Algebra

Distributive Property

100

x(3) = 3x

True of False?

True

200

5(3-5x) = ?

15-25x

300

4x(2-5x) = ?

-20x²+8x

400

x(12+3x+y) = ?

3x²+xy+12x

500

(4x²+8x) / 2x

2x+4

Substitution

100

j =3x + 4  ; 

x = 2

j = 10

200

p = 2x² - x + 4 ; 

x = 3

19

300

t = (2x-3)/2; 

x = 1

-1/2

400

B = 4x - (3 - 2x)²;

x =3

B = 3

500

Q = 3n - 4(n-2n²) ; 

n = -3

Q = 75

Isolating the Variable

100

3x + 2 = 8

x = 2

200

4m = -28

m = -7

300

6x - 3 = 21

x = 4

400

56/e = 7

e = 8

500

3(x + 4) = 3(6 - x)

x = 1

Language

100

14 fewer than 21

21-14

200

The apples are split into 6 equal groups.

Let # of apples = A, 

A/6

300

six times a number is negative 42

6n = -42

400

Three more than twice a number

2n+3

500

Twice the difference between four times a number, n, and seven is 12

2(4n-7) = 12

Word Problems

100

Maria bought 10 notebooks and 5 pens costing 2 dollars each. How much did Maria pay?

   2(10+5) 

= 2(15) 

= 30

200

A customer pays 50 dollars for a coffee maker after a discount of 20 dollars

What is the original price of the coffee maker?

x - 50 = 20

x        = 20 + 50

       x = 70

300

A streaming service charges $9.99 per month, plus an additional cost, c, for each new release viewed. Scott's bill totaled 54.93. He watched 3 new release movies. How much does the streaming service charge to watch a new release movie? 

$14.98

400

• A-1 Budget rents cars and charges a base rate of $45.00 for a day for the car plus $0.25 per km that you drive.  How many km can you drive for if you have budgeted a total of $200.00 for your rental? 
• The car is electric, so you do not need to worry about the cost of gas.

620 Kilometers.

500

You want to buy a new laptop that costs $1875, taxes included.  You have $500 to put down today, but need to make monthly payments for the rest.  How much would your payment be if you divide the amount remining into 12 equal payments? 

$114.59 - four months

$114.58 - 8 months.