Jeopardy: Expressions, Equations, and Inequalities Review

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Simplifying Expressions

What is the first step to simplify the expression 2x + 3x?

What is 5(3 + 2) simplified?

What do you get when you simplify the expression 6 - 2 + x + 1?

What is the simplified form of 4x² + 5x - 3 + 2x²?

What is the simplified form of (x + 4)(x + 4)?

Solving Equations

What is the solution to the equation x + 2 = 6?

What do you get when you solve the equation 3x - 2 = 19?

What is the solution to the equation 2x + 10 = 0?

What is the solution to the equation 4x + 5 = 15?

What is the solution to the equation 2x + 1 = 4?

Solving Inequalities

What is the solution to the inequality x + 5 > 8?

What do you get when you solve the inequality 2x - 4 < 10?

What is the solution to the inequality -3x + 3 > 0?

What do you get when you solve the inequality 2(x - 1) ≥ 8?

What is the solution to the compound inequality x + 2 < 6 or 3x - 8 ≥ 0?

Graphing Inequalities

How do you graph x > 2?

What does the graph of x ≤ -1 look like?

When graphing the inequality y > 2x + 3, what region do you shade?

What does the graph of y ≤ -1/2x + 4 represent?

What does the graph of the inequality y < x + 3 look like?

Answer Key

Simplifying Expressions

Q: What is the first step to simplify the expression 2x + 3x?

A: Combine like terms to simplify it.

Q: What is 5(3 + 2) simplified?

A: 15

Q: What do you get when you simplify the expression 6 - 2 + x + 1?

A: x + 5

Q: What is the simplified form of 4x² + 5x - 3 + 2x²?

A: 2x² + 5x - 3

Q: What is the simplified form of (x + 4)(x + 4)?

A: x² + 8x + 16

Solving Equations

Q: What is the solution to the equation x + 2 = 6?

A: x = 4

Q: What do you get when you solve the equation 3x - 2 = 19?

A: x = 7

Q: What is the solution to the equation 2x + 10 = 0?

A: x = -5

Q: What is the solution to the equation 4x + 5 = 15?

A: x = 2.5

Q: What is the solution to the equation 2x + 1 = 4?

A: x = 3/2

Solving Inequalities

Q: What is the solution to the inequality x + 5 > 8?

A: x > 3

Q: What do you get when you solve the inequality 2x - 4 < 10?

A: x ≤ 7

Q: What is the solution to the inequality -3x + 3 > 0?

A: x < -1

Q: What do you get when you solve the inequality 2(x - 1) ≥ 8?

A: x ≥ 5

Q: What is the solution to the compound inequality x + 2 < 6 or 3x - 8 ≥ 0?

A: x < 4 or x ≥ 8

Graphing Inequalities

Q: How do you graph x > 2?

A: A number line or coordinate plane with an open or closed dot.

Q: What does the graph of x ≤ -1 look like?

A: A closed circle at -1 and a shaded line to the right.

Q: When graphing the inequality y > 2x + 3, what region do you shade?

A: The area above a line but not including the line itself.

Q: What does the graph of y ≤ -1/2x + 4 represent?

A: The area below the line including the line itself.

Q: What does the graph of the inequality y < x + 3 look like?

A: A dashed line for y < x + 3 and shading below the line.