True or False
Graphing
Absolute Value
Word Problems
And/Or
100
When graphing x>3, it is an open dot going to the left.
False: Open dot going to the right
100
Graph -2<= x <= 4
100
Solve
[x] <2
-2 < x < 2
100
One fifth of a number is at most 30. Write an inequality, and solve.
100
3<= x + 2 <= 7
1<= x <= 5
200
Adding or subtracting by a negative number changes the direction of the sign.
False: multiplying and dividing negative numbers changes the direction of the sign.
200
Solve and Graph
-4 < r-5<= -1
1<r<=4
200
[x+ 8 ] >= 3
n<= -11
or
n>= -5
200
Write a compound inequality that represents each situation.
The wind speeds of a tropical storm are at least 40 mi/h but no more than 74 mi/h.
40 <= w <= 74
200
4x + 3 < -5
or
-2x +7 < 1
x < -2 or x > 3
300
true or false
When graphing the inequality, there will be a closed dot on 6 and an open dot on 2 and it will be shaded in-between.
2<3x-4<= 14
True
300
Graph the solution.
[ v-3] <=-4
no solution
300
[2x-1] >= 4
x<=-1 1/2
or
x>= 2 1/2
300
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets.
Write an inequality that represents Keith's situation.
How many weeks can Keith withdraw money from his account?
500 - 25x >= 200
x <= 12
300
2 < 3x -4 <= 14
2<n<= 6
400
[k] > 2.5 is an "Or" statement
True
400
Graph the solution.
[2y - 3] >= 7
Closed dot -2 going left.
Closed dot 5 going right.
400
[2x-5]<9
-2 < x < 7
400
On a trip from Virginia to Florida, The Sampson family wants to travel at least 420 miles in 8 hours of driving. What must be their average rate of speed?
8x >= 420
x>= 52.5
400
3 >= 4x - 5 >= -1
1<= x <= 2
500
Absolute value inequalities with less than/less than or equal to are "Or" statements.
False
500
Graph
[2y - 5] < -3
No Solution
500
[3x + 4] < 10
-4 2/3 < x < 2
500
The perimeter of an isosceles triangle is at most 27 cm. One side is 8 cm long. Find the possible lengths of the two congruent sides.
27>= 2s + 8
s<= 9.5
500
2x + 5 <= -1
or
-2x + 5 <= 5
x<= -3 or x>= 0