Inequalities — Unit test Answers

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Which graph shows all the values that satisfy

Question illustration
A
A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward positive 10.
Option A
B
A number line goes from negative 10 to positive 10. An open circle appears at positive 7. The number line is shaded from positive 7 toward negative 10.
Option B
C
A number line goes from negative 10 to positive 10. An open circle appears at negative 7. The number line is shaded from negative 7 toward negative 10.
Option C
D
A number line goes from negative 10 to positive 10. An open circle appears at negative 7. The number line is shaded from negative 7 toward positive 10.
Option D
2
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To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame?

A
12 < x ≤ 12.2
B
12 > x ≤ 12.2
C
x > 12 or x ≤ 12.2
D
x < 12 or x ≤ 12.2
3

The axis of symmetry for a quadratic equation can be found using the formula , where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane.What is the equation when solved for a?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Cheryl has $56 and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60, which inequality shows n, the maximum number of notebooks she can buy with her money?

A
1.6 n greater-than-or-equal-to 56
Option A
B
1.6 n less-than-or-equal-to 56
Option B
C
56 n less-than-or-equal-to 1.6
Option C
D
56 n greater-than-or-equal-to 1.6
Option D
5

The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options.

A
$8
B
$9
C
$11
D
$13
E
$14
6

Which graph shows the solution set of the compound inequality or

Question illustration
A
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded between the two circles.
Option A
B
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.
Option B
C
A number line goes from negative 10 to positive 10. An open circle appears at negative 4. The number line is shaded from negative 4 toward negative 10.
Option C
D
A number line goes from negative 10 to positive 10. An open circle appears at positive 5. The number line is shaded from positive 5 toward positive 10.
Option D
7

Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?

A
(x + 30 + 60) = x
Option A
B
(x) = x(30 + 60)
Option B
C
x(30 + 60) = x
Option C
D
(x) = (30 + 60)
Option D
8

Which compound inequality is represented by the graph?

Question illustration
A
x < –4 or x ≥ 3
B
x < –4 and x ≥ 3
C
x ≤ –4 or x < 3
D
x ≤ –4 and x < 3
9

A water tank has 22 gallons of water. It begins to receive 26 gallons per hour for a number of hours. If the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling?

A
5.2
B
19
C
20.7
D
23
10

What is the solution to –4(8 – 3x) ≥ 6x – 8?

A
x ≥ –
Option A
B
x ≤ –
Option B
C
x ≥ 4
D
x ≤ 4
11

Solve the inequality.2(4+2x)≥5x+5

A
x≤−2
B
x≥−2
C
x≤3
D
x≥3

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