Test 2. Linear function

1. Using x-values from 0 to 4, complete a table then draw

y = 7 – x.

 а)  (0, 7), (1, 6), (2, 5), (3, 4), (4, 2);     

 b)  (0, 7), (1, 6), (2, 5), (3, 4), (4, 3);     

 c)  (0, 7), (1, 6), (2, 5), (3, 3), (4, 4);     

 d)  (0, 7), (1, 7), (2, 5), (3, 4), (4, 3).

 2. Using x-values from 0 to 4, complete a table then draw the straight line 

y = 3x 

(make sure you draw the axes big enough).

 а)  (0, 0), (1, 3), (2, 6), (3, 9), (4, 12);     

 b)  (0, 1), (1, 3), (2, 6), (3, 9), (4, 12);     

 c)  (0, 0), (1, 3), (2, 5), (3, 9), (4, 12);     

 d)  (0, 0), (1, 3), (2, 6), (3, 8), (4, 12).

 3. Using x-values from 0 to 5, complete a table then draw the straight line 

y = 6 – x

 а)  (0, 6), (1, 5), (2, 4), (3, 2), (4, 2), (5, 1);     

 b)  (0, 6), (1, 4), (2, 4), (3, 3), (4, 2), (5, 1);     

 c)  (0, 6), (1, 5), (2, 4), (3, 3), (4, 2), (5, 1);     

 d)  (0, 6), (1, 5), (2, 4), (3, 1), (4, 2), (5, 1).

 4. Using x-values from 0 to 5, complete a table then draw

y = 8 – x

 а)  (0, 8), (1, 7), (2, 6), (3, 4), (4, 2), (5, 1);     

 b)  (0, 8), (1, 3), (2, 6), (3, 5), (4, 4), (5, 1);     

 c)  (0, 8), (1, 7), (2, 4), (3, 5), (4, 2), (5, 3);     

 d)  (0, 8), (1, 7), (2, 6), (3, 5), (4, 4), (5, 3).

 5. Draw y = 2x + 3 using x-values from 0 to 4.  

 а)  (0, 3), (1, 5), (2, 7), (3, 9), (4, 11);     

 b)  (0, 3), (1, 4), (2, 7), (3, 9), (4, 10);     

 c)  (0, 3), (1, 5), (2, 6), (3, 9), (4, 12);     

 d)  (0, 3), (1, 5), (2, 7), (3, 8), (4, 9).

 6. Using x-values from 0 to 3, draw y = x and y = 6 – 2x on the same graph.

 а)  (2, 1);      b)  (1, 1);     

 c)  (2, 2);      d)  (1, 2).

 7. Draw y = ¹/₂ x using x-values from –4 to 4.

 а)  (–4, –2), (–3, –1.5), (–2, –1), (–1, –0.5), (0, 1), (1, 0.5), (2, 1), (3, 1.5), (4, 2);     

 b)  (–4, –1), (–3, –1.5), (–2, –1), (–1, –0.5), (0, 0), (1, 0.5), (2, 1), (3, 1.5), (4, 2);     

 c)  (–4, –2), (–3, –1.5), (–2, –1), (–1, –0.5), (0, 0), (1, 1.5), (2, 1), (3, 1.5), (4, 2);     

 d)  (–4, –2), (–3, –1.5), (–2, –1), (–1, –0.5), (0, 0), (1, 0.5), (2, 1), (3, 1.5), (4, 2).

 8. Using x-values from –2 to 2, complete a table draw the straight line

y = 3x – 2

(make sure you draw the axes big enough).

 а)  (–2, –8), (–1, –5), (0, –2), (1, 3), (2, 4);     

 b)  (–2, –6), (–1, –5), (0, –2), (1, 1), (2, 4);     

 c)  (–2, –8), (–1, –5), (0, –1), (1, 1), (2, 4);     

 d)  (–2, –8), (–1, –5), (0, –2), (1, 1), (2, 4).

 9. Using x-values from –2 to 2, complete a table then draw

y = –3x.

 а)  (–2, 6), (–1, 3), (0, 0), (1, –3), (2, –8);     

 b)  (–2, 6), (–1, 2), (0, 0), (1, –3), (2, –6);     

 c)  (–2, 6), (–1, 3), (0, 0), (1, –3), (2, –6);     

 d)  (–2, 6), (–1, 3), (0, 0), (1, –2), (2, –6).

10. Complete the equation of the line through

(3, –1) and (4, 7).

 а)  y = 8x – 21;     

 b)  y = 8x – 25;     

 c)  y = 4x – 25;     

 d)  y = 84x – 21.

11. Complete the point-slope equation of the line through

(1, 0) and (6, –3).

 а)  y – (–3)= –0,6x + 3,6;     

 b)  y – (–3)= –0,6x + 2,6;     

 c)  y – (–3)= –0,8x + 3,6;     

 d)  y – (–3)= –0,6x + 3,2.

12. What is the slope of the line?

y + 2 = –2(x – 3)

 а)  1;        b)  –¹/₂;     

 c)  –1;      d)  –2.