Day 100Quiz 2
I can apply the skills taught so far, show my reasoning, and check my answers.
Show what you know
Questions 1–1 review Unit 6 (20%). The remaining 4 questions assess the current unit. Show your work, simplify exact answers, label units, and explain when asked.
Quiz
Begin with the review questions, then continue through the current-unit questions.
- Previous unit review
Evaluate 8x + 6 for x = 2.
- Current unit
Solve x ÷ 5 = 1/5. Check in the original equation.
- Current unit
6 identical lengths of rope total 42 m. Let x be the length of one piece. Write and solve an equation, then check.
- Current unit
Let x be any real number. Write and graph: x is at most 28. Give one included value and explain whether the endpoint is included.
- Current unit
Which values in {9, 10, 11} satisfy x ≤ 10? Does the real-number inequality have only these solutions? Explain.
Answers and reasoning
Reveal the teacher answer key
- 22
Substitute first: 8 × 2 + 6 = 22.
- x = 1
Multiply by 5 on both sides. Then x = 1; substitution gives 1/5 on each side.
- 6x = 42; x = 7 m
Divide the total by 6: 42 ÷ 6 = 7.
- x ≤ 28; closed circle at 28, shade left
“at most” means ≤; include the endpoint. Example solution: 27.
- 9, 10; no, infinitely many real values satisfy it
Values below 10 work; the endpoint works too.