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Substitution and Order Operations

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Substitution and Order Operations

A snack cart uses algebraic rules to work out prices and servings. Substitute the given values, then follow the order of operations: brackets, powers, multiplication and division from left to right, then addition and subtraction from left to right. Show working for calculations.

Warm-up: Choose the First Move

For each expression, identify the first operation and evaluate the expression. Follow the order of operations, working from left to right for multiplication and division.

1.In 6 + 3² × 2, which operation comes first?

6 + 3
3²
3² × 2
6 + 2

2.Evaluate 18 ÷ 3 × 2. Work from left to right for division and multiplication.

3.Evaluate (14 − 5) × 2 + 3².

Substitute into the Cart's Rules

Replace each letter with its value. Use brackets around substituted negative numbers when needed.

4.A smoothie costs $p + 2q dollars, where p = 3 and q = 4. Calculate the cost.

5.The number of fruit cups in a tray is given by 2a² − 3. If a = 4, how many fruit cups are there?

6.A snack bundle costs 5(x − 1) + 2 dollars. Find the price when x = 6.

7.Evaluate 3m² + 2n − 4 when m = 2 and n = 5.

8.True or false? If x = 3, then 4 + 2x² = 100 because 4 + 2 × 3 is squared.

TrueFalse

9.Mere writes 2(5 + 1)² as 2 × 5 + 1² and gets 11. Find the correct value and explain the mistake.

10.The cart uses the rule C = 2r + s² to calculate the order's total charge in dollars, where r is the number of rolls and s is the number of sauce tubs. Calculate C for r = 4 and s = 3, then state what C represents in this context.

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Substitution and Order Operations

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Warm-up: Choose the First Move

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2 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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