y = 6 8 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 (b) -1 -2 -3 -4 -5 -6 -7 -8 1 2 3 4 5 6 7 8 x–6=0 M070 FWC lv review 10a 2 (c) x – 4y = 8 8 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 (d) -1 -2 -3 -4 -5 -6 -7 -8 1 2 3 4 5 6 7 8 y–5=0 M070 FWC lv review 10a 3 Review 10a Answers 1. (a) y = -2 (b) y = -4 3. There are many possible answers. If you have a different answer, it doesn’t mean that it is wrong. 1 2 (a) (0, 3) (1, 4.5) (2, 6) (3, 7.5) (4, 9) (-2, 0) ( 1 , 1) ( , 2) 3 3 2 1 (b) (0, 2) (1, 2 ) (2, 3 ) (3, 4) (-3, 0) (-1.5, 1) (1.5, 3) 3 3 4. (a) (d) undefined or 0 (e) 5. (b) 0 y-intercept 5 (b) 3 4 -3 (a) -2 (f) -3 (a) slope 2. no (b) no (c) 0 undefined or (c) undefined or none (d) undefined or none (e) 4 3 -4 (f) 0 5 y 6. 6 5 (a) (b) 4 3 2 1 -1 6 5 4 3 2 1 x 1 2 3 4 5 6 -2 -3 x - 3y = 6 -6 -5 -4 -3 -2 -1 -4 -5 -6 (c) -6 -5 -4 -3 -2 -1 x – 4y = 8 M070 FWC lv review 10a (d) 6 5 6 5 4 3 2 1 4 3 2 1 x 1 -1 x 1 2 3 4 5 6 -2 -3 y -1 x–6=0 -6 -5 -4 -3 -2 -1 y 2 3 4 5 6 -6 -5 -4 -3 -2 -1 -1 -2 -3 -2 -3 -4 -5 -6 -4 -5 -6 -4 y-5 -6 y–5=0 x 1 2 3 4 5 6 4 Review 10a 1. Simultaneous Equations (answers page 6) Solve the following system of linear equations graphically. 3x + y = 7 -2 x + y = -3 y 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 x -1 -2 -3 2. Solve the following system of linear equations by using addition or subtraction: 5x + 4y = 41 4x – 5y = 0 3. Solve the following system of linear equations by using substitution: 5x – 4y = -22 x = 2y - 8 M070 FWC lv review 10a 5 4. 12 tins of soup and 4 loaves of bread cost Dh 63. 24 tins of soup and 2 loaves of bread cost Dh 117. Find the cost of one tin of soup and one loaf of bread. 5. Fifteen boxes of cornflakes and choco-crispies cost Dh 156. One box of cornflakes costs Dh 8.75. One box of choco-crispies costs Dh 11.50. How many boxes of each were bought? Answers 1 2 3 4 5 M070 FWC lv review 10a ( 2, 1 ) ( 5, 4 ) ( -2, 3 ) Soup costs Dh 4.75, bread costs Dh 1.50 6 boxes of cornflakes and 9 boxes of choco-crispies 6