Unit 1: Solving Equations and Inequalities Review

The video tutorial covers a review session for an upcoming unit exam. It includes solving equations and inequalities, identifying mistakes in problem-solving, and tackling word problems. The session also explains how to solve literal equations and simplify expressions. The teacher provides examples and encourages students to practice independently.

What is the first step in solving the equation 2(d + 5) - 1 = 3?

• Subtract 1 from both sides

• Add 1 to both sides

• Distribute the 2

• Combine like terms

After distributing and combining like terms in the equation 2(d + 5) - 1 = 3, what is the next step?

• Multiply by 2

• Divide by 2

• Subtract 9 from both sides

• Add 9 to both sides

In the equation -5(4x - 2) = -2(3 + 6x), what should you do after distributing?

• Combine like terms

• Move all x terms to one side

• Add 10 to both sides

• Subtract 10 from both sides

What is the solution to the equation -5(4x - 2) = -2(3 + 6x)?

• x = 3

• x = -2

• x = 2

• x = -3

When solving the inequality -2x - 3 > 6, what happens to the inequality sign when you divide by -2?

• It disappears

• It stays the same

• It flips

• It becomes an equal sign

What is the solution set for the inequality 1 - 2(x + 1) < 3x - 6?

• x < 1

• x > 1

• x < -1

• x > -1

In the equation 2x(4 + 2) = 2x + 8, what was the first mistake made?

• Incorrect distribution

• Incorrect addition

• Incorrect subtraction

• Incorrect division

If a taxi company charges $3 plus $0.75 per mile, how far can you travel with $54?

• 68 miles

• 72 miles

• 54 miles

• 51 miles

How far can Erica travel if she has at most $10 and the taxi charges $1.75 plus $0.65 per mile?

• 12 miles

• 13 miles

• 11 miles

• 10 miles

In the equation cx - dy = e, how do you isolate y?

• Subtract dy from both sides and divide by c

• Add dy to both sides and divide by c

• Subtract cx from both sides and divide by -d

• Add cx to both sides and divide by -d