Algebra I
Solving Equations of a Line
Gradient
Graphing
Intercepts
100
If x=2 and y=3, what is the solution to 4y - 2x ?
8
100
The equation of a line with y-intercept 2 and a gradient of -3 is
y = -3x + 2
100
The gradient of the equation y = -8x + 2 is:
-8
100
Graph x = 4
100
Find the y intercept of y = 4x +5
(0,5)
200
Simplify the following expression: 3a2b - 2a2b
a2b
200
What is the solution to the following equation:
6x - 3 = 21
x = 4
200
What is the slope of the line y = -2
0
200
Decide if the point (-2, 7) is on the line y = -3x + 1
1. 7 = -3(-2) + 1
2. 7 = 7
3. LHS = RHS so YES
200
Find the x and y intercept of 4x + y = 8
(2, 0) and (0,8)
300
-7xy / 14y
-x / 2
300
What is the solution to the following equation:
n / 4 + 5 = 7
n = 8
300
1. Rise = up 4 (+4), run = left 2 (-2)
2. 4 / -2 = -2
3. Gradient = -2
300
Find the equation of the line represented by this graph:
1. y - intercept = 4, gradient = 4 / -4 = -1
2. y = -x + 4
300
What are the x and y intercepts of these 2 lines:
Red = (1,0) and (0, 0.6)
Blue = (8,0) and (0,-4)
400
Simplify: b - 6b + 7a2+ a
-5b + 7a2 + a
400
Solve: 6(h - 12) = 18
1. 6h - 72 = 18
2. h = 15
400
The gradient of the equation 4x - 2y = 8 is:
1. 2y = 4x - 8
2. y = 2x - 4
3. Gradient = 2
400
Graph y = 1/3x + 2 using the slope and y - intercept
400
Find the x - intercept of 2(3x + 5y + 1) = 4x
1. 6x + 10y +2 = 4x
2. 2x + 10y = -2
3. (-1,0)
500
Expand and simplify: x(2x + 1) – 2(3x – 2)
1. 2x2 + x - 6x + 4
2. 2x2 - 5x + 4
500
Solve and check your answer: 4x - 2 = x + 7
1. 4x - x = 7 + 2
2. 3x = 9
3. x = 3
CHECK: 4(3) - 2 = 3 + 7
10 = 10
500
Find the gradient given these two points on the line:
(2, 5) and (4, 13)
1. 13 - 5 / 4 - 2 = 8 / 2
2. Gradient = 4
500
Graph 2y - 2x = 8 by finding the intercepts
1. x - intercept = (-4, 0), y - intercept = (0,4)
500
Find the y - intercept of 2(3x + 5y + 1) = 4x
1. 6x + 10y + 2 = 4x
2. 2x + 10y = -2
3. y = -2/10 or -0.2