MTH*1W Exam Review

Linear Equations

100

What is the equation of a straight line?

y=mx+b

200

Identify the slope and y-intercept in the following equation...

y= -10x+ 11 

Slope= -10

y-Intercept= 11

300

Determine the slope from these two points...

Hint: Remember the different formulas for slope! Including Δy/ Δx

Two Points:

(-10, 5)

(-4, 2)

Δy/ Δx= 

= (5-2)/ (-10 - -4)

= 3/ -6

= -1/2

400

Determine the value of y, if x=3

y=5x-4

y=11

500

Determine the slope and y-intercept of the following equation. Explain why you got this result.

Equation:

y=-45

Slope: there is no slope (this line is horizontal)

y-Intercept: -45

Exponent Laws

100

Identify the Exponent in the following expression...

5x⁷

7 is the exponent

200

Simply the following expressions:

X³X⁵y⁷       AND         X¹⁰Y⁷ / X⁵Y²

X⁸Y⁷       AND    X⁵Y⁵     

300

Simplify by Multiplying

x⁴(5x-3)-10

5x⁵-3x⁴-10

400

Simplify the following expression using exponent laws...

1/4 (x⁴x² / x⁸)

1/4x²

500

Using the numbers 1-9, create a result with the greatest exponent. You can only use a number one time!

x^Δ * (x^Δ)^{Δ /} x^Δ = x^ΔΔ

7, 8, 9, 1 = 78

x⁷ * (x⁸)^9 / x¹ = x⁷⁸

Triangle Properties

100

What is the side opposite of the right angle called? 

Hint: This is also the longest side!

Hypotenuse 

200

Verify that if a =3 and b=4, then means c=5

Hint: Use pythagorean theorem!

a²+b²=c²

(3)²+(4)²=(5)²

9+16=25

25=25

300

If a triangle has one right angle and one 30 degree angle, what is the measurement of the missing angle?

The missing angle is 60 degrees

400

Triangle ABC has side length A=10 cm and C= 15cm, using pythagorean theorem, find side length B. Round to one decimal place.

Hint: a²+b²= c²

11.2 cm

500

A right triangle has side lengths a=10.3 cm and c=17.2 cm. Find the measurement for side length b. Round to the nearest decimal point.

13.8 cm

Order of Operations

100

What does each letter in BEDMAS stand for?

BEDMAS

Brackets

Exponents

Division/Multiplication

Addition /Subtraction

200

Solve

(3²)³ + (-9)²

810

300

Simplify the following expression...

(3x-3)-(5x-4)

-2x+1

400

Simplify the following expression...

x(1-5x+2)-10x

-5x²-7x

500

Solve the following using the Order of Operations

((3(5) +9+4²) / ((-3)³+32)) -1

7

Budgeting

100

Is earning (getting) money referred to as income or expenses?

Income

200

If Anna has a monthly income of $1200 and her monthly expenses are $500, does she have a surplus or balanced budget?

Surplus

300

Electricity, entertainment, rent are examples of...

a) Expenses

b) Interest

c) Income

d) All of the above

a)

400

Buddy has a monthly budget that looks like the following...

Income: $1,800

Expenses:

$180 (Phone Bill), $1,000 (Rent), $400 (Groceries), $200 (Gas), $200 (Additional Expenses)

Does Buddy have a balanced budget?

No, he spends $180 more than he makes.

500

Blaire has a monthly income of $1,000 and her monthly expenses add up to $1,300.

She recently started tutoring for $20/hour. How many hours would she need to tutor to create a balanced budget?

She would need to tutor for 15 hours in a month to get a balanced budget.