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Open Up - Grade 7 - Mathematics - Unit 7 - Lesson 4

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Last updated about 3 years ago
12 Questions

M is a point on line segment KL. NM is a line segment. Select all the equations that represent the relationship between the measures of the angles in the figure.

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Which equation represents the relationship between the angles in the figure?

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Segments AB, EF, and intersect at point c, and angle ACD is a right angle. Find the value of .

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Select all the expressions that are the result of decreasing x by 80%.

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Andre is solving the equation 4(x+\frac{3}{2}) = 7. He says, “I can subtract \frac{3}{2} from each side to get 4x = \frac{11}{2} and then divide by 4 to get x =\frac{11}{8}.” Kiran says, “I think you made a mistake.”

How can Kiran know for sure that Andre’s solution is incorrect?

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Andre is solving the equation 4(x+\frac{3}{2}) = 7. He says, “I can subtract \frac{3}{2} from each side to get 4x = \frac{11}{2} and then divide by 4 to get x =\frac{11}{8}.” Kiran says, “I think you made a mistake.”

Describe Andre’s error and explain how to correct his work.

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Solve each equation.

\frac{1}{7}x + \frac{3}{4} = \frac{9}{8}.(Leave your answer as a fraction)

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Solve each equation.

\frac{2}{3} + \frac{1}{5}x = \frac{5}{6}.(Leave as fraction)

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Solve each equation.

\frac{3}{2} = \frac{4}{3}x + \frac{2}{3}.(Leave as fraction)

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Solve each equation.

0.3x +7.9=9.1

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Solve each equation.

11.03x =8.78+0.02

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A train travels at a constant speed for a long distance.
Write the two constants of proportionality for the relationship between distance traveled and elapsed time.

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