Open Up - Grade 8 - Mathematics - Unit 4 - Lesson 10

Match the lines m and n to the statements they represent:

A. A set of points where the coordinates of each point have a sum of 2

B. A set of points where the y-coordinate of each point is 10 less than its x-coordinate

Match the labeled points on the graph to statements about their coordinates:

Here is an equation: 4x - 4 = 4x +____ . What could you write in the blank so the equation would be true for:

No values of x

Here is an equation: 4x - 4 = 4x +____ . What could you write in the blank so the equation would be true for:

All values of x

Here is an equation: 4x - 4 = 4x +____ . What could you write in the blank so the equation would be true for:

One value of x

Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors.

Priya babysits her neighbor’s children. The table shows the amount of money m she earns in h hours. Priya and Mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of work hours.

How many hours do they have to work before they go to the movies?

Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors.

Priya babysits her neighbor’s children. The table shows the amount of money m she earns in h hours. Priya and Mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of work hours.

How much will they have earned?(Round to the nearest cent)

Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors.

Priya babysits her neighbor’s children. The table shows the amount of money m she earns in h hours. Priya and Mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of work hours.

Explain where the solution can be seen in tables of values, graphs, and equations that represent Priya's and Mai's hourly earnings.

For each equation, explain what you could do first to each side of the equation so that there would be no fractions. You do not have to solve the equations

\frac{3x-4}{8}=\frac{x+2}{3}

For each equation, explain what you could do first to each side of the equation so that there would be no fractions. You do not have to solve the equations

\frac{3(2-r)}{4}=\frac{3+r}{6}

For each equation, explain what you could do first to each side of the equation so that there would be no fractions. You do not have to solve the equations

\frac{4p+3}{8}=\frac{p+2}{4}

For each equation, explain what you could do first to each side of the equation so that there would be no fractions. You do not have to solve the equations

\frac{2(a-7)}{15}=\frac{a+4}{6}