Math

Algebra

100

3(x-4)+5=20

x=9

200

5y-4=2y+8

y=4

300

 (x+3)(x−7)

x²−4x−21

400

 (x−3)²(2x+1)

2x³−11x²+12x+9

500

A phone plan costs $20 per month plus 0.50 cents per text message. Represent this phone plan using an algebraic expression.

C= 0.50m+20

Financial Literacy

100

What is the difference between net pay and gross pay?

Gross pay is money you earned before deductions and net pay id what you earned after deductions. 

200

John invests $2,000 in a savings account that pays a simple interest rate of 4% per year. How much interest will he earn after 3 years?

He will earn $240 

300

Alex takes out a loan of $1500 from TD Bank. The bank charges 5.45% compound interest per month. How much money does he now own the bank after 3 years?

He owns the bank $10,133.71

400

Chloe earns a gross monthly salary of $2,800. Her employer automatically deducts 22% from her paycheck for taxes and benefits. How much is deducted from her pay?

She gets $616 deducted.

500

A delivery company purchases a new commercial refrigerator for $15,000. After 4 years of use, the company checks their accounting books and notes that the refrigerator now has a remaining value of $3,000. What is the depreciation of the refrigerator over each year?

$3000

Linear Relations

100

Find the Slope:

(0,3) and (4,1)

Slope= 1/2

200

Find the slope: 

Aleena will write the table

Slope= 3/2

300

Write the equation:

Aleena will draw the graph

y=3/2x + 3

400

Write the equation:

Aleena will draw the graph

y=7

500

Graph the inequality:

Aleena will write it on the board.

Aleena will come and check

Exponent Laws

100

Simplify: 

x^{4 .} x¹³

x¹⁷

200

Simplify: 

(m³)⁶

m¹⁸

300

Simplfiy:

(3a²b⁴)³

27a⁶b¹²

400

Simplify:

10w³z⁰/2w⁷

5/w4

500

The distance from Earth to the Moon is approximately 4x10⁵ kilometers. The distance from Earth to a distant star is 3x10⁷ times farther than the distance to the Moon. What is the distance from Earth to the star?

12x10⁷

Geometry

100

Find the area of a circle if it has a diameter of 25m. 

490.87m²

200

Find the area of a trapezoid if the side on top is 7m, the base on the bottom is 12 and the height is 5m. 

47.5m²

300

A construction worker leans a 13m ladder against a vertical wall to repair a window. The base of the ladder is placed exactly 5m away from the bottom of the wall. How high up the wall does the ladder reach?

12m

400

Find the volume of a cylinder if the diameter of the face is 4m and the height of the cylinder is 2.5m

31.42m²

500

Find the volume of the cone if the base has a radius of 7m and a height of 2m

102.62m³