Alg2A Review for Test 1: History and Inequalities

If you are asked to graph the inequality x ≤ 1, what should you do at 1 on the number line?

• Draw an open circle at 1 and shade to the right.

• Draw a filled-in circle at 1 and shade to the left.

• Draw a filled-in circle at 1 and shade to the right.

• Draw an open circle at 1 and shade to the left.

Who used clay tablets for recording and early comparisons of values around 2000 BCE?

• Babylonians

• Romans

• Greeks

• Egyptians

Who invented the coordinate plane in the 1600s, helping to shape the concept of the number line?

• René Descartes

• Isaac Newton

• Carl Friedrich Gauss

• Leonhard Euler

What was Euclid’s contribution to the understanding of inequalities?

• He formalized many basic mathematical ideas and influenced logical proof in geometry

• He invented the number zero

• He created the first calculator

• He discovered the law of gravity

Which inequality represents all numbers greater than or equal to -4?

• x > -4

• x < -4

• x ≥ -4

• x ≤ -4

What does a filled-in circle on a number line represent when graphing inequalities?

• The endpoint is not included.

• The endpoint is included.

• The number line is infinite.

• The inequality is an equation.

What is the correct inequality for all numbers between -8 and -2, not including -8 and -2?

• -8 < x < -2

• -8 ≤ x ≤ -2

• -8 > x > -2

• -8 ≥ x ≥ -2

Which of the following inequalities represents all numbers from -2 to 6, including both endpoints?

• -2 < x < 6

• -2 ≤ x ≤ 6

• -2 > x > 6

• -2 ≥ x ≥ 6

Which of the following inequalities represents all numbers greater than -4?

• x > -4

• x < -4

• x ≥ -4

• x ≤ -4

What is the correct inequality for all numbers between -7 and 1, not including -7 and 1?

• -7 ≤ x ≤ 1

• -7 < x < 1

• -7 > x > 1

• -7 ≥ x ≥ 1