Linear Equations
Constant Rates
constant rate expressions
Variable word problems
Solving Equations
100

x + 8 = 24

16 + 8 = 24

16 

100

Jenny is selling Oreo cookie bars for $2.00. She wants to purchase a new bike. The bike is approximately $200. How many bars does she need to sell to reach her goal? 

100 bars. 

100

Substitute x for 2

4x - 1? 

7

100

Solve where a = 3 and b = 4

3a + 2b

17 

100

Term number                                Term

       1                                             7

       2                                            10 

       3                                            13

       4                                            16

3x + 4

200

3b + 24 = 51

3 (9) + 24 = 51

9

200

Sarah is driving 110 km/h to her cottage just outside of Sudbury. The destination is 330 kilometres away. How long till she reaches her destination? 

3 hours. 

200

Substitute x for 3

3x - 9

0

200

Solve where a = 6 and b = 3

12 - 1a + 3b 

15

200

Term number                                Term

       1                                             8

       2                                            11 

       3                                            14

       4                                            17

3x + 5 

300

2a + 3 - 2 = 9

2(4) + 3 -2 = 9

4

300

Emely wants to sell ice cream bars, she would like to sell them for $4.00 each. 

She wants to know, how much money would she make if she sold 8 bars? 

$32.00 

300

Substitute x for 3

4x - 3

9

300

Solve where a = 10 and b =7

7a

70

300

Term number                                Term

       1                                             9

       2                                            14

       3                                            19

       4                                            24

5x + 4

400

13 = 1x + 3

13 = 1(10) +3

10

400

Lilah is selling lemonade on the side of the road for $3.00. She wants to save up for a toy that is $42.00, how many lemonades does she need to sell ? 

14 

400

Substitute x for 5 

6x - 1

29

400

Solve where a = 7 and b = 6

4 (b-2) + 2a

30 

400

Term number                                Term

       1                                             7

       2                                            13 

       3                                            19

       4                                            25

6 x + 1

500

21 = 7x

21 = 7(3) 

3

500

Using a graph ; 

Jeremy is driving 120 km/h, he is driving to Kanata. He needs to drive approximately 600 kilometres. How many hours till Jeremy arrives to Kanata? 

5 hours 

500

substitue x for 5

7x + 3

38

500

Solve where a = 7 and b = 2

3 (a + 2 - 3b) 

9

500

Term number                                Term

       1                                             2

       2                                             6

       3                                            10

       4                                            14

4x - 2