Which of the following values from the set $$\{-3, -1, 0, 2, 5\}$$ makes the inequality $$x - 4 > -5$$ true?

$$-1$$ , $$0$$ , $$2$$ , and $$5$$

$$-3$$ , $$-1$$ , $$0$$ , $$2$$ , and $$5$$

A teacher divides students equally into groups. If there are 48 students and each group has the same number of students, and the equation $$6g = 48$$ represents the situation, what does $$g$$ represent and what is its value?

$$g$$ represents the number of students per group; $$g = 8$$

$$g$$ represents the number of groups; $$g = 8$$

$$g$$ represents the number of groups; $$g = 6$$

$$g$$ represents the number of students per group; $$g = 6$$

A student claims that the expression $$5(x + 3) - 2x$$ is equivalent to $$3x + 15$$ . Using substitution with $$x = 4$$ , determine whether the student's claim is correct and explain which answer choice best supports your reasoning.

The student is correct; both expressions equal 27 when $$x = 4$$

The student is incorrect; $$5(x + 3) - 2x = 22$$ and $$3x + 15 = 27$$ when $$x = 4$$

The student is correct; both expressions equal 22 when $$x = 4$$

The student is incorrect; $$5(x + 3) - 2x = 30$$ and $$3x + 15 = 27$$ when $$x = 4$$

Jordan is saving money to buy a video game that costs $$\$$ 55 $$. He already has $$ \ $$28$$ saved and earns $$\$$ 9 $$ per hour doing chores. His friend says Jordan needs to work at least 3 hours to have enough money. Write an inequality to represent the total amount Jordan will have after working $$ h$ hours, and determine whether his friend's claim is correct.

$$28 + 9h \geq 55$$ ; the friend is incorrect because Jordan needs to work at least 4 hours

$$28 + 9h \geq 55$$ ; the friend is correct because 3 hours gives Jordan exactly $$\$$ 55$

$$9h - 28 \geq 55$$ ; the friend is incorrect because Jordan needs to work at least 9 hours

$$28 + 9h \geq 55$$ ; the friend is incorrect because Jordan needs to work at least 5 hours

Exploring Algebraic Concepts and Equations

Authored by Kenvy Cheveulon

Mathematics

6th Grade

Exploring Algebraic Concepts and Equations

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Marcus had some baseball cards. After giving away 14 cards to his friend, he had 23 cards left. Which equation represents this situation, and how many cards did Marcus start with?

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