Algebra I, Unit 2, Lesson 6 Notes

Multiple Choice

eighteen less than a number

• $$\frac{x}{18}$$  

• $$\frac{18}{x}$$  

• x - 18

• 18 - x

Multiple Choice

the product of a number and six

• x + 6

• 6x

• x - 6

• $$\frac{x}{6}$$  

Multiple Choice

triple a number

• 2 + x

• 3 + x

• 2x

• 3x

Multiple Choice

a number increased by nine

• x + 9

• 9x

• x - 9

• $$\frac{x}{9}$$  

Multiple Choice

The sum of a number and 7

• x + 7

• x - 7

• 7x

Multiple Choice

seven added to a number

• x + 7

• x - 7

• 7x

Multiple Choice

the difference of a number and 4

• $$\frac{x}{4}$$  

• x + 4

• x - 4

• 4 - x

Multiple Select

half a number

• 2x

• $$\frac{1}{2}x$$  

• $$\frac{x}{2}$$  

• $$\frac{2}{x}$$  

Multiple Choice

the difference of 5 and a number

• 5 + x

• x + 5

• 5 - x

• x - 5

Multiple Select

Twelve more than five times a number.

• 12 + 5x

• 5 + 12x

• 5x + 12

• 12x + 5

Note: The phrases below mean you need to include parentheses in your answer.

​

3 times the sum of a number and 10: 3(x + 10)

3 times the difference of x and 10: 3(x - 10)​

Multiple Choice

Six times the sum of a number and four.

• 6x + 4

• 6(x + 4)

• 4x + 6

• 4(x + 6)

Multiple Choice

twice a number plus four

• 4 + 2 + x

• 2x + 4

• 3x + 4

• 4x + 2

Multiple Select

sixteen more than the quotient of a number and two

• $$16+\frac{x}{2}$$  

• $$\frac{x}{2}+16$$  

• $$\frac{x}{16}+2$$  

• $$2+\frac{x}{16}$$  

Multiple Choice

the sum of four times a number and two

• 4(x + 2) 

• 2x + 4

• 24x

• 4x + 2

Multiple Choice

the sum of the square root of a number and three

• $$\sqrt{x+3}$$  

• $$\sqrt{x}+3$$  

• $$x^2+3$$  

• $$\left(x+3\right)^2$$  

Multiple Choice

the difference of six times a number and five

• 6x - 5

• 6(x - 5)

• 5x - 6

• 5 - 6x

Multiple Choice

Eight subtracted from two times a number.

• 18 - 2x

• 2x - 18

• 18x - 2

• 2 - 18x

Multiple Choice

The quotient of one less than a number and twice a number.

• $$\frac{x}{2}$$  

• $$\frac{1-x}{2x}$$  

• $$\frac{x-1}{2x}$$  

• $$\left(x-1\right)\left(2x\right)$$  

​Now we're on to page 21.

For these questions, you only need to write an equation - you DO NOT need to solve it.​

Multiple Choice

1) Five times the difference of a number and three is equal to twice the number.

• 5x - 3 = 2x

• 5(x - 3) = x + 2

• 5x - 3 = x + 2

• 5(x - 3) = 2x

Multiple Choice

2) If seven times a number is reduced by nine, the result is ten less than the number.

• 7x - 9 = 10 - x

• 7x - 9 = x - 10

• 9 - 7x = 10 - x

• 9 - 7x = x - 10

Multiple Select

3) Four more than twice a number is 82.

• 4 + 2x = 82

• 4(2x) = 82

• 4x + 2 = 82

• 2x + 4 = 82

Multiple Choice

4) Seven less than twice a number equals 19.

• 7 - 2x = 19

• 7x - 2 = 19

• 2 - 7x = 19

• 2x - 7 = 19

Multiple Choice

5) Two less than 2 times a number is the same as the number plus 64.

• 2 - 2x = 64

• 2 - 2x = x + 64

• 2x - 2 = 64

• 2x - 2 = x + 64

Multiple Choice

6) A number decreased by 30 is the same as 14 minus 3 times the number.

• 30 - x = 14 - 3x

• x - 30 = 14 - 3x

• 30 - x = 3 - 14x

• x - 20 = 14x - 3