Week 7 - 03/06/19

Solving System of Equations by Substitution

100

Solve for x & y

x + 7y = 0 

2x − 8y = 22

x = 7

y = -1

200

Solve for x & y

4x + 2y = 10 

x − y = 13

x = 6

y = -7

300

Solve for x & y

y = 4x − 9 

y = x − 3

x = 2

y = -1

400

The difference of two numbers is 3. Their sum is 13. Find the numbers.

x = 8

y = 5

500

The length of a rectangle is equal to triple the width. Which system of equations can be used to find the dimensions of the rectangle if the perimeter is 86 centimeters?

L = 3W

2L + 2W = 86

Fractions

100

2/3 divided by 1/3

2

200

Solve

2/5 divided by 2/3

3/5

300

3/8 + 2/5

31/40

400

36/13 - 8

-68/13

500

Mary needs to order pizza for 18 students.  Each student should get 1/4 of a pizza.  How many pizzas should Mary order?

5 pizzas

Parallel & Perpendicular Lines

100

Two non-vertical lines are perpendicular if their slopes are _____ ______ of each other.

negative reciprocals

200

Find the line that passes through: (4, -1), and is parallel to y = (- 3/4) x

y = (- 3/4) x + 2

300

Find the line that passes through: (-3, -3), and is perpendicular to y = (- 3/8) x - 2

y = (8/3) x + 5

400

Find the line that passes through: (0, -4), and is perpendicular to 

y = (- 3 /2) x + 1

y = (2/3) x - 4

500

Line L is perpendicular to the graph of the equation -3x - 5y = 2 and contains the point (2, - 6).  Find the equation for L.

y=(5/3)x - (28/3)

Linear Equations

100

Give the equation of a line in slope-intercept form with m = 2/3 and b = 1

y=(2/3)x + 1

200

Give the equation of a line in slope-intercept form passing through: (5, −1) and (2, 3)

y = − (4/3) x + (17/3) 

300

Write the equation of a line that passes through the point (-4, -3) with undefined slope.

x = -4

400

Write the equation of a line that passes through the point (-5, 2) with slope m=0.

y = 2

500

Find the equation of the line that passes through 

(3, 13/4) & (-1, 3/4)

y=(1/2)x + (5/4)

Definitions & Rules

100

What is the formula for finding the slope when you are given two points?

m = (y₂ - y₁)/(x₂ - x₁)

200

Give the formula for point-slope form.

(y - y₁) = m(x - x₁)

300

Give the formula for slope-intercept form.

y = mx + b

400

The expression

|ax + b| < c

can be expressed without absolute value as the inequality _______

-c < ax + b < c

500

State the Absolute Value Rule

Any equation of the form |a|= b is equivalent to the equations a=b OR a=-b when b>0.