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Revision for make up Exam

Total questions: 25

Worksheet time: 42mins

Name
Class
Date
1.

Solve the proportion

 510=d50\frac{5}{10}=\frac{d}{50}  

a)

d=25

b)

d=500

c)

d=1

d)

d=250

2.

Solve the equation a (q - 8 ) = 23

a)

23a 8\frac{23}{a}\ -\ 8

b)

23a + 8\frac{23}{a}\ +\ 8

c)

8a +23\frac{8}{a}\ +23

d)

8a 23\frac{8}{a}\ -\ 23

3.

Write an algebraic expression for the verbal expression:

s to the second power multiplied by 9

a)

9s29s^2

b)

s29\frac{s^2}{9}

c)

9s 2\frac{9s\ }{2}

d)

s2 ÷ 9s^2\ \div\ 9

4.

Solve the equation :  1+r9 = 31+\frac{r}{9}\ =\ 3  

a)

26

b)

30

c)

18

d)

6

5.

 12 y +5 = 29-12\ y\ +5\ =\ 29  

Solve the equation :

a)

y = 2

b)

y = 8

c)

y = - 8

d)

y = - 2

6.

 c+7 = 2 \left|c+7\right|\ =\ -2\   

Solve the equation

a)

C = { - 9 , - 5 }

b)

C = { 5 ,9 }

c)

No solution

d)

Infinitely many solution 

7.

 b+7 = 10 \left|b+7\right|\ =\ 10\   

Solve the equation

a)

 {3, 17}\left\{3,\ 17\right\}  

b)

 {3,17}\left\{-3,17\right\}  

c)

 {3,17}\left\{-3,-17\right\}  

d)

 {3,17}\left\{3,-17\right\}  

8.

Suppose y directly varies as x , and y = 81 when x = 9

Write a direct variation equation

a)

xy=81xy=81

b)

x=9 yx=9\ y

c)

y = 9 xy\ =\ 9\ x

d)

y = 81 xy\ =\ 81\ x

9.

Find the slope of the line that passes through the points

( -5,7) and ( -3 , -9 )

a)

- 8

b)

8

c)

2

d)

-2

10.

Evaluate the expression  3b (a2 +1) + 2 c 3b\ \left(a^2\ +1\right)\ +\ 2\ c\   when 



a =  - 3  , b = 5 and c = 8  

a)

166

b)

-176

c)

198

d)

296

11.

 2k+17\left|2k+1\right|\ge7  

Solve the inequality

a)

 k3 and  k4k\ge3\ and\ \ k\le-4  

b)

 k3 or k4k\ge3\ or\ k\le-4  

c)

 k 3 and  k4k\ \ge-3\ and\ \ k\le4  

d)

 k3 or k4k\ge-3\ or\ k\le-4  

12.

Tickets to the country fair are AED 20 for an adult and

AED 15 for a child. If you have a 10 % discount card, how much will two adult tickets and two child tickets cost?

a)

AED 77

b)

AED 70

c)

AED 60

d)

AED 63

13.

 15 5x+520-15\ \le5x+5\le20  

Solve the compound inequality

a)

  4  x3-\ 4\ \le\ x\le3  

b)

 3x4-3\le x\le4  

c)

 3x43\le x\le4  

d)

 4x3-4\le x\le-3  

14.

Write the equation in point - slope form for the line that passes through (5 , 3) with a slope of 5

a)

y3 = 5(x5)y-3\ =\ 5\left(x-5\right)

b)

y+3=5(x+5)y+3=5\left(x+5\right)

c)

x3=5(y +5)x-3=5\left(y\ +5\right)

d)

x+3=5(y+5)x+3=5\left(y+5\right)

15.

Simplify 2(6x+4)+7x

a)

19x+819x+8

b)

12x+812x+8

c)

13x+813x+8

d)

20x+420x+4

16.

 y = 12x +7y\ =\ \frac{1}{2}x\ +7  

Write an equation in slope-intercept form the line that passes through (4,1) and is parallel to the line.

a)

 y = 2x+7y\ =\ 2x+7  

b)

 y =12x1y\ =\frac{1}{2}x-1  

c)

 y =12x+1y\ =\frac{1}{2}x+1  

d)

 y = 2x+1y\ =\ 2x+1  

17.

 11y +33 >22-11y\ +33\ >22  

Solve the inequality

a)

 y>1y>1  

b)

 y<1y<1  

c)

 y >1y\ >-1  

d)

 y<1y<-1  

18.

Find the x and y-intercept of the graph of the linear function described in the table below .

a)

x intercept = -2

y intercept = 2

b)

x intercept = 2

y intercept = - 2

c)

x intercept = 0

y intercept = 2

d)

x intercept = - 2

y intercept = 0

19.

Write the equation in slope-intercept form from the given graph

a)

y=23x+2y=\frac{2}{3}x+2

b)

y =23x 3y\ =\frac{2}{3}x\ -3

c)

y =2x+3y\ =2x+3

d)

y =2 3x +2y\ =\frac{-2}{\ \ 3}x\ +2

20.

Which sequence is an arithmetic sequence?

a)

-22 , -18 , -16 , - 12 ...

b)

-25, -15 ,-10 , - 5 ...

c)

-0.8 , -0.4 , 0 , 0.4 ...

d)

64 , 68 ,70 , 78 ...

21.

Find the nth term of the sequence 14 , 10 , 6 ,2...

a)

184n18-4n

b)

18+4n18+4n

c)

22+4n22+4n

d)

224n22-4n

22.

Which pair of ratios forms a proportion?

a)

0.20.8=810\frac{0.2}{0.8}=\frac{8}{10}

b)

0.40.8=48\frac{0.4}{0.8}=\frac{4}{8}

c)

2.412=1.210\frac{2.4}{12}=\frac{1.2}{10}

d)

0.40.7=58\frac{0.4}{0.7}=\frac{5}{8}

23.

Find the x and y-intercept of the equation 2 x + 4 y = - 8

a)

x intercept = - 4 , y intercept = - 2

b)

x intercept = 4 , y -intercept = 2

c)

x intercept = 2 , y intercept = 4

d)

x intercept = - 2 , y intercept = - 4

24.

Find the equation in slope -intercept form for the line that passes through (5,7) and is perpendicular to the graph to the graph of y - 3x = 1

a)

y = 12x+233y\ =\ -\frac{1}{2}x+\frac{23}{3}

b)

y =13x+263y\ =\frac{-1}{3}x+\frac{26}{3}

c)

y=13x+163y=\frac{1}{3}x+\frac{16}{3}

d)

y = 3 x+22y\ =\ -3\ x+22

25.

 ax+z =awy    for   a ax+z\ =aw-y\ \ \ \ for\ \ \ a\   

Solve the equation

a)

 a =xywza\ =\frac{-x-y}{-w-z}  

b)

 a=ywx+za=\frac{y-w}{x+z}  

c)

 a=y+zwxa=\frac{y+z}{w-x}  

d)

 a =y+zw+xa\ =\frac{y+z}{w+x}