Tell whether the given value is a solution of the inequality. 4x ≤ 20; x = 2

Yes, 4(2) = 8 ≤ 20, so x = 2 is a solution.

No, 4(2) = 8 > 20, so x = 2 is not a solution.

No, 4(2) = 8 = 20, so x = 2 is not a solution.

Tell whether the given value is a solution of the inequality. 4. y + 5 > 8; y = 1

No, 1 + 5 = 6, which is not greater than 8, so y = 1 is not a solution.

Yes, 1 + 5 = 6, which is greater than 8, so y = 1 is a solution.

No, 1 + 5 = 6, which is equal to 8, so y = 1 is a solution.

Yes, 1 + 5 = 6, which is less than 8, so y = 1 is a solution.

Graph the inequality on a number line. 5. x

A number line with an open circle at 5 and shading to the left.

A number line with a closed circle at 5 and shading to the right.

A number line with an open circle at 5 and shading to the right.

A number line with a closed circle at 5 and shading to the left.

Graph the inequality on a number line. 6. w ≥ -1/4

A number line with a closed circle at -1/4 and shading to the right.

A number line with an open circle at -1/4 and shading to the left.

A number line with a closed circle at -1/4 and shading to the left.

A number line with an open circle at -1/4 and shading to the right.

You buy tickets to a professional football game. You are allowed to buy at most 4 tickets. Write and graph an inequality to represent the number of tickets you are allowed to buy.

Let t be the number of tickets. The inequality is t ≤ 4. The graph is a number line with a closed circle at 4 and shading to the left.

Let t be the number of tickets. The inequality is t ≥ 4. The graph is a number line with a closed circle at 4 and shading to the right.

Let t be the number of tickets. The inequality is t

Let t be the number of tickets. The inequality is t > 4. The graph is a number line with an open circle at 4 and shading to the right.

Graph the numbers that are solutions to both inequalities.

a ≤ 3 and a > 7, so a > 7 or a ≤ 3

7.4 - 7.7 Practice For use after Lessons

Authored by Laurel Rice

Mathematics

6th Grade

7.4 - 7.7 Practice For use after Lessons

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25 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tell whether the ordered pair is a solution of the equation. Is (0, 2) a solution to y = 2x?

True

False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tell whether the ordered pair is a solution of the equation. Is (2, 12) a solution to y = 6x?

True

False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tell whether the ordered pair is a solution of the equation. 3. y = 2x + 3; (3, 9) Is (3, 9) a solution to y = 2x + 3?

True

False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tell whether the ordered pair is a solution of the equation. 4. y = x + 4; (1, 3) Is (1, 3) a solution to y = x + 4?

True

False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the independent and dependent variables. The equation p = 8.65h gives the amount p (in dollars) of pay a clerk receives for working h hours. What is the independent variable? What is the dependent variable?

Independent variable: h (hours); Dependent variable: p (pay in dollars)

Independent variable: p (pay in dollars); Dependent variable: h (hours)

Independent variable: 8.65; Dependent variable: h (hours)

Independent variable: 8.65; Dependent variable: p (pay in dollars)

OPEN ENDED QUESTION

3 mins • 1 pt

Identify the independent and dependent variables. The equation P = 4s gives the perimeter P (in inches) of a square mouse pad with a side length of s inches. What is the independent variable? What is the dependent variable?

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the independent and dependent variables. The equation c = 42t + 42 gives the total cost c (in dollars) of a grocery bill with a sales tax of t percent (in decimal form). What is the independent variable? What is the dependent variable?

Independent variable: t (sales tax in decimal form); Dependent variable: c (total cost in dollars)

Independent variable: c (total cost in dollars); Dependent variable: t (sales tax in decimal form)

Independent variable: 42; Dependent variable: t (sales tax in decimal form)

Independent variable: 42; Dependent variable: c (total cost in dollars)

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7.4 - 7.7 Practice For use after Lessons

Tell whether the ordered pair is a solution of the equation. Is (0, 2) a solution to y = 2x?

Tell whether the ordered pair is a solution of the equation. Is (2, 12) a solution to y = 6x?

Tell whether the ordered pair is a solution of the equation. 3. y = 2x + 3; (3, 9) Is (3, 9) a solution to y = 2x + 3?

Tell whether the ordered pair is a solution of the equation. 4. y = x + 4; (1, 3) Is (1, 3) a solution to y = x + 4?

Identify the independent and dependent variables. The equation p = 8.65h gives the amount p (in dollars) of pay a clerk receives for working h hours. What is the independent variable? What is the dependent variable?

Identify the independent and dependent variables. The equation P = 4s gives the perimeter P (in inches) of a square mouse pad with a side length of s inches. What is the independent variable? What is the dependent variable?

Identify the independent and dependent variables. The equation c = 42t + 42 gives the total cost c (in dollars) of a grocery bill with a sales tax of t percent (in decimal form). What is the independent variable? What is the dependent variable?

Avocados cost $3 per pound. Which equation in two variables represents the cost of buying avocados?

Write the word sentence as an inequality. 1. A number n is at least 4.

Write the word sentence as an inequality. 2. A number x is less than 12.

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