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100

Solve the equation for c. 

-14 = c - 12

c = -2 

100

Find the slope of the ordered pairs. 

(0, 3) and (2, 5)

Slope = 1 

100

When solving a system of linear equations, what does the solution represent? 

The solution of a system of linear equation is the point of intersection between the equations. The point of intersection is a solution for both equation. 

100

What is the formula for slope? 

Slope = (y2-y1) / (x2-x1) 

200

Solve the equation for d. 


2d - 15 = 3 

d = 9 

200
Identify the slope and y-intercept of the linear equation. 


y = -4x - 6 

Slope = -4 

y-intercept = -6 

200

Solve the system of linear equations. 

y = -9x + 2 

y = -3x - 4


(1, -7) 

200

Solve the equation for x. 

2x + 6 = 9 (3 + x) 

x = -3 

300

Solve the equation for p. 


3(p + 5) = -2(3p - 6)

p = -1/3

300

Identify the slope and y-intercept. 

-6x + 3y = 12 

Slope = 4 

y-intercept = 2 

300

Solve the system of linear equations. 

2y = 3 + 6x 

4y = 6 + 12x

Infinite solution 

300

Solve the system of linear equations. 

y = 11x + 8 

y = 9x -6

(-7, -69) 

400

The cost (in collars) of making w wedding cake is represented by C = 25w + 40. How many wedding cakes are made when the cost is $315? 

11 wedding cakes

400

Identify the slope and y-intercept. 

3x - 4y = 24 

Slope = 3/4

y-intercept = -6


400

Solve the system of linear equations. 

y = -5x -2 

5x + y = 0 


No solution, parallel lines 

400

Explain how you can instantly determine whether a system of linear equations has no solution.

A system of linear equations has no solution if they have the same slope. 

500

You rent a video game for $3.50. Your total cost of rentals for the month was $31.50. Write and solve an equation to find the number of video game rentals for the month. 

3.50g = 31.50 

g = 9 
500

Which is steeper, hill A that rises 2 feet for every 10 feet of run, or hill B that rises 2 feet for every 15 feet of run? Explain.

Hill A has a slope of 2/10, whereas Hill B has a slope of 2/15. 

Hill A is steeper because it has a greater slope.

500

Solve the system of linear equations. 

2x + 10y = -20 

-x + 4y = 28 

(-20, 2)

500

Explain how to solve a system of linear equation by elimination. 

1. Multiply, if necessary, one or both equations by a constant so at least 1 pair of like terms has the same or opposite coefficients. 

2. Add or subtract the equations to eliminate one of the variables.

3. Solve the resulting equation for the remaining variable.

4. Substitute the value from step 3 into one the original equations and solve.