Year 10 Semester 1 Maths Revision

Algebra

Coordinate Geometry

Quadratics

Vocabulary

Harder Questions

100

if a=2, b=12, and c=48. Find:

$a^2 + c/b$

$8$

100

What does $m$ and $c$ stand for in the equation $y=mx+c$

m is the gradient, c is the y-intercept

100

The basic parabola is shifted 4 units up and 3 units right. What is the new equation?

$y=(x-3)^2+4$

100

The point where a graph crosses $x=0$

y-intercept

100

Simplify the following

$(4x^2)/(18(x-3)^2)xx(15(x-3))/(12x^4)$

$5/(18x^2(x-3))$

200

Simplify:

$(5x(x+3))/(15x)$

$(x+3)/3$

200

What is the gradient of a linear graph that goes through the points $(20,6)$ and $(8,0)$

$m=1/2$

200

What is the quadratic formula?

$x=(-b+-sqrt(b^2-4ac))/(2a)$

200

What is the graph of a quadratic called?

Parabola

200

Find the value of $a$ so that the line $ax-7y=8$ is parallel to the line $3y+6x=7$

$a=-14$

300

What is the simplified form of:

$(4+a/2)xx(2/(3a))$

$(8+a)/(3a)$

300

What is the midpoint between (-1, 5) and (19, -7)?

(9, -1)

300

Find the solutions to

$0=x^2-3x-28$

$x=-4, x=7$

300

What is the line between the numerator and the denominator called?

Vinculum

300

Determine the number and type of solutions to the quadratic with equation:

$y=3x^2+11x-4$

As the discriminant = 169, and $sqrt(169)=13$ therefore, there are 2 rational solutions

400

If a = 3, s = 2, and v = 28, Find u:

$v=u^2+2as$

$+-4$

400

Daily Double!

How many points are you willing to risk?

What is the distance between (-3, -2)

and (16, 41)?

400

Put the following equation into turning point form

$4x^2-7x+3$

$4(x-(7)/8)^2-1/16$

400

The three other ways to say the x-intercepts

Solutions, Roots, Zeros

400

If a parabola has x-intercepts at 4 and -8 and a maximum turning point at (-2,9) , what is the rule of the graph in factorised form?

$y=-1/4(x-4)(x+8)$

500

Solve for x:

$(4x+1)/3-(x-2)/4=2$

$x=14/13$

500

Find the equation of the line which passes through (1,2) and is perpendicular to the line with equation $y=3x-9$

$y=-1/3x+7/3$

500

Factorise the following expression:

$3a^4-14a^2-5$

$(3a^2+1)(a+sqrt(5))(a-sqrt(5))$

500

What is the vertical line which runs through the Turning Point?

Axis of Symmetry

500

Simplify

$(7x^2+35x+42)/(2x^2+11x+15)-:(x^2-4)/(2x^2+x-10)$

$=7$