One Step at a Time
Don't Call Me After Midnight
Everyone thinks my runny nose is funny, but it's snot.
Be Positive |x|
Hiding in Plane Sight
100
Lyle wants to run at least 5 miles today. Write an inequality to represent this situation. Let m represent the number of miles Lyle runs.
m ≥ 5
100
Samantha has $60 to buy office supplies. She buys a $15 notebook and some pens for $2.50 each. Write an inequality to show how many pens x she can buy while staying within her budget. Then solve the inequality.
15 + 2.50x ≤ 60
x ≤ 18
100
What is the solution set of 3x−5 ≤ 6x−10 ≤ 5x−3?
Write your answer in set-builder notation.
{x| 5/3 ≤ x ≤ 7}
100
Solve the inequality |x - 6| > 19. Write in set builder notation.
{x| x < -13 or x > 25}
100
Graph y > -x - 4.
Negative slope (-1) boundary with dashed line through y-intercept of -4.
Shading should be above boundary.
200
The soccer team at Lincoln High School is playing 12 games this season. The team hopes to win at least 75% of its games. They have already won 5 games. How many more games must the team win in order to meet their goal?
4 games
200
Solve 3(2x−4)+5 ≥ 2(x+6)−7.
x≥3
200
Which statement(s) can be made to compare/contrast the following inequalities? Select all that apply.
1) h + 3 > -3 and 5h < 5
2) 10h < -60 or h + 3 > 4
a) Each graph contains all the points not included in the other except for the endpoints.
b) The endpoints are not the same for both.
c) The two graphs do not include -6 and 1.
A, C
200
What is the solution set of ∣x+3∣<−4?
∅ (empty set)
200
Graph 14x - 7y > -28.
y < 2x + 4
Dashed boundary, shaded below
300
Which solution set(s) can be represented by the graph? Select all that apply.
a) -x/2 ≥ 1
b) 32x ≥ 64
c) -30x ≤ -60
B, C
300
Larry is planning to buy a new bike, and he has $200 saved up. He plans to save $30 each week for the next few weeks. The bike he wants to buy costs $500. Write an inequality to represent how many weeks www it will take Larry to save enough money for the bike. Then, solve the inequality.
200+30w≥500
w≥10
Larry will need to save for at least 10 weeks.
300
Which statements can be made to compare and contrast the graphs of x ≤ 7 and x > 7? Select all that apply.
a) Both graphs have endpoints at -7.
b) The graph of x > 7 has an open circle with an arrow pointing to the left.
c) The graph of x > 7 has an open circle with an arrow pointing to the right.
d) The graph of x ≤ 7 has an open circle with an arrow pointing to the left.
e) The graph of x ≤ 7 has a dot (closed circle) with an arrow pointing to the left.
f) The graph of x ≤ 7 has a dot (closed circle) with an arrow pointing to the right.
g) Both graphs have endpoints at 7.
C, E, G
300
Solve the inequality:
|2x - 3| ≤ 7
Write in set builder notation.
{x|-2 ≤ x ≤ 5}
300
Graph 3(x - 5y) ≤ 15.
y ≥ 1/5x - 1
Solid line, shaded above
400
Solve 5n/8 ≥ -5. Then describe how the graph of the solution would look on a number line.
n ≥ -8.
The graph would have a dot/closed circle at -8. The arrow from the endpoint would point to the right.
400
Solve -5(2x−3)−4 ≥ 3(x+7)+8
-18/13 ≥ x
400
Which inequalities have no solution? Select all that apply.
a) 6x + 16 < 6x - 9
b) 3(y - 7) - 2 > 3(y + 7) - 2
c) 6(r + 3) > 6(r - 3)
d) 8m - 16 < 8m - 9
e) 4(p - 8) + 3 > 2(p + 7) + 2p
A, B, E
400
A survey of students who use reusable water bottles found that 40% always bring a reusable water bottle to school. The margin of error is within 3%. If x is the actual percent, which represents the range of students who always bring a reusable water bottle to school? Select all that apply.
a) |x - 40| ≤ 3
b) |x - 3| ≤ 40
c) {x| x ≥ -37 or x ≤ 43}
d) {x| 43 ≥ x ≥ 37}
A, D
400
Which ordered pairs are part of the solution set of 12(3x−2y)≥24?
a) (2, 1)
b) (0, 0)
c) (-1, -1)
d) (1, 0)
A, D
500
Solve the inequality 8x/−3<4/9. Write your answer in set-builder notation.
{x|x > -1/6}
500
Sienna is saving money to buy a new laptop. She currently has $120 and plans to save $15 every week. She wants to have at least $500 in her savings account by the end of the month, which is 4 weeks away.
Write an inequality to represent how many weeks w she needs to save to reach her goal. Then solve the inequality to find out how many weeks it will take her.
120+15w≥500
w≥25.33
It will take Sienna 26 weeks to save at least $500.
500
True or False: If a number is a solution of x ≥ 2 but not a solution of x ≤ 5, then the number is a solution of 2 ≤ x ≤ 5.
False
500
Complete the absolute value inequality so the graph represents the solution set of the inequality.
|x - 4| _________ 2
|x - 4| < 2
500
Graph 7x - 3y ≥ 21.
y ≤ 7/3x−7
Solid boundary, shaded under