Real Numbers

Help Questions

Algebra › Real Numbers

Questions 1 - 10
1

Which line plot corresponds to the inequality below?

Question_1_correct

Question_1_incorrect_1

Question_1_incorrect_2

Question_1_incorrect_3

Explanation

A closed circle indicates "greater than or equal to" or "less than or equal to," while and open circle indicates "greater than" or "less than". We can tell from the inequality that our line plot will only have closed circles, as the only symbol is "greater than or equal to."

Subtract from both sides.

Divide both sides by .

Our plot will show a closed circle on , and extend infinitvely in the positive direction.

2

What inequality is represented by the number line?

Question_5

Explanation

An open circle indictes "less than" or "greater than," while a closed circle indicates "greater than or equal to" or "less than or equal to".

This number line includes values that are less than or greater than or equal to . Note how has an open circle, while has a closed circle.

3

Which line plot corresponds to the inequality below?

Question_1_correct

Question_1_incorrect_1

Question_1_incorrect_2

Question_1_incorrect_3

Explanation

A closed circle indicates "greater than or equal to" or "less than or equal to," while and open circle indicates "greater than" or "less than". We can tell from the inequality that our line plot will only have closed circles, as the only symbol is "greater than or equal to."

Subtract from both sides.

Divide both sides by .

Our plot will show a closed circle on , and extend infinitvely in the positive direction.

4

A plane flies at a rate of 210mi/h. If the plane has flown for five hours, how many miles has it traveled?

1050mi

42mi

215mi

840mi

1000mi

Explanation

Multiply the rate of travel (210 mi/hr) by the time traveled (5 hours), and you get the total distance, 1050 miles.

distance = rate * time

distance = (210mi/hr)(5hr)

distance = 1050mi

5

What inequality is represented by the number line?

Question_5

Explanation

An open circle indictes "less than" or "greater than," while a closed circle indicates "greater than or equal to" or "less than or equal to".

This number line includes values that are less than or greater than or equal to . Note how has an open circle, while has a closed circle.

6

Simplify the radical.

Cannot be simplified further.

Explanation

Find the factors of 128 to simplify the term.

We can rewrite the expression as the square roots of these factors.

Simplify.

7

Simplify the radical.

Cannot be simplified further.

Explanation

Find the factors of 128 to simplify the term.

We can rewrite the expression as the square roots of these factors.

Simplify.

8

Which line plot corresponds to the inequality below?

Question_1_correct

Question_1_incorrect_1

Question_1_incorrect_2

Question_1_incorrect_3

Explanation

A closed circle indicates "greater than or equal to" or "less than or equal to," while and open circle indicates "greater than" or "less than". We can tell from the inequality that our line plot will only have closed circles, as the only symbol is "greater than or equal to."

Subtract from both sides.

Divide both sides by .

Our plot will show a closed circle on , and extend infinitvely in the positive direction.

9

A plane flies at a rate of 210mi/h. If the plane has flown for five hours, how many miles has it traveled?

1050mi

42mi

215mi

840mi

1000mi

Explanation

Multiply the rate of travel (210 mi/hr) by the time traveled (5 hours), and you get the total distance, 1050 miles.

distance = rate * time

distance = (210mi/hr)(5hr)

distance = 1050mi

10

What inequality is represented by the number line?

Question_5

Explanation

An open circle indictes "less than" or "greater than," while a closed circle indicates "greater than or equal to" or "less than or equal to".

This number line includes values that are less than or greater than or equal to . Note how has an open circle, while has a closed circle.

Page 1 of 76
Return to subject