MPM 1D – Final Exam Review Exponent Laws. MPM 1D – Final Exam Review Exponent Laws Simplify: cd...

MPM 1D – Final Exam Review

Exponent Laws

Write as a single power:


Exponent Laws

Simplify: cd3 X c4d2


Polynomials

Simplify: 22

243342

3

1263

yx

yxyxyx


Polynomials

Expand and Simplify:

)34(2)23(2 babbaa


Solving Equations

Solve: 3x + 7 = 2x - 3


Solving Equations

Solve: 3(2x – 5) – x = 4 – (3x + 7)


Solving Equations

Solve: -3 =


Solving Equations

Solve: =


Word ProblemA triangle has angle measures that are related as follows: • the largest angle is eight times the smallest angle• the middle angle is triple the smallest angle

Find the measures of the angles.


LINES1. When the graph of a relationship is a straight line the relationship is:

2. When the graph of a relationship is NOT a straight line the relationship is:

3. The horizontal axis is called the:

4. The vertical axis is called the:

5. The point where the axis cross is called the:

6. What are the x and y coordinates of the point (3,5)?:


LINES7. If a line has a slope of –3 and a y-intercept of (0,7) then its

equation is:

8. Any line that is horizontal has the equation:

9. The slope of a horizontal line is:

10. Any line that is vertical has the equation:

11. The slope of a vertical line is:


LINES


LINESDetermine the x and y intercepts of -2x – 5y = 20


LINESWrite the following in y=mx+b form:


LINESA plumber charges according to the equation 60n - C + 90 = 0, where C is the total charge, in dollars, for a house call, and n is the time, in hours, the job takes.a) Rearrange the equation to express it in the form C = mn + b.

b) Identify the slope and the C-intercept and explain what they mean.

c) What would a 3-h house call cost?


LINES

Cindy is at a baseball game with her younger brother, Mike. She has $18 to spend on hamburgers and pop. Hamburgers cost $3 each and pop cost $2 each.a) If Cindy buys only hamburgers, how many can she buy?

b) If she buys only pop, how many can she buy?

c) Write an equation to represent this situation


LINESAt Jim Norton’s a coffee costs $1.5 and a donut costs $1. Billy went to Jim Norton’s and bought 12 items. His total came to $16.50. How many coffees and donuts did Billy purchase?

1. Write an equation to represent the total number of items Billy purchased.

2. Write an equation to represent the total cost of Billy’s purchase.


LINES

Graph the equations to find the POI.

POI is ( , )

What does the POI mean?


Geometry


Geometry

Find the volume of a square-based pyramid is the base is 25m2 and the height is 3.75m.


Geometry

Determine the volume and surface area of a cube that has a side length of 5 cm.


Geometry

Find the surface area and volume of a cylinder with a height of 10.0 cm and a radius 0f 3.6cm


Geometry

11 cm

3 cm

6 cm

Determine the area and perimeter.


Geometry

Determine x and y.


Geometry

Good Luck

MPM 1D – Final Exam Review Exponent Laws. MPM 1D – Final Exam Review Exponent Laws Simplify: cd...

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