Solving Equations
6w=-54
w= -9
Solve m/k = x for k
k=m/x
Solve and graph the inequality.
2x < 18
x<9
Open circle on 9
Arrow points left
Find the slope of the line that passes through: (-2, 4) and (5, 1)
(4 - 1) / (-2 - 5) = 3/-7
Find the solution to the system of equations by graphing.
y = 2x + 2
y = x - 1
(-3, -4)
7d-1=13
d=2
3/2 c - d = e
Solve for c
2/3(e+d)
Solve and graph the inequality.
2h + 3 > 5
h > 1
open cicle
arrow points right
Write an equation in slope intercept form with slope 5 and y-intercept 4.
y=5x+4
Solve the system of equations buy graphing.
x = 3
y = 2x + 1
(3, 7)
14+2(4g-3)=40
g=4
t - 4s = -w
Solve for s
s=(w+t)/4
List a phrase that represents each inequality in word form.
> - at least, exceeds, above, more than
< - up to, fewer than, under
< - at most, no more than, at most, maximum
> - as few as, minimum, at least, no less than
Parallel, perpendicular, or neither?
y=3x-5
y=-1/3x+6
Perpendicular
Solve the system of equations.
4x + 2y = 8
2x + y = 4
No solution
40+14j=2(-4j-13)
j=-3
b = (d - f + g) / 3
Solve for d
d=3b+f-g
More than 300 cats were found in the Crazy Cat Lady’s backyard and barn. Write and graph an inequality to represent the situation.
c > 300 or 300< c
Open circle on 300
Arrow goes right
Put the following function into slope-intercept form: 8x - y +13 = 4
y = 8x + 9
Solve the system of equations by substitution
2x – 3y = –2
4x + y = 24
(5, 4)
Brian bought six toy cars for $48. How much did he spend on each toy car?
$8
Shelly, Margie, and Alison are going to collect cans for a local shelter. Shelly collects three times as many cans as Margie. Alison collects three cans less than Shelly. If Alison’s cans plus twice Margie’s cans equals Shelly’s cans plus fifteen, how many cans did each person collect? What equation did you use to solve?
3x-3+2x = 3x+15
Shelly= 27, Margie = 9, Allison = 24
You must be at least 18 years old to vote in the Presidential election. Write and graph an inequality representing the situation.
18 < v or v > 18
Closed circle on 18
Arrow goes right
Write the equation for the line that passes through the points (-3, 4) and (1, 5) in slope intercept form.
y=1/4x+4.75
Solve the system of equations with substitution.
x - 2y = -10
3x - y = 0
(2, 6)