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Unit 4 Review

Total questions: 20

Worksheet time: 3600secs

Name
Class
Date
1.

Work out the value of x.

a)

75

b)

55

c)

50

d)

25

2.

Work out the value of x in this isosceles triangle.

a)

2

b)

4

c)

12

d)

48

3.

Fathir thinks of a number. He multiplies it by 5 then subtracts 4. The answer is the same as 2 times the number and plus 20. 

Construct the right equation.

a)

5x4=2x+205x-4=2x+20  

b)

5(x4) = 2 (x+20)5\left(x-4\right)\ =\ 2\ \left(x+20\right)  

c)

5(x4) = 2 (x+20)5\left(x-4\right)\ =\ 2\ \left(x+20\right)  

d)

5x4 = 2x205x-4\ =\ 2x-20  

4.
Solve for a:
2 + 14a = -8 + 9a
a)
a = 2
b)
a = -2
c)
a = 65
d)
a = 1
5.

Work out the value of x and y in this rectangle.

a)

x = 8; y = 7

b)

x = 7; y = 8

c)

x = 7; y = 4

d)

x = 4; y = 7

6.
Solve:
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
7.
Solve for x:
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
8.
Solve the equation:
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
9.
Jason says that 10 less than one third of his age is 11 years old.  How old is Jason?
a)
3 years old
b)
7 years old
c)
57 years old
d)
63 years old
10.

Solve the simultaneous equations

a+b=11

a-b=3

a)

a=7, b = 4

b)

a=-4, b= 7

c)

a=4, b = 7

d)

a=4, b= -7

11.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
12.

Solve the system of equations using substitution:

y = 2x + 5

2x + 2y = 4

a)

(1, 7)

b)

(7, 1)

c)

(2, 9)

d)

(-1, 3)

13.
What is the point of intersection?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
14.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
15.
Solve.
a)
x > -28
b)
x > 28
c)
x > -14
d)
x > 14
16.
Solve:
4(2a + 3) < 3(a - 1)
a)
a<-3
b)
a>-3
c)
a<3
d)
a>3
17.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
18.

Solve:

7(x + 3) - 5x < 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

19.
Twice a certain number, increased by 5, is less than three times the same number.
a)
2x + 5 > 3x
b)
2x + 5 < 3x
c)
2x + 5 ≤ 3x
d)
2x + 5 ≥ 3x
20.

Solve and graph the inequality.

a)

A

b)

B

c)

C

d)

D