Solving Linear Inequalities and Equations in One Variable

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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Tags

CCSS.7.EE.B.4B

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Pick the correct letter for:
6 > x

• A

• B

• C

• D

Tags

CCSS.6.EE.B.8

Solve the equation shown.

Show the work you do in finding your final answer on the paper provided.

Mathematical Equivalence

ON

Answer explanation

Tags

CCSS.7.EE.B.4A

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

Which of the following equations would have infinite solutions?

• 3x + 9 = 2x + 9

• 8x = 8x + 4

• 3(4x + 4) = 12x +4

• -5x + 10 = 10 - 5x

Tags

CCSS.8.EE.C.7A

conditions given to variables, often expressed as linear inequalities

• constraints

• elimination method

• vertex