Math 8 Inequalities

Multiple Choice

Translate: The difference between the weight of John (j) and Alex (a) is at least 28.

• j + a ≥ 28

• j - a ≥ 28

• j + a ≤ 28

• j + a ≤ 28

Multiple Choice

CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.

6g < 23

• EXPRESSION

• EQUATION

• INEQUALITY

Multiple Choice

CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.

19 + x = 4

• EXPRESSION

• EQUATION

• INEQUALITY

Multiple Choice

CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.

5 > 3

• EXPRESSION

• EQUATION

• INEQUALITY

Multiple Choice

CHOOSE THE APPROPRIATE TERM TO DESCRIBE THE MATH SENTENCE.

5x + 3y

• EXPRESSION

• EQUATION

• INEQUALITY

Multiple Choice

AN ALGEBRAIC RELATION SHOWING THAT A QUANTITY IS GREATER THAN OR LESS THAN ANOTHER QUANTITY.

• EXPRESSION

• EQUATION

• INEQUALITY

Multiple Choice

Which of these can be written as an equation?

• Product of 7 and n is less than 11
• 5 times x minus 9
• Half of 8 plus b is 35
• 2 times w plus 14

Multiple Choice

Translate:

The number of Orange (o) more than twice the number of Mangoes (m) is greater than 30.

• o + 2m > 30

• o - 2m > 30

• o + 2m < 30

• o - 2m < 30

Multiple Choice

5y - 7 is an example of an ____________

• expression

• equation

Multiple Choice

Jean bought 2-blouse (b) and three shirts (s). They are paid not more than Php1, 200. Translate it to mathematical statement.

• 2b - 3s ≤ 1200

• 2b + 3s ≥ 1200

• 2b -3s ≥ 1200

• 2b + 3s ≤ 1200

Multiple Choice

Which of the following inequalities illustrate “the sum of 𝑥 and 𝑦 is at most 15”?

• 𝑥 + 𝑦 = 15

• 𝑥 + 𝑦 > 15

• 𝑥 + 𝑦 ≤ 15

• 𝑥 + 𝑦 ≥ 15

Multiple Choice

A number of Apples (a) more than thrice the number of berries (b) is greater than 30.

• a +3b > 30

• a +3b > 30

• a + 3b≤ 30

• a +3b≥ 30

Multiple Choice

Which of the following is a linear inequality in two variables?

• 𝑥 + 𝑦 = 2

• 𝑥 + 5 > 8

• 3𝑚 + 5𝑛 < 10

• 3𝑞 – 2𝑞 ≠ 6

Multiple Choice

Six times the number of male teachers (m) is the number of female teachers (f).

• 6m > f

• 6m < f

• 6m = f

Multiple Choice

The difference between Elias height and Ronald height is not more than 1.5 ft. Which mathematical statement represents the difference

in the height of Elias and Ronald?

• x - y ≥ 1.5

• x - y ≤ 1.5

• x - y < 1.5

• x - y > 1.5

Multiple Choice

For this symbol,
$$\le$$
is it a solid line or a dashed line?

Multiple Choice

For this symbol,
$$\ge$$
do you shade above or below the line?

Multiple Choice

For this symbol,
$$\le$$
do you shade above or below the line?

Multiple Choice

Which of the following is a solution of the inequality
$$y>x+7$$  

• (-3, 2)

• (-1, 5)

• (-9, 6)

• (0, 7)

Multiple Choice

Consider the function y<2x+3. Which is true?

• The line would be solid with shading above.
• The line would be dashed with shading above.
• The line would be solid with shading below.
• None of these.

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, -10)
• (-1, 5)
• (5, 20)

Multiple Choice

What type of line is used with the following symbols, < and >?

• dashed or dotted

• solid

Multiple Choice

What type of line is used with the following symbols, < and >?

• dashed or dotted

• solid

Multiple Choice

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

• Yes because it is located in the shaded region.

• No because it is located on the line and the line is dotted.

• Yes because it is located on the line.

• No because it is in the shaded region.

Multiple Choice

How can I tell if the graph of an inequality will have a solid line?

• It has just an equal sign.
• The symbol is greater than.
• The symbol has "or equal to."
• You just guess.

Multiple Choice

Which of the following inequalities is shown graphed here?

• $$y>x+4$$  

• $$y<x+4$$  

• $$y\le x+4$$  

• $$y\ge x\ +4$$  

Multiple Choice

Which of the following inequalities is shown graphed here?

