Review of Linear Equations

Review of Linear Equations

by Miss Johnson

​First let's review simplifying Algebra!

​Copy the examples on the board in to your books.

Multiple Choice

Collect the Like Terms: 7x + 3y - 2x + 8x - y

• 5x + 10y

• 15xy

• 13x + 3

• 13x +2y

Multiple Choice

Collect the Like Terms: $$5x^{2\ }+\ 3x\ -\ x\ -2x^{2\ }$$  

• $$5x^2$$  

• $$3x^{2\ }\ +\ 3$$  

• $$3x^{2\ }+\ 2x$$  

• $$3x^2\ +\ 3\ +\ x$$  

Multiple Choice

Simplify: $$7x\ \times4x$$  

•   $$28x$$  

• $$28x^2$$  

•   $$11x$$  

•   $$11x^2$$  

Multiple Choice

Simplify: $$7ab^2\ \times12a^3b$$  

• $$84a^3b^2$$  

• $$84a^4b^3$$  

• $$84ab^7$$  

• $$84a^7b^7$$  

Multiple Choice

• 4y⁶
• 4y²²
• 30y⁶
• 30y²²

​First let's review Exanding Brackets!

​Copy the examples on the board in to your books.

Multiple Choice

10(f + 5)

• 10f + 50
• f + 50 
• 10f + 5 
• b + c 

Multiple Choice

30(g + f)

• 30g + 30f
• 30g 
• 30f

Multiple Choice

-2a(3+b)

• -6a-2ab
• -6a+2ab

Multiple Choice

Expand 3z(4z + 6)

• 12z² + 18z
• 34z² + 18
• 12z² + 18
• 12z² - 18z

Multiple Choice

2(h + 3) + 3(h + 4)

• 5h + 18
• 5h + 7
• 5h + 10
• 5h + 14

Multiple Choice

5(2h + 1) - 2(h + 2)

• 8h + 1
• 8h - 1
• 8h + 3
• 8h +9

​First let's review Exanding Double Brackets

​Copy the examples on the board in to your books.

Multiple Choice

Expand (x + 5)(x + 4)

• x² + 9x + 20
• x² + 20x + 20
• 5x² + 20
• x² + 6x + 9

Multiple Choice

(x+2)(x+3)

• x² + 5x + 6
• x² + 6x + 5
• x² + 7x + 5
• x² + 6x + 6

Multiple Choice

Expand (x + 2)(x - 4)

• x² - 2x - 8
• x² + 2x - 8
• x² - 2x + 8
• x² + 2x + 8

Multiple Choice

(3x+2)(2x +3)

• 6x² + 6x + 6
• 5x² + 11x + 6
• 6x² + 13x + 6
• 6x² + 13x + 5

​First let's review Factorising

​Copy the examples on the board in to your books.

Multiple Choice

6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• not factorable

Multiple Choice

Factorise 4x + 14

• 2(2x+7)
• 4(x+10)
• 4(x+3)
• 2(x+12)

Multiple Choice

Factorise 12x + 18

• 6(2x + 3)
• 2(6x + 9)
• 3(4x + 6)
• 3(4x - 6)

Multiple Choice

Factorise 10x - 45

• 5(2x - 9)
• 5(2x + 9)
• 10(x - 4.5)
• 2(5x - 22.5)

​First let's review Factorising Quadratics

​Copy the examples on the board in to your books.

Multiple Select

Select the two brackets needed to factorise... $$x^2+9x+20$$

• $$\left(x+1\right)$$  

• $$\left(x+2\right)$$  

• $$\left(x+3\right)$$  

• $$\left(x+4\right)$$  

• $$\left(x+5\right)$$  

Multiple Select

Select the two brackets needed to factorise... $$x^2+7x+12$$

• $$\left(x+1\right)$$  

• $$\left(x+2\right)$$  

• $$\left(x+3\right)$$  

• $$\left(x+4\right)$$  

• $$\left(x+5\right)$$  

​First let's review Solving Equations

​Copy the examples on the board in to your books.

Multiple Choice

Which operation will cancel out multiplication?

• A.  Addition
• B. Subtraction
• C. Multiplication
• D. Division

Multiple Choice

Solve:
-4x = 24

• 20
• -20
• 6
• -6

Multiple Choice

What step would you take to solve this equation?

• Multiply both sides of the equation by 2
• Divide both sides of the equation by 2
• Add 2 to both sides of the equation
• Subtract 2 from both sides of the equation

Multiple Choice

Solve for x:
2x + 5 = 12

• 7
• 3
• 3.5
• 8.5

Multiple Choice

Solve for v.

• 60
• -3
• 15
• 3

Multiple Choice

Solve. 4x + 7 = 3

• -1

• 1

• 2.5

• 2.5

Multiple Choice

Solve:
3(x - 2) = 18

• 6.7
• 4
• 8
• -4

Multiple Choice

Solve for x:
6(2x + 1) = 18

• 3
• 17/12
• 1
• 2

Multiple Choice

Solve for x:
10 = 3x -12

• 22/3
• 2/3
• 10/9
• 8

​First let's review Solving Equations when the unknown is on both sides!

​Copy the examples on the board in to your books.

Multiple Choice

Solve the following equation...

• x = 3

• x = 4

• x = 2

• x = 5

Multiple Choice

Solve the following equation...

• x = 3

• x = 4

• x = 2

• x = 5

Multiple Choice

Solve the following equation...

• x = 3

• x = 4

• x = 2

• x = 5

Multiple Choice

Solve the following equation...

• x = 3

• x = 4

• x = 6

• x = 5

Multiple Choice

Solve the following equation...

• x = 6

• x = 5

• x = -6

• x = -5

Multiple Choice

Solve the following equation...

• x = 9

• x = 5.5

• x = 5

• x = 4.5

​Amazing, great work!!