Solve Multiplication Inequalities Quick Check
1 of 51 of 5 Items
Question
Solve 8x>24.(1 point)
Responses
x>16
x greater than 16
x<3
x less than 3
x>3
x greater than 3
x<16
x less than 16
To solve the inequality 8x > 24, you can divide both sides of the inequality by 8:
(8x)/8 > 24/8
x > 3
So the correct response is x > 3.
Solve x/13<4/5 .(1 point)
Responses
x>525
x greater than Start Fraction 52 over 5 End Fraction
x<1345
x less than 13 Start Fraction 4 over 5 End Fraction
x<1025
x less than 10 Start Fraction 2 over 5 End Fraction
x<465
To solve the inequality x/13 < 4/5, you can multiply both sides of the inequality by 13:
(13)(x/13) < (13)(4/5)
x < 52/5
So the correct response is x < 52/5.
Solve the inequality 4x>10 . Which of the following graphs shows the solution? (1 point)
Responses
A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 2.5. A leftward arrow is marked on the number line that originates at the open circle and goes beyond negative 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 2.5. A leftward arrow is marked on the number line that originates at the open circle and goes beyond negative 10.
A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 2.5. A rightward arrow is marked on the number line that originates at the open circle and goes beyond 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 2.5. A rightward arrow is marked on the number line that originates at the open circle and goes beyond 10.
A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 6. A rightward arrow is marked on the number line that originates at the open circle and goes beyond 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 6. A rightward arrow is marked on the number line that originates at the open circle and goes beyond 10.
To solve the inequality 4x > 10, you need to divide both sides of the inequality by 4:
(4x)/4 > 10/4
x > 2.5
So the correct response is the first image described: "A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 2.5. A leftward arrow is marked on the number line that originates at the open circle and goes beyond negative 10."
Use the image to answer the question.
A number line ranges from negative 10 to 10 with numbers listed in unit increments. An open point is plotted on the number line at 1.75. A leftward arrow is marked on the number line that originates at the open circle and goes beyond negative 10.
Nora solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?
(1 point)
Responses
8x>14
8 x greater than 14
6x<10.5
6 x less than 10.5
4x>7
4 x greater than 7
1.75x<3.5
Based on the given information about the number line, the correct inequality that Nora solved and graphed is: 1.75x < 3.5
So the correct response is: 1.75x < 3.5.
Solve the inequality 2/3x≤5 . Which of the following graphs shows the solution? (1 point)
Responses
A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 3 start fraction 1 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 3 start fraction 1 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 5 start fraction 2 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 5 start fraction 2 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 7.5. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 7.5. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 4 start fraction 1 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
Image with alt text: A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 4 start fraction 1 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10.
To solve the inequality (2/3)x ≤ 5, you can multiply both sides of the inequality by 3/2:
3/2 * (2/3)x ≤ 3/2 * 5
x ≤ 15/2
So the correct response is the second image described: "A number line ranges from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line at 5 start fraction 2 over 3 end fraction. A leftward arrow is marked on the number line that originates at the closed circle and goes beyond negative 10."