MA 0090 Practice Mini-Test 4 Answers in red
Name
1.
If 12 fluid ounces of DoubleCola syrup is mixed with carbonated water to make 7 gallons of DoubleCola,
how many fluid ounces of syrup is needed to make 3 gallons? 5.14 fluid ounces.
2.
Suppose you need two tons of sand to make a 1,250 glass bottles. How many bottles can be made out
of 3.5 tons? 2,187.5 bottles, but since you can’t make half a bottle, it might make more sense to say 2,187.5
bottles.
3.
If 15 miles on a map is represented by a distance of 1.5 inches, how many inches goes with 22 miles?
2.2 inches.
4.
A 13 inch long stick is 33.02 centimeters long (measured in metric units). How many inches is 45
centimeters? 17.72 inches.
For problems 5-10, solve the given inequality.
13
2
5.
2x − 6 ≤ 7 x ≤
7.
−x + 3 ≤ 14 x ≥ −11
9.
2x + 3 < 2(3x − 2) + 4 x >
3
4
−3x − 4 > −8 x <
8.
3x + 2 < −5 x < − 73
10.
1
4
3
6.
1
5x + 7 < −2(4x − 3) x < − 13
MA 0090 Practice Mini-Test 4 Answers in red
2
For problems 11-14, write down the inequality (like x > 3) that goes with the given graph.
11.
12.
x<3
x < −1
13.
14.
x≤3
x ≥ −2
For problems 15-18, write the inequality in interval notation.
15.
−3 < x < 2 (−3, 2)
16.
17.
x ≤ 2 (−∞, 2]
18.
1 ≤ x < 4 [1, 4)
x > −3 (−3, ∞)
For problems 19-22, describe the set shown in interval notation.
19.
20.
(−3, 2]
21.
(−3, −1)
22.
(−∞, −1]
(2, ∞)
For problems 23-26, graph the set described in interval notation.
23.
24.
[−3, 2)
Solid dot on −3, hollow dot on 2, bar in between.
25.
(−3, ∞)
Hollow dot on −3, arrow to the right.
(1, 3]
Hollow dot on 1, solid dot on 3, bar in between.
26.
[0, 3]
Solid dot on 0, solid dot on 3, bar in between.
MA 0090 Practice Mini-Test 4 Answers in red
3
For problems 26-27, give the coordinates for the point shown in the graph.
27.
28.
(2, 1)
For problems 28-29, plot the point given.
29.
(−3, 2)
answer.
(−2, 3)
30.
answer.
(3, 3)