Linear Equations
Sketch a linear equation
You should have a graph with a straight line
Expand the following:
26
2 x 2 x 2 x 2 x 2 x 2
How do you write an unknown variable?
Using any letter
What is the key feature of a quadratic graph?
It is curved up or down
For the compound interest formula, what does the letter "r" represent?
Interest Rate
What is the linear equation? y = .....
y = mx + c
Simplify:
x3 × 6x2
6x5
Find the highest common algebraic factor of each pair of terms.
20x and 15x2n
5x
Which of the following is a quadratic equation:
A: 5x + 7
B: 5x2 + 7
B
What does the term exponential mean?
Increasing/decreasing at an increasing/decreasing rate
What is the y-intercept for of the following linear equation:
y = 6x - 5
y-intercept is -5
Simplify:
u8 / u3
u5
Expand and simplify:
(x+1)(x+3)
x2 + 4x + 3
What is the name of the minimum or maximum point of the quadratic graph?
Vertex
What is the name of the point on a graph that an exponential graph heads towards but never touches?
Horizontal Asymptote
For the equation 𝑦=4𝑥+7, complete the following table:
x -1 0 1 2
y
y 3 7 11 15
Simplify:
(r6 x 8r3) / (r2 x 4r)
2r15
Expand and simplify:
(x−2)(x−8)
x2 - 10x + 16
What is the y-intercept for the following quadratic equation:
y = x2 + 4x - 18
-18
What is the y-intercept for the following exponential equation:
y = 63x
1
The time in minutes and the temperature in degrees Celsius (°C) are given in the table:
Time 1 2 3 4
Temp. 8 11 14 17
What is the linear equation for this data?
y = 3x + 5
Simplify:
(w2y)4 × 8v19y2
8w8v19y6
Factorise:
x2 + 4x - 5
(x + 5)(x - 1)
What is the x-intercepts for the following quadratic equation:
x2 + 7x + 12
What is this number?
1.34 x 109
1,340,000,000