One Step Inequalities
Simplify: x – 10 > 3
x > 13
If a graph had a closed circle above 2 and the arrow pointed to the right, what would the inequality be?
x - 2 ≥ 0
Carlos makes $9 per hour at his new job. On a busy night, he makes around $60 in tips. If Carlos wanted to make at least $150 tonight, how many hours would he need to work? Write an inequality that matches this situation? (Use h for hours)
9h + 60 ≥ 150
Solve: 4x + 3x > 28
x > 4
Solve: 2g + 9 > 23
g > 7
Simplify: 1 ≤ 𝑦/8
8 ≤ y
If a graph had an open circle above -3 and the arrow pointed to the right, what would the inequality be?
x > -3
Carlos makes $9 per hour at his new job. On a busy night, he makes around $60 in tips. If Carlos wanted to make at least $150 tonight, how many hours would he need to work? Which inequality when solved matches this situation? (Use h for hours)
h ≥ 10
Solve: 2m ≤ − 1/2 (m + 20)
m ≤ -4
Solve: -1/5b + 4 > 3
b < 5
Simplify: -5d >25
d < -5
What would the graph for this inequality look like?
2x + 2 > 2
Open circle
Above 0
Arrow pointing right
A school is putting on a talent show to raise money for the end of the year trip. It cost $200 to put on the show. If they charge $10 for each ticket to the talent show, how many tickets do they need to sell to raise at least $500 after paying for the cost of the show? Write an inequality represents the situation? (Use t for tickets)
10t - 200 ≥ 500
Solve: 6k + 10 < 46
k < 6
Solve: -9t - 7 ≥ 56
t ≤ -7
Simplify: a + 4 ≤ 1
a ≤ -3
What would the graph for this inequality look like?
-5x – 10 ≤ 5
Closed circle
Above -3
Arrow to the right
Your classmate wants to buy a new tablet. They want to save at least $500 to buy the tablet. They plan to save $25 per week. They already have $200 saved for their tablet. Which inequality would help your classmate figure out how many weeks they would need to save for their tablet? (Use w for weeks)
500 ≤ 25w + 200
Solve: 4(z + 6) ≥ 22
z ≥ − 1/2
Solve: -d + 19 ≥ 27
d ≤ -8
Simplify: -h/8 > 9
h < -72
Solve the following inequality and describe what the graph of the inequality would look like. (Hint: draw a graph on paper to help you!) -2b - 4 > 16
An open circle
Above -10
Arrow left
Writing a two-step inequality based on the situation below: Edgar goes to the fair. There is a $5 entrance fee, and it costs $3 per ticket. He wants to spend $20 or less at the fair. Use t for number of tickets.
3t + 5 ≤ 20
Solve: -y – 4 < 5 – 2y
y < 9
Solve: m/7 - 18 ≤ 31
m ≤ 7