Write the linear system that corresponds to each equation.

4x - 5 = 3

Write the linear system that corresponds to each equation.

\frac{1}{2}x + 3 = 5

Write the linear system that corresponds to each equation.

-2(x -3) = -4

Write the linear system that corresponds to each equation.

\frac{1}{4}(x + \frac{2}{5}) = 0

Solve each equation using algebra.

3x + 6 =12

Solve each equation using algebra.

5 - 2x = 11

Solve each equation using algebra.

4x - 8 = 12

Solve each equation using algebra.

-6x + 8 = -10

Determine the x-intercept of each of the following.

y = -5x +20

Determine the x-intercept of each of the following.

2x + y = 10

A promoter is holding a video dance. Tickets cost \$15 per person, and he has given away 10 free tickets to radio stations.

• Create the linear relation that models the money the promoter will earn in ticket sales in terms of the number of people attending the dance.

A promoter is holding a video dance. Tickets cost \$15 per person, and he has given away 10 free tickets to radio stations.

Here is the linear equation that represents the above. \displaystyle R = 15n - 150

• Graph the linear relation.

A promoter is holding a video dance. Tickets cost \$15 per person, and he has given away 10 free tickets to radio stations.

Here is the linear equation that represents the above. \displaystyle R = 15n - 150 and below is the graph

• Write the equation you would use to determine how many people attended if ticket sales were only \$600. Estimate the solution using the graph.

A promoter is holding a video dance. Tickets cost \$15 per person, and he has given away 10 free tickets to radio stations.

Find how many people bought the ticket if he made \$600?

You may use the equation below.

\displaystyle R = 15n - 150

Erin joins a CD club. The first 10 CDs are free, but after that she pays \$15.95 for each CD she orders.

• Write an expression for the cost of x CDs.

Erin joins a CD club. The first 10 CDs are free, but after that she pays \$15.95 for each CD she orders.

• How much would she pay for 15 CDs?

Erin joins a CD club. The first 10 CDs are free, but after that she pays \$15.95 for each CD she orders.

It can be modelled by \displaystyle Cost = 15.95x - 159.5

• Erin receives her first order of CDs with a bill for \$31.90. Create and solve an equation to determine how many she ordered.

Solve the equation.

9x + 2 = 11x -10

Solve the equation.

-\frac{4}{5}x + \frac{2}{3}= 1\frac{3}{4}x +2

Solve the equation.

-3(x + 1) -2 = 4x - 5(x - 3)

Solve the equation.

\dfrac{(4+x)}{3} +4 = \dfrac{x - 6}{2} - 6

Determine the length of each base for the trapezoids below if they have the same area.

Is x = 3 the solution to 5(3x - 2) =4 -10(x + 1)? Explain how you know.

Solve each equation for the variable indicated.

P = 2l + 2w; l

Solve each equation for the variable indicated.

A = P + Prt; t

Solve each equation for the variable indicated.

V =\pi r^2h; h

Solve each equation for the variable indicated.

A x + By = C; y

For formula C =\frac{5}{9}(F- 32) is used to convert Fahrenheit temperatures to Celsius.

Determine the Celsius temperature when F = 90

For formula C =\frac{5}{9}(F- 32) is used to convert Fahrenheit temperatures to Celsius.

Solve for F in terms of C.

For formula C =\frac{5}{9}(F- 32) is used to convert Fahrenheit temperatures to Celsius.

Determine the Fahrenheit temperature when C = 25.

Solve for y in terms of x.

8x - 4y =12

Solve for y in terms of x.

5x = 10y - 20

Solve for y in terms of x.

3x - 3y -9 = 0

Solve for y in terms of x.

\frac{x}{4} + \frac{y}{2} =2

Jose has \$32.00 in loonies and toonies.

• Write a linear relation expressing the total amount of money in terms of the number of loonies and toonies..

Jose has \$32.00 in loonies and toonies.

• Write an equation to express the number of toonies in terms of the number of loonies.

Jose has \$32.00 in loonies and toonies.

• Use your equation to determine which one of the following is a possible combination of coins Josh could have.

Jose has \$32.00 in loonies and toonies.

• Is it possible that Jose has 13 toonies and 5 loonies? Explain.

Solve the equation 4 = -2x -3 byI graphing y = -2x -3 and y =4. The x-value where the two lines intersect is the solutions.

a) What is the solution to this equation based on the graph?

b) Verify the solution using algebra.

Solve the equation 4 = -2x -3 byI graphing y = -2x -3 and y =4. The x-value where the two lines intersect is the solutions.

How could you use this strategy to solve 3x -4 = 2x + 3?

Solve each of the following systems of equations using a graph.

• 3x - 4y = -12 and 2x - 3y = 64

Fitness centre A has a monthly membership fee of \$90. Members pay $5 to take an aerobics class. At Fitness centre B, there is no membership fee, but clients pay \$10 per class.

a) Write a linear relation for the yearly cost in terms of the number of aerobics classes.

b) Graph the equations on the same set of axes.

c) State the point of intersection.

d) What does the point of intersection mean in this case?

e) How would you advise someone who is trying to choose between the two fitness clubs?

The Video Stream you can watch movies for \$ 3.00/month each and has no membership fee. At Rent Stream you can view movies for \$2/month but has a \$15 membership fee.

a) Write an equation for each situation.

b) Graph both equations on the same set of axes. Find the point of intersection.

c) What does the point of intersection mean in this case?

d) What advice would you give to someone who is deciding which video store to use?