# Worksheet: Evaluating Simple and Rational Algebraic Expressions

In this worksheet, we will practice evaluating 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 , find the value of when , , and .

Q2:

Starting from his school, Bassem cycled 10 miles, stopped at his friendβs 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 friendβs 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?

Q3:

The total surface area, , of a cuboid is given by . Find the value of when , , and .

Q4:

Use the formula to find the area of a parallelogram whose base, , is and height, , is .

• A
• B
• C
• D2
• E

Q5:

What is the volume of a cube of edge length cm?

• A cm3
• B cm3
• C cm3
• D cm3

Q6:

If a rectangle has a length of 13 centimetres and a width of 12 centimetres, determine, in the simplest form, what fraction of the perimeter the width is.

• A
• B
• C
• D
• E

Q7:

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.

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.