Solve for X
1/2x + 1/2x = 10
x = 10
1/5x = 2 + 5x
One solution
When graphing the inequality x > 4, do you use an open or closed circle?
Open
Sylvie needs $150 for a concert
ticket. She already has $30 and
she can earn the rest by working
8 hours at her job. If h represents
her hourly earnings, write an
equation that can be solved to find
Sylvie’s hourly earnings.
150 = 8h + 30
−2.5x − 7.5 = x + 6.5
x = -4
1/4x + 6 = 1/4x -3
No Solution
When must I flip the inequality sign?
When I multiply/divide the inequality by a negative number.
On a road trip, a family drives 200
miles the first day and 400 miles per
day each remaining day. How many
additional days, d, will they travel to
reach a distance of 1,400 miles?
3 days
-2.6x + 4 = .9x - 17
x = 6
.4(x + 3) = .4x + 1.2
Many Solutions
−x − 2.2 < 1.8
x > 4
A contractor buys 8.2 square feet of sheet metal. She used 2.1 square feet so far and has $183 worth of sheet metal remaining. Write and solve an equation to find out how much sheet metal costs per square foot using the variable d.
183 = 8.2d -2.1d
d = 30
1/3x + 2/9x = 10
x = 18
1/2x + 6 = 1/4(2x − 24)
No Solution
Where must I plot my point? Is it an open or closed point?
1/2x -4/2x ≤ 2/3
-4/9, closed.
Two towns have accumulated different amounts of snow. In Town 1, starting with 5 inches of snow, the snow depth is increased by 3 and 1/2 inches every hour. In Town 2, starting with 6 inches of snow, the snow depth is increased by 2 and 1/4 inches every hour. In how many hours will the snowfalls of the towns be equal?
4/5 or .8 or 48 minutes of an hour
-2.5(8x + 2) = -165
x = 8
4/5x + 3/8 = 3/5x + x + 7
One Solution
1/5x − 8 1/10 ≤ −9 3/10.
x ≤ 6
Maria and Liam work in a banquet hall. Maria earns a 20% commission on her food sales. Liam earns a weekly salary of $625 plus a 10% commission on his food sales. What amount of food sales will result in Maria and Liam earning the same amount for the week?
$6250