Math 6 - Lesson 8.2A: Writing Linear Equations

Isaiah has h baseball cards. Miguel has 7 more baseball cards than Isaiah. Write an expression for the number of baseball cards that Miguel has in terms of h.

• (h + 7) cards

• (h - 7) cards

• none of those

• (2h + 7) cards

Isaiah has h baseball cards. Miguel has 7 more baseball cards than Isaiah. If Miguel has k baseball cards, express k in terms of h.

• k = h + 7

• k = h - 7

• h = k - 7

• h = k + 7

Isaiah has h baseball cards. Miguel has 7 more baseball cards than Isaiah. If Miguel has k baseball cards, express k in terms of h. State the independent and dependent variables.

• Independent variable: none; Dependent variable: k

• Independent variable: h; Dependent variable: none

• Independent variable: k; Dependent variable: h

• Independent variable: h; Dependent variable: k

Write an equation for each of the following. Then state the independent and dependent variables for each equation. Hannah took p minutes to jog around a park. Sofia took 12 minutes longer to jog around the park. If Sofia took t minutes to jog around the park, express t in terms of p.

• t = p + 12 Independent variable: t; Dependent variable: p

• t = p + 12 Independent variable: p; Dependent variable: t

• p = t + 12 Independent variable: p; Dependent variable: t

• p = t + 12 Independent variable: t; Dependent variable: p

Write an equation for each of the following. Then state the independent and dependent variables for each equation. A bouquet of roses costs $30. A bouquet of tulips costs m dollars less. If the cost of one bouquet of tulips is n dollars, express n in terms of m.

• m = 30 – n. Independent variable: m; Dependent variable: n

• m = 30 – n. Independent variable: n; Dependent variable: m

• n = 30 – m. Independent variable: n; Dependent variable: m

• n = 30 – m. Independent variable: m; Dependent variable: n

Write an equation for each of the following. Then state the independent and dependent variables for each equation. Nathan has 7 boxes of marbles. Each box contains b marbles. If he has c marbles altogether, express c in terms of b.

• b = 7c Independent variable: c; Dependent variable: b

• b = 7c Independent variable: b; Dependent variable: c

• c = 7b Independent variable: b; Dependent variable: c

• c = 7b Independent variable: c; Dependent variable: b

Write an equation for each of the following. Then state the independent and dependent variables for each equation. A motel charges Mr. Kim x dollars for his stay. Mr. Kim stayed at the motel for 12 nights. If the rate per night for a room is y dollars, express y in terms of x.

• $y\ =\ \frac{x}{12}$ Independent variable: y; Dependent variable: x
  

• $y\ =\ \frac{x}{12}$ Independent variable: x; Dependent variable: y

• $x\ =\frac{y}{12}$ ndependent variable: x; Dependent variable: y

• $x\ =\ \frac{y}{12}$ Independent variable: y; Dependent variable: x

Copy and complete the table. Then use the table to answer the questions. The width of a rectangular tank is 2 meters less than its length. If the length is p meters and the width is q meters, write an equation relating p and q.

• p = q/2

• p = q – 2

• q = 2p

• q = p – 2

Copy and complete the table. Then use the table to answer the questions. The width of a rectangular tank is 2 meters less than its length. Use the data to plot the points on a coordinate plane. Connect the points with a line.

• 
• 
• 
• none of those

Copy and complete each table. Then express the relationship between the two variables as an equation. Paul and Lee went to the library to borrow some books. Paul borrowed 6 more books than Lee.

• x = y/6

• y = x + 6

• y = x - 6

• x = y + 6