Graphing Inequalities
1 Step Equations
+ or -
+ or -
1 Step Equations
X or /
X or /
Solving Inequalities
Ratios and Rates
100
Would the graph of this inequality have an open dot, or a closed dot?
f + 7 > 15
open
100
Solve for X:
x+ 4= 29
x= 25
100
Solve for x:
3x=12
x=4
100
Which value of X makes the inequality true:
78 + x ≥ 194
x ≥ 116
100
Bobby makes 35 keychains in 7 hours. How many keychains can Bobby make in 15 hours?
Bobby can make 75 keychains in 15 hours.
200
Which number line below would solve the following inequality?
4b < 16
A.
B.
C.
D.
D.
200
Solve for x:
x-9 = 45
x= 54
200
Solve for x:
x/ 4= 54
x= 216
200
A student needs to collect at least 10 flowers for a science project. The student has already collected 3 flowers. The inequality shown can be used to find n, the number of flowers the student still needs.
n + 3 ≥ 10
Which inequality represents the solution set for this situation?
A.n ≤ 13
B.n ≥ 13
C.n ≤ 7
D.n ≥ 7
D.n ≥ 7
200
Mr. Bennett has found that of his students make a grade of B on their weekly test. If he has 120 students, how many of them will make a B on the next weekly test?
40 students
300
Jeff needs at least 75 dollars to buy the bicycle he wants. He has earned
$32.75 from mowing lawns and has spent $15 on a bicycle helmet.
The inequality 75 ≤ m – 15 + 32.75 can be used to find, m, the amount of
money he still needs to buy the bicycle. Which number line best represents
the solution to the inequality?
A.
B.
C.
D.
D.
300
What value of x makes this equation true?
-40 = -50 + x
A.-90
B.90
C.-10
D. 10
x= 10
300
An equation is shown below.
7x = –56
What value of x makes the equation true?
A.x = –63
B.x = –8
C.x = –0.125
D.x = –392
B. x= -8
300
An inequality is shown below.
–6x ≤ 45
write an inequality that shows the solution set.
x ≥ -7.5
300
If three out of every 10 high school students are licensed drivers, about how many students would be expected to have drivers' licenses in a high school with 700 students?
210 students
400
Kiera is making small loaves of pear bread to give as gifts to her neighbors. She has all of the ingredients except for the pears. Kiera would like to keep the cost of the pears to no more than $16. Pears cost $3.20 a pound. The inequality 3.2p ≤ 16 can be used to determine the number of pounds of pears, p, that Kiera can purchase. Which number line best represents the solution to the inequality?
A.
B.
C.
D.
A.
400
Jeremy spent a total of $79.16 on a shirt and one pair of jeans. He knows the jeans cost $49.95 but he does not know the cost of the shirt, s. He created the model shown to find the cost of the shirt.
A. What is s, the cost of the shirt?
B. Write an equation to represent this situation.
A. 29.21
B. 49.95 + s = 79.16
400
An equation is shown below.
7x = –56
What value of x makes the equation true?
x= -8
400
Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?
A. 1.5x ≥ 60; x ≥ 40
B. 1.5x ≤ 60; x ≤ 40
C. ≤ 60; x ≤ 40
D. ≥ 60; x ≥ 40
B. 1.5x ≤ 60; x ≤ 40
400
Duncan drove 150 miles and used eight gallons of gasoline. Ryan drove 100 miles and used six gallons of gasoline. Duncan said that they used gasoline at the same rate. Is he correct?
A.No, because the mileage per gallon of gas is not equivalent.
B.Yes, because even though they drove different distances, the amount of gas used balanced out the difference.
C.No, because they drove different distances.
D.Yes, because the mileage per gallon of gas is equivalent.
A.No, because the mileage per gallon of gas is not equivalent.
500
x – 3.2 ≤ 4
Which number line best represents the solution to the inequality?
A.
B.
C.
D.
C.
500
Chris wants to draw a set of complementary angles labeled and
. Chris knows that the measure of
is 23˚. Which statement about the measure of
is true?
A.m = 203˚, because x - 23 = 180
B.m = 67˚, because x - 23 = 90
C.m = 157˚, because 23 + x = 180
D.m = 67˚, because 23 + x = 90
D.m = 67˚, because 23 + x = 90
500
An inequality is shown below.
–8x ≤ 38
What inequality represents the solution set?
A. x ≤
B.x ≤ 46
C.x ≥
D.x ≥ 46
C.x ≥
500
Alejandra has $800 in her checking account. She wants to spend part of this money on a computer. She wants to have at least $350 left in her checking account after buying the computer. The inequality shown can be used to find t , the amount of money in dollars that Alejandra can spend on the computer.
Write an inequality to represent this situation
t + 350 ≤ 800
500
In a 1997 survey, of United States households had three televisions. Using this ratio, how many of the 7,800 households in a small town will have three televisions?
A.2,554
B.2,850
C.2,914
D.2,964
D. 2,964