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Math Champions Cup Nov2023 Round 16

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

118=5(4+7x)+7-118=-5\left(4+7x\right)+7  

a)

5-5  

b)

9-9  

c)

33  

d)

1-1  

2.
What would you multiply each term by to clear the decimals in the following equation:
3.04y - 6.7 = 9.12
a)
10
b)
100
c)
1000
d)
10000
3.

Solve each equation.   34(x13)=2(9+x)\frac{3}{4}\left(x-13\right)=-2\left(9+x\right)  

a)

x=3x=-3  

b)

x=3x=3  

c)

x=11x=11  

4.

96=6(k+8)96=6\left(k+8\right)  

a)

1212  

b)

88  

c)

4-4  

d)

99  

5.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
6.

a23 = 5 \frac{a}{2}-3\ =\ 5\  

Find the value of a in this equation.

a)

a = 16

b)

a = 4

c)

a = -16

d)

a = -4

7.

2b + 3 = 92b\ +\ 3\ =\ 9  

Find the value of b in this equation. 

a)

b = -3

b)

b = 3

c)

b = 12

d)

b = 6

8.

x + 7 = x + 6

a)

No solution

b)

Infinitely Many Solutions

c)

One solution of x = 1

d)

Two solutions of x = 1 or -1

9.

What is the second step to solve the equation:

2x - 3 + 4x = 27

a)

Divide everything by 2

b)

Add 3 to both sides

c)

Divide everything by 6

d)

Subtract 3 to both sides

10.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
11.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
12.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
13.
The axes divide the coordinate plane into four sections called what? 
a)
ordered pairs
b)
origins
c)
quadrants
d)
coordinate plane
14.
The Y axis is _______?
a)
Vertical
b)
Horizontal
c)
criss-cross
d)
diagonal
15.
In the ordered pair (7, 8), which number is the x-coordinate?
a)
7
b)
8
c)
neither
d)
both