Solving equations
x - 4 = 9
x = 13
2x > 8
x > 4
4 < x + 1 ≤ 9
3 < x ≤ 8
|x - 4| = 1
x = 5, x = 3
Scarlett is solving this inequality: 2(x - 11) < 19
After her first step, she has 2x - 22 < 19. What is the justification/ reason for this step?
Distributive property
2x + 1 = 15
x = 7
5x - 6 ≤ 14
x ≤ 4
11x - 7 ≥ 15 or 3x + 4 < -2
x ≥ 2 or x < -2
|2x + 3| + 11 = 10
No solution
The cost for a group of 4 people to buy fair tickets, including parking, is seen below.
4p + 25 = 105
What does 25 represent?
The one-time parking fee
3(x - 4) = 18
x = 10
-2x + 14 > 22
x < -4
12 ≤ -4x - 8 < 16
-5 ≥ x > -6
|x - 3| - 5 > 9
x > 17, x < -11
Kora is at the gym. She spends some time lifting weights, and the rest of the time running at a constant speed. The equation shows her time at the gym. How fast was she running?
8m + 30 = 60
8 miles per hour
1/2(x - 6) + 3 = 5
x = 10
1/3(x + 3) > -4
x > -15
1/3(x + 9) < 1 or -x + 9 ≤ 10
x < -6 or x ≥ -1
|1/5x + 3| - 10 = -6
x = 5, x = -35
400x + 5000 = 30000
What does 400 represent?
The monthly loan bill amount
-2(x - 3) + 11 = 5x - 4
x = 3
-4(x + 6) + 13 > 5x + 7
x < -2 or -2 > x
7 ≤ -5(x + 2) - 17 < 18
-34/5 ≥ x > -9
|-x - 5| + 14 < 16
x > -7, x < -3
Becca needs to raise at least $500 for a fundraiser. Yesterday, she made $274. She sells products for $6 each. Write an inequality that can be used to solve how many products she needs to sell today.
6x + 274 ≤ 500