Algebra

Substitution

100

x = 5.    y = 2

x + 9 - y

12

200

y = 6  x = 4

3x + 2y

24

300

x = 7 

3(2x +1)

45

400

x = 6.    y = 3

7x - 4y

30

500

x = 7.   y =-2

6(2x + 5y)

24

Collecting like terms

100

a + 5a + 9a + 7a

22a

200

7a + 6 + 3a + a

11a + 6

300

7x + 2a + 5a - 6x

x + 7a

400

6x + 2x - 9x - 5a - 2a

-x -7a

500

5x - 6y + 3a - 7x + 4y - 9a

-2x -2y -6a

Generalizing arithmetic

100

Ricky is now 14 years old. How old was he x years ago?

14 - x

200

Laia has a water bottle, she drank 2L. If it originally had x amount of liters, how much does it have now?

x - 2

300

Laura buys a apricots and p peaches. Find the total cost (in dollars) if each apricot cost 60 cents and each peach cost 90 cents.

0.6a + 0.9p

400

There were 20 people at a party, the m more people arrived and n people left. How many people are at the party now

20 + m - n

500

Frank buys b balls at $m each and r racquets at $n each. Find the total cost of the items.

$bm + $rn

Algebraic Notation

100

4 more than c

c + 4

200

p x q + r

pq + r

300

w - y x 8

w - 8y

400

Martin is x years old. Jennifer is 3 years younger than Martin. Connor is twice as old as Jennifer. What is Connor's age

2x - 6

500

Martin is x years old. Jennifer is 3 years younger than Martin. Connor is twice as old as Jennifer. Write a sum for all three ages.

4x - 9

Random

100

1.7 + 15.4=

17.1

200

0.4 x 0.03=

0.012

300

2⁴ + 5² + 3²=

50

400

3(2x + 5) + 7(3x + 1)

27x + 22

500

How many prime numbers are there less than 20?

8 prime numbers

2, 3, 5, 7, 11, 13, 17, 19