Chapter 3

Writing Expressions & Equations

100

Define the variable and write an expression.
The difference of the number of days and thirteen

Let d = # of days
d - 13

200

Define the variable and write an expression.
The product of negative two and Rhonda's budget plus four

Let r = Rhonda's budget -2r + 4

300

Define the variable and write an expression.
The quotient of a number and eight minus twelve

Let x = a #
x/8 - 12

400

Define the variable, write an equation and then solve.
The total of seven and twice the distance to the park in miles is 13.

Let x = the distance to the park in miles
Equation: 7 + 2x = 13
Solution: x = 3 miles

500

Define the variable, write an equation and then solve.
Ten less than three times Dave's age is 35.

Let x = Dave's age
Equation: 3x - 10 = 35
Solution: x = 15 years old

Linear Equations

100

Create a chart, as practiced in class, and graph the function.
Function: y = 2x + 1

http://s3.amazonaws.com/mbc-bundles-production/bundles/cover_arts/000/163/427/medium/linear_equation_graph.gif?1367263433

200

Create a chart, as practiced in class, and graph the function.
Function: y = 3x + 1

http://hotmath.com/hotmath_help/topics/graphing-linear-equations/graphing-linear-equations2.gif

300

Create a chart, as practiced in class, and graph the function.
Function: y = 3x -3

http://www.ducksters.com/kidsmath/slope_intercept_graph2.gif

400

Create a chart, as practiced in class, and graph the function.
Function: y = 1/2 x + 2

http://t2.gstatic.com/images?q=tbn:ANd9GcTgrkAfmXMFM3kq9kyUMfe6Dr4U0fXu2zHULDJWw0j4z7uChX37:finntrack.co.uk/learner_support/images/600px-Linear_Function_Graph.svg.png

500

Create a chart, as practiced in class, and graph the function.
Function: y = 2x - 6

http://01.edu-cdn.com/files/static/learningexpressllc/9781576856734/Graphing_Equations_04.gif

2-Step Equations

100

Show cancellation work on EACH side of the equation.
2x + 3 = 15

x = 6

200

Show cancellation work on EACH side of the equation.
3x - 6 = -12

x = -2

300

Show cancellation work on EACH side of the equation.
-8h + 10 = 18

h = -1

400

Show cancellation work on EACH side of the equation.
2y + 10 = 2

y = -4

500

Combine like terms & solve.
16r - 9r - 9 = 12

7r - 9 = 12
7r = 21
r = 3

Area & Perimeter

100

What is the formula for area?
What is the formula for perimeter?

Area = length x width
Perimeter = 2(length) + 2 (width)

200

What is the area of a rectangle with a length of 8.4 cm and a width of 5.5 cm? Show your work algebraically.

W) A = l x w
S) A = 8.4 x 5.5
E) A = 46.2 cm²

300

What is the perimeter of a rectangle with a length of 6 yards and a width of 3.5 yards. Show your work algebraically.

W) P = 2l + 2w
S) P = 2(6) + 2(3.5)
E) P = 12 + 7
E) P = 19 yards

400

What is the width of a rectangle with a length of 7 feet and an area of 17.5 square feet. Solve algebraically.

W) A = l x w
S) 17.5 = 7w
E) w = 2.5 feet

500

What is the length of a rectangle with a width of 5 cm and a perimeter of 20.4 cm? Show your work algebraically.

W) P = 2l + 2w
S) 20.4 = 2l + 2(5)
E) 20.4 = 2l + 10
E) 10.4 = 2l
E) Length = 5.2 cm

Trail Mix

100

What is the multiplicative inverse of 2 ⅜?

8/19

200

What is the multiplicative inverse of -6/7?

-7/6

300

Combine like terms and follow the necessary steps to solve two-step equations.
-2x - x + 5 = 8

x = -1

400

g/9 = 3

g = 27

500

What is the multiplicative inverse of -2 ⅝?

-8/21