answers
Question Number. 1. In the following equation what is the y-intercept?
4y = 2x + 8.
Option A. 2.
Option B. 4.
Option C. 8. Ans✓✓✓ Correct Answer is. 2.
Explanation. First get rid of the 4 from RHS (divide all by 4) y = 0.5x + 2.
Intercept with y-axis is when x = 0. So put x = 0 and what is left?
(remember that 0.5 x 0 = 0).
Question Number. 2. How many times does the x-axis get crossed when
y = x2 -3.
Option A. 3.
Option B. 1.
Option C. 2. Ans✓✓✓ Correct Answer is. 1.
Explanation. y = x2 (a quadratic) is a shape like a 'U-curve' where the
bottom of the 'U' sits on the (0,0) point. The -3 means the 'U' is shifted
down the y-axis 3 places.
Question Number. 3. On a graph what is the intercept of y when 4y = x
+ 8.
Option A. 4.
Option B. 8.
, Option C. 2. Ans✓✓✓ Correct Answer is. 2.
Explanation. Use y = mx + c The 'c' is the y-intercept. 4y = x + 8 must be
converted to y = 1/4x + 8/4".
Question Number. 4. What is the equation of the line shown?.
Option A. y = 2x + 2.
Option B. y = -2-x.
Option C. y = x-2. Ans✓✓✓ Correct Answer is. y = -2-x.
Explanation. Slope (gradient) is 2/2 and is negative (i.e. -1). y-intercept
is -2. Equation of the line (y = mx + c) is y = -1x -2 or y = -2-x.
Question Number. 5. The graph points (9, 3) and (3, 1) what is the
slope?.
Option A. 9/5.
Option B. 1/3.
Option C. 3/1. Ans✓✓✓ Correct Answer is. 1/3.
Explanation. Slope = change in Y / change in = (3-1)/(9-3) = 2/6 = 1/3.
Question Number. 6. A straight line graph has the equation 3y = 12x-3
What is the gradient?.
Option A. 1/4.
Option B. 4/1.
Option C. 3/4. Ans✓✓✓ Correct Answer is. 4/1.