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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
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