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.
The table shows the cost, C, in dollars, to rent a car for a day and drive a distance, d, in kiliometres.
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?
Classify each relation as linear or non-linear.
Classify each relation as linear or non-linear.
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.
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.