Y9 Math Revision (Algebra) 1

Y9 Math Revision (Algebra)

by Andy Chee

Algebra Review

Let's See What You Remember!

One Step Equations

Undo the operation to solve for your variable.

Multiple Choice

Solve for b.

9b=18

• 9

• 2

• 27

• -11

Multiple Choice

Solve for x.

x + 17 = 4

• 21

• -13

• 68

• $$\frac{4}{17}$$

Two Step Equations

Undo the operations while following reverse of PEMDAS.

Multiple Choice

Solve for n.

-6n + 6 = 60

• -20

• 18

• -9

• -16

Multiple Choice

Solve for x.

$$\frac{x}{5}-10=-10$$  

• 0

• 18

• -25

• 1

Multiple Choice

Solve for r.

$$-6r-9=111$$  

• -6

• -17

• 11

• -20

Multiple Choice

Solve for x.

$$8\left(1+x\right)=-8$$  

• 10

• 7

• -2

• 17

Multi-Step Equations with Variables on One Side

1. Distribute (if needed)

2. Combine like terms (if needed)

3. Solve the remaining equation.

Multiple Choice

Solve for a.

-a + a = 0

• Infinite Solutions

• No Solution

• 0

• 1

Multiple Choice

Solve for x.

$$3\left(1+7x\right)-7=-88$$  

• -12

• -4

• 16

• Infinite Solutions

Multi-Step Equations with Variables on Both Sides

1. Distribute (if necessary)

2. Combine Like Terms on the same side (if necessary)

3. Use opposite operations to get like terms together across the equal sign.

4. Solve!

Multiple Choice

Solve for n.

$$n+14\ =\ 5n-2$$  

• 4

• 0

• 2

• -1

Multiple Choice

Solve for r.

$$-26+4r=-2\left(3-4r\right)$$  

• 7

• -4

• 11

• -5

Proportions

1. Cross Multiply

2. Distribute (if necessary)

3. Combine like terms (if necessary)

4. Solve!

Multiple Choice

Solve for x.

$$\frac{10}{5}=\frac{x}{2}$$  

• 4

• 7.494

• 2

• 2.3

Multiple Choice

Solve for x.

$$\frac{9}{8}=\frac{10}{\left(x-3\right)}$$  

• 11.89

• 1

• 7.05

• -2.5

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Fill in the Blank

Expand and/or simplify this:

12ab - 6bc + 5ba - 3ca + 7cb

Fill in the Blank

Expand and/or simplify this:

3h-4k - 5(h-2k)

Multiple Choice

Expand and/or simplify this:

$$\frac{1}{4}\left(p+2q\right)-\frac{1}{5}\left(2p+q\right)$$   $$\$$  

• $$-\frac{3}{10}p+\frac{3}{20}q$$  

• $$-\frac{3}{20}p+\frac{3}{10}q$$  

• $$-\frac{4}{20}p+\frac{4}{10}q$$  

• $$-\frac{3}{30}p+\frac{3}{20}q$$  

Fill in the Blank

Expand and/or simplify this:

$$\frac{1}{3}\left[5x+\frac{1}{7}\left(21-14x\right)\right]$$  

Multiple Choice

Express the following as a fraction in its simplest form

$$3+\frac{2x-1}{3}+\frac{5x-1}{4}$$  

• $$\frac{23x+29}{24}$$  

• $$\frac{29x+23}{12}$$  

• $$\frac{23x+29}{12}$$  

• $$\frac{23+29x}{12}$$  

Multiple Choice

Express the following as a fraction in its simplest form

$$\frac{2\left(3x-2y\right)}{5}-\frac{3\left(y+2x\right)}{10}+1$$  

• $$\frac{6x-11y+10}{10}$$  

• $$\frac{6x-12y+10}{10}$$  

• $$\frac{8x-11y+10}{10}$$  

• $$\frac{6x-11y+10}{20}$$  

Fill in the Blank

Factorise the following expressions completely.

6c + 3ac - 18bc

Fill in the Blank

Factorise the following expressions completely.

8h(3k- 5) - 128h(k- 1)

Fill in the Blank

Solve the foIIowing equation.

$$\frac{3x-2}{5}-\frac{x+5}{7}=3$$  

x = ?

Fill in the Blank

Solve the foIIowing equation.

$$4y-2(3-y)=\frac{y-1}{3}$$  

y = ?

Multiple Choice

If $$s=3t+\frac{1}{2}av$$  , when a= 3, v = -2, and s= 7

find the value of t

• $$3\frac{1}{3}$$  

• $$3\frac{2}{3}$$  

• $$4\frac{1}{3}$$  

• $$4\frac{2}{3}$$  

• $$5\frac{1}{3}$$  

Fill in the Blank

Solve the following inequalities.

9x > -18

Multiple Choice

Solve the following inequalities.

-8y + 3y < -16

• $$y>3\frac{2}{5}$$  

• $$y<2\frac{1}{5}$$  

• $$y>2\frac{1}{5}$$  

• $$y<3\frac{1}{5}$$  

• $$y>3\frac{1}{5}$$  

Multiple Choice

During the Singapore 2010 Youth Olympics Games, there were (3x + 8y+ 5) athletes living in a residential hall. If (2x - y + 18) athletes left for their respective competitions, find the number of athletes who remained in the hall.

• 2x + 9y - 13

• x + 9y - 23

• x + 7y - 13

• x + 9y - 13

• 5x + 9y - 13

Multiple Choice

Timothy is x years old. Laura is half as old as Timothy while Mike is now twice as old as Timothy was 3 years ago. Find the sum of their present ages.

• $$\left(3\frac{1}{2}x\ -\ 12\right)$$  years

• $$\left(3\frac{1}{3}x\ -\ 6\right)$$  years

• $$\left(4\frac{1}{2}x\ -\ 6\right)$$  years

• $$\left(3\frac{1}{2}x\ -\ 8\right)$$  years

• $$\left(3\frac{1}{2}x\ -\ 6\right)$$  years

Multiple Choice

Two consecutive numbers are such that the sum of the larger number and twice the smaller number is 88. Find the larger number.

• 10

• 20

• 30

• 40

• 50

Multiple Choice

Thomas cycles the first part of a 102-km journey at an average speed of 36 km/h and walks the remaining distance at an average speed of 8 km/h. If he takes 4 hours for his entire journey, find the distance that he walks.

• 6

• 12

• 18

• 24

• 30

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