Solve for x.

\displaystyle x-2 = -5

Solve for x.

\displaystyle \frac{y}{6} = - 7

Solve for x.

\displaystyle 9 + w = 13

Solve for x.

\displaystyle 8s = 32

Solve for x.

\displaystyle 4n + 9 = 25

Solve for x.

\displaystyle 16 - 5r = -14

Solve for x.

\displaystyle 5x - 8 = 2x + 7

Solve for x.

\displaystyle -2y - 7 = 4y + 11

Solve for x.

\displaystyle 4(3w + 2) = w - 14

Solve for x.

\displaystyle 3 - 2(s -1) = 13 + 6s

Solve for x.

\displaystyle 2(n + 9) = -6(2n -5) + 8

Solve for x.

\displaystyle 5(4k -3) - 5k = 10 + 2(3k + 1)

Solve for x.

An isosceles triangle and a square have the same perimeter. Find the side lengths of the triangle.

Solve for x.

\displaystyle \frac{x + 6}{5} = -2

Solve for x.

\displaystyle 6 = \frac{2}{5} (n -1)

Solve for x.

\displaystyle \frac{y +3}{2} = \frac{y - 4}{3}

Solve for x.

\displaystyle \frac{1}{4}(k -3) = \frac{1}{5}(k + 1)

Rearrange each formula to isolate the variable indicated.

A = P + I, for P

Rearrange each formula to isolate the variable indicated.

d =2r, for r

Rearrange each formula to isolate the variable indicated.

v =u + at, for a

Rearrange each formula to isolate the variable indicated.

P = 2(l + w), for l

International basketball competitions are played on a rectangular court where the length is 2m less than twice the width.

a) If the perimeter of the court is 867m, what are the dimensions of the courts?

b) Solve this problem using a different method.

c) Compare the methods. Describe one advantage and one disadvantage of each approach.

Natalie's pay varies directly with the time she works. She earns \displaystyle \$ 45 for \displaystyle 5 \mathrm{~h} .

a) Describe the relationship in words.

b) Write an equation relating her pay and the time worked. What does the constant of variation represent?

c) How much will Natalie earn for \displaystyle 9 \mathrm{~h} worked?

The table shows the cost, C, in dollars, to rent a car for a day and drive a distance, d, in kiliometres.

\displaystyle \begin{array}{|c|c|} \hline Distance, \boldsymbol{d}(\mathbf{k m}) & Cost, C (\$) \\ \hline 0 & 50 \\ \hline 100 & 65 \\ \hline 200 & 80 \\ \hline 300 & 95 \\ \hline 400 & 110 \\ \hline \end{array}

a) What is the fixed cost?

b) What is the variable cost? Explain how you found this.

c) Write an equation relating to C and d.

d) What is the cost of renting a car for a day and driving 750 km?

Find the slope of each line segment.

a) \displaystyle \mathrm{AB}

c) \displaystyle \mathrm{EF}

b) \displaystyle \mathrm{CD}

d) \displaystyle \mathrm{GH}

A racehorse can run \displaystyle 6 \mathrm{~km} in \displaystyle 5 \mathrm{~min} .

a) Calculate the rate of change of the horse's distance.

b) Graph the horse's distance as it relates to time.

c) Explain the meaning of the rate of change and how it relates to the graph.

Classify each relation as linear or non-linear.

\displaystyle \begin{array}{|c|c|} \hline x & y \\ \hline 0 & 5 \\ \hline 1 & 7 \\ \hline 2 & 9 \\ \hline 3 & 11 \\ \hline 4 & 13 \\ \hline \end{array}

Classify each relation as linear or non-linear.

\displaystyle \begin{array}{|c|c|} \hline x & y \\ \hline 0 & -4 \\ \hline 2 & -2 \\ \hline 4 & 2 \\ \hline 6 & 8 \\ \hline 8 & 16 \\ \hline \end{array}

Use the rule of four to represent this other ways.

a) Use a graph.

b) Use words.

c) Use an equation.\displaystyle \begin{array}{|r|r|} \hline x & y \\ \hline 0 & 4 \\ \hline 5 & 8 \\ \hline 10 & 12 \\ \hline 15 & 16 \\ \hline 20 & 20 \\ \hline \end{array}

For the line,

• identify the slope and the y-intercept.
• write the equation of the line in slope y-intercept form.

For the line,

• identify the slope and the y-intercept.
• write the equation of the line in slope y-intercept form.

a) Rearrange \displaystyle 3 x-4 y+8=0 into the form \displaystyle y=m x+b

b) Identify the slope and the \displaystyle y -intercept.

c) Use this information to graph the line.

Determine the x and y-intercepts.

\displaystyle 3x - y = 6

Determine the x and y-intercepts.

\displaystyle -2x + 5y = 15

Classify each pair of lines as parallel, perpendicular, or neither. Explain.

y = 2x + 5

\displaystyle y = - \frac{1}{2}x -2

Classify each pair of lines as parallel, perpendicular, or neither. Explain.

y = -3x + 2

\displaystyle y = -3x -8

Classify each pair of lines as parallel, perpendicular, or neither. Explain.

y = \frac{3}{4}x + 2

\displaystyle y = \frac{4}{3}x -2

Classify each pair of lines as parallel, perpendicular, or neither. Explain.

y =3, x = -2

Find the equation of the line which passes through the following points:

\displaystyle (3, 2) and \displaystyle (6, 3)

Find the equation of the line which passes through the following points:

\displaystyle (-2, 3) and \displaystyle (1, -3)

An online music download site offers two monthly plans:

• Plan A: $10 plus $1 per download
• Plan B: $1.50 per download

a) Graph this linear system and find the solution.

b) Explain the conditions under which each plan is better.