• $$y>x+4$$

• $$y<x+4$$

• $$y\le x+4$$

• $$y\ge x\ +4$$

Multiple Choice

Which of the following inequalities is shown graphed here?

• $$y>-\frac{1}{2}x+7$$

• $$y\ge-\frac{1}{2}x+7$$

• $$y<-\frac{1}{2}x+7$$

• $$y\le-\frac{1}{2}x+7$$

Multiple Choice

Which of the following inequalities is shown graphed here?

• $$5x\ +\ y>10$$

• $$5x\ -\ y<10$$

• $$5x\ +\ y<10$$

• $$5x\ -y>10$$

Multiple Choice

Which of the following inequalities is shown graphed here?

• $$x-3y>6$$

• $$3x\ +\ y>6$$

• $$x-3y\ <6$$

• $$3x\ +\ y<6$$

Multiple Choice

Which of the following inequalities is shown graphed here?

• $$x<-5$$

• $$y<-5$$

• $$x>-5$$

• $$y>-5$$

Multiple Choice

Which of the following is a solution of the inequality
$$x-2y\ >10$$  

• (-3, -7)

• (-6, 5)

• (8, -1)

• (3, -3)

Multiple Choice

Which of the following inequalities is shown graphed here?

• $$y<-4x+8$$

• $$y>-4x+8$$

• $$y\ge-\frac{1}{4}x+8$$

• $$y\le-\frac{1}{4}x+8$$

Multiple Choice

Which of the following is a solution of the inequality
$$x-2y\ \le10$$  

• (-3, -7)

• (6, -3)

• (8, 1)

• (7, -4)

Multiple Choice

Which of the following inequalities is shown graphed here?

• $$y<6$$

• $$y\le6$$

• $$y>6$$

• $$y\ge6$$

Multiple Choice

Which of the following inequalities is shown graphed here?

• $$y<6$$

• $$y\le6$$

• $$y>6$$

• $$y\ge6$$

Multiple Choice

Which ordered pair IS a solution of the inequality shown in the graph?

• (1, 0)

• (2, -2)

• (-1, -1)

• (-1, 3)

Multiple Choice

Choose the correct inequality for this graph.

• $$y>2x-3$$

• $$y\ge2x-3$$

• $$y<2x-3$$

• $$y\le2x-3$$

Multiple Choice

Choose the correct inequality for this graph.

• $$y>-x+2$$

• $$y\ge-x+2$$

• $$y<-x+2$$

• $$y\le-x+2$$

Multiple Choice

Consider the inequality, y < 2x + 3. Which is true?

• The line would be solid with shading above.

• The line would be dotted with shading above.

• The line would be solid with shading below.

• None of the above

Multiple Choice

How can you tell if an inequality will have a dotted line?

• It has an equal sign.

• The symbol has "or equal to".

• The symbol is greater than or less than.

• You just guess.

Multiple Choice

The inequality, x < 2, will make what type of line?

• dashed, vertical

• dashed, horizontal

• solid, vertical

• solid, horizontal

Multiple Choice

The inequality, y < 2, will make what type of line?

• solid, horizontal

• solid, vertical

• dashed, horizontal

• dashed, vertical

Multiple Choice

Which inequality matches the picture shown?

• y > x

• y < x

• y > x

• y < x

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, -10)
• (-1, 5)
• (5, 20)

Multiple Choice

Consider the function y < 2x + 3, which of the following is true?

• The line would be solid with shading above.

• The line would be dashed with shading above.

• The line would be solid with shading below.

• The line would be dashed with shading below.

Multiple Choice

Which ordered pair IS a solution of the inequality shown in the graph?

• (1, 0)

• (2, -2)

• (-1, -1)

• (-1, 3)

Multiple Choice

Choose the correct inequality for this graph.

• $$y>\frac{1}{3}x-1$$

• $$y\ge\frac{1}{3}x-1$$

• $$y<3x+1$$

• $$y\le3x+1$$

Multiple Choice

Choose the correct inequality for this graph.

• $$y<-1$$

• $$y\le-1$$

• $$x<-1$$

• $$x\le-1$$

Multiple Choice

Choose the correct inequality for this graph.

• $$y>-2$$

• $$y\ge-2$$

• $$x>-2$$

• $$x\ge-2$$