Fun with Equations
Solve: 4x + 7 = 31
x = 6
Algebra: Is this a function: {(1, 2), (2, 3), (2, 4)}
Algebra: No
What is the y-intercept of a line that passes through the points (-2 , 11) and (5 , -17)?
(0 , 3)
Find the x- and y-intercept of the
line 2x + 3y = –18
x-intercept is –9; y-intercept is –6.
Find the value of x and y with these systems of equations.
y = 3x + 4,
y - 9 = 2x
x = 5, y = 19
Solve: 2(3x - 4) = 34
x = 7
Multiply the following (2x + 2)(3x - 1)
6x2 + 4x - 2
What is the equation of line in slope-intercept form?
y = mx + b
What is nine less than a third of seventy-two?
15
At what point do the x and y axis meet?
The origin.
Algebra: Solve for a: ax + b = c
Algebra: a = (c - b)/x
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
-8 + 2y = -6x and 3y - x = 6
perpendicular
What are the coordinates of A(-8 , 3) after reflected across the x-axis?
(-8 , -3)
**Bonus**. Find the value of x and y with these systems of equations.
2x + 6 = 3y,
8y = 16x - 16
x = 3, y = 4
**BONUS**. Solve:
3p - 1 = 5( p - 1) - 2(7 - 2p)
p = 3
Simplify: a(b + c) - 2a(c - b)
3ab - ac
Simplify: -4(8x - 2) -2(4 - 3x)
38x
Expand (2x – 6)2
4x2 - 24x + 36
Simplify: -(x + 7) -2(4x + 6)
-9x - 19
Solve: 3/7x + 6 = 9
x = 7
Solve for x.
12x2 - 3x2 - 110 = -29
x = 3
simplify: 4h2k + 4hk2 + 2k2 + 7hk2 - 2k - 3h2k
kh2 + 11hk2 + 2k
What is the slope of a line that passes through the points (-4 , 31) and (2 , -5)?
m = -6
Solve for the value x and y for these systems of equations.
0.5x + 3y = 17,
2y - 7x = 28
x = -2 , y = 6