Quiz about 8.8ABC - Repre & Solutions/Equations/Inequalities

Question 1

Write a one-variable equation that represents the following problem: "The sum of three times a number and 5 is equal to twice the number plus 11."

Accepted Answer

$$3x + 5 = 2x + 11$$

Answer

$$3x - 5 = 2x + 11$$

Answer

$$3x + 5 = 2x - 11$$

Answer

$$3x - 5 = 2x - 11$$

Question 2

Solve the equation: $$4x - 7 = 2x + 5$$ .

Accepted Answer

$$x = 6$$

Answer

$$x = -6$$

Answer

$$x = 1$$

Answer

$$x = -1$$

Question 3

Which of the following inequalities represents the statement: "Five more than twice a number is less than or equal to the number minus three"?

Accepted Answer

$$2x + 5 \leq x - 3$$

Answer

$$2x + 5 \geq x - 3$$

Answer

$$2x - 5 \leq x + 3$$

Answer

$$2x - 5 \geq x + 3$$

Question 4

Write a real-world problem for the equation: $$5x + 2 = 3x + 10$$ .

Accepted Answer

"Five times a number increased by 2 is equal to three times the number increased by 10."

Answer

"Five times a number decreased by 2 is equal to three times the number decreased by 10."

Answer

"Five times a number increased by 2 is equal to three times the number decreased by 10."

Answer

"Five times a number decreased by 2 is equal to three times the number increased by 10."

Question 5

Solve the inequality: $$3x + 4 > 2x + 9$$ .

Accepted Answer

$$x < 5$$

Answer

$$x > 5$$

Answer

$$x > -5$$

Answer

$$x < -5$$

Question 6

Which equation represents the following situation: "The difference between four times a number and 6 is equal to the sum of the number and 10"?

Accepted Answer

$$4x - 6 = x + 10$$

Answer

$$4x + 6 = x + 10$$

Answer

$$4x - 6 = x - 10$$

Answer

$$4x + 6 = x - 10$$

Question 7

Write a real-world problem for the inequality: $$7x - 3 \geq 2x + 12$$ .

Accepted Answer

"Seven times a number decreased by 3 is greater than or equal to twice the number increased by 12."

Answer

"Seven times a number increased by 3 is greater than or equal to twice the number decreased by 12."

Answer

"Seven times a number decreased by 3 is less than or equal to twice the number increased by 12."

Answer

"Seven times a number increased by 3 is less than or equal to twice the number decreased by 12."

Question 8

Solve the equation: $$6x + 9 = 4x + 15$$ .

Accepted Answer

$$x = 3$$

Answer

$$x = -3$$

Answer

$$x = 6$$

Answer

$$x = -6$$

Question 9

Which inequality represents the statement: "The product of a number and 4 is at least 3 more than twice the number"?

Accepted Answer

$$4x \geq 2x + 3$$

Answer

$$4x \leq 2x + 3$$

Answer

$$4x \geq 2x - 3$$

Answer

$$4x \leq 2x - 3$$

Question 10

Write a real-world problem for the equation: $$2x + 8 = 5x - 4$$ .

Accepted Answer

"Twice a number increased by 8 is equal to five times the number decreased by 4."

Answer

"Twice a number decreased by 8 is equal to five times the number increased by 4."

Answer

"Twice a number increased by 8 is equal to five times the number increased by 4."

Answer

"Twice a number decreased by 8 is equal to five times the number decreased by 4."

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