8th grade Ch 2 L1

Solve each equation. Check your solution. 1. 60 = (3/4)p

• p = 80

• p = 45

• p = 120

• p = 75

Solve each equation. Check your solution. 2. (-27/25)x = -9/5

• x = 5

• x = -3

• x = 3/5

• x = -5

Solve each equation. Check your solution. 3. -2.7t = 810

• t = -300

• t = 300

• t = -270

• t = 270

Paula has read 70% of the total pages in a book she is reading for English class. Paula has read 84 pages. Define a variable. Then write and solve an equation to determine how many pages are in the book.

• Let p = total pages. 0.7p = 84, so p = 120.

• Let p = total pages. 0.7p = 84, so p = 100.

• Let p = total pages. 0.7p = 84, so p = 140.

• Let p = total pages. 0.7p = 84, so p = 154.

The multiplicative inverse is used to solve an equation with a rational coefficient by:

• Multiplying both sides of the equation by the reciprocal of the rational coefficient.

• Adding the rational coefficient to both sides of the equation.

• Dividing both sides of the equation by the rational coefficient.

• Subtracting the rational coefficient from both sides of the equation.

Solve each equation. Check your solution. 1. 6 = (1/12)v

• v = 72

• v = 36

• v = 12

• v = 18

Solve each equation. Check your solution. 2. (2/3)w = 60

• w = 90

• w = 40

• w = 120

• w = 30

Solve each equation. Check your solution. 3. (7/8)k = -21

• k = -24

• k = 24

• k = -3

• k = 3

Solve each equation. Check your solution. 4. 9.6 = 1.2b

• b = 8

• b = 6

• b = 10

• b = 12

Solve each equation. Check your solution. 5. 0.75a = -9

• a = -12

• a = 12

• a = -6.75

• a = 6.75