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In this lesson, we will learn how to evaluate simple and rational algebraic expressions with one or two variables by direct substitution at specific values.

Q1:

Given that the area of a trapezium is π΄ = 1 2 β ( π + π ) , find the value of π΄ when β = 4 c m , π = 3 2 c m , and π = 5 2 c m .

Q2:

Use the formula π΄ = π β to find the area of a parallelogram whose base, π , is 2 1 2 and height, β , is 4 5 .

Q3:

One measure of distance is rate multiplied by time, . Find the distance Dalia travels if she is moving at a rate of 60 mph for 6.75 h.

Q4:

The total surface area, π , of a cuboid is given by π = 2 ( π₯ π¦ + π¦ π§ + π§ π₯ ) . Find the value of π when π₯ = 5 , π¦ = 1 , and π§ = 9 .

Q5:

The speed , in feet per second, of an ocean wave at depth , in feet, is given by the formula . Determine, to the nearest tenth, the speed of an ocean wave at a depth of 11 feet.

Q6:

Last year, a familyβs total income was $46β000, while their total expenses were $48β100. Use the expression πΌ β πΈ 1 2 , where πΌ represents total income and πΈ represents total expenses, to find the average difference between the familyβs income and its expenses each month.

Q7:

Starting from his school, Bassem cycled 10 miles, stopped at his friendβs house, and later continued cycling in the same direction as before. The equation shows the relationship between the number of miles he cycled after leaving his friendβs house and the distance he was from his school. If he ended up 32 miles from his school, how far is he from his friends house?

Q8:

Samar was given a $50 bill to buy 2 yogurt cups, each for dollars. She had remaining. Calculate the amount remaining if each yogurt cup cost $3.

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