Inequalities and Linear Equations

• A number line with a closed circle at 0 and shading to the right.

• A number line with an open circle at 0 and shading to the left.

• A number line with a closed circle at 0 and shading to the left.

• A number line with an open circle at 0 and shading to the right.

• Slope: 2, y-intercept: 3

• Slope: -2, y-intercept: -3

• Slope: 2, y-intercept: -3

• Slope: -2, y-intercept: 3

• A number line with a closed circle at 5 and shading to the right.

• A number line with an open circle at 5 and shading to the left.

• A number line with a closed circle at 5 and shading to the left.

• A number line with an open circle at 5 and shading to the right.

• Slope: 2, y-intercept: 1

• Slope: 1, y-intercept: 2

• Slope: -2, y-intercept: 1

• Slope: 2, y-intercept: -1

Solve for x

3x − 8 ≥ 4(x − 1.5)

• x ≥ 3.5

• x ≤ 3.5

• x ≥ −2

• x ≤ −2

Solve the inequality

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Pick the correct letter for:
6 > x

• A

• B

• C

• D

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Find the Error
What error did the student make when solving the equation:
⅕x + 6 = ⅗x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2

• The student found an incorrect common denominator

• The student did not multiply all terms by the common denominator

• The student did not use opposite operations appropriately

• The student did not correctly eliminate the variable from one side of the equation

Solve the following equation for x:
4(2x - 3) = 6x + 2

• x = 5/2

• x = 7

• x = 1

• no solution