Topic 4 - Generate Equivalent Expressions

Jeremy makes $5 every time he mows a lawn but it costs him $6.50 to refill his lawn mower with gas. If Jeremy mows 5 lawns using 3 tanks of gas, how much did he profit? (HINT: Profit = Revenue - Cost, where Revenue is 5*5 and Cost is 3*6.5)

Mathematical Equivalence

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Select all of the situations which can be represented by the expression 25.75x + 10. (HINT: There are 2 answers)

• Carol has $25.75. She earns $10.00 for each car that she washes.

• Max has $10.00. He earns $25.75 for every lawn that he mows.

• Jin buys x postcards for $25.75 each and x keychains for $10.00 each.

• Sasha sells a scarf for $10.00 and x jackets for $25.75 each.

• Jon buys 10 toy cars for $25.75 each.

Leon has a container filled with 450 grams of tea leaves. Each morning, he uses 3 grams to make a cup of tea. Write an expression to represent the amount of tea leaves remaining after x days. (HINT: the 450 grams will decrease/become lower by 3 grams every day, x)

Mathematical Equivalence

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Mathematical Equivalence

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Simplify the expression -6x + (-8) + 1 + (-7x).

Mathematical Equivalence

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Which expression is equivalent to 2.1 + (-3.7h) + 1.9h - 1.4?

• 3.5 - 5.6h

• 4.9h

• 0.7 + 1.8h

• 0.7 - 1.8h

• -0.2y and 2

• -6 and -2

• 3h - 6

• 4h + 6

Select all the expressions that are equivalent to -3(0.15 - 0.2 + 0.25p). (HINT: There are 2 answers)

• -0.45 - 0.6 + 0.25p

• 0.15 - 0.75p

• 3(0.15 + 0.2 + 0.25p)

• -3(-0.05 + 0.25p)

• -3(0.05 + 0.25p)