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Chapter 1: Q33. (page 13)

Evaluate each expression if g=2, r=3and t=11.

2t+3g梅4

Short Answer

Expert verified

The value of the expression (2t+3g)梅4is 7.

Step by step solution

01

Step 1. Evaluation of algebraic expression.

In order to evaluate an expression, substitute the values for the variables and simplify using the order of operations. The order of operations is in order:

  1. Evaluate the expressions inside the bracket
  2. Evaluate the powers
  3. Multiply and/or divide
  4. Add and/ or subtract

The evaluation takes place from left to right.

02

Step 2. Replace the variables.

Substitute 2 for g, 3 for 3, and 11 for t into the equation 2t+3g梅4.

2t+3g梅4=2脳11+3脳2梅4

03

Step 3. Apply the order of operations.

As per the order of operations, first, evaluate the expressions inside the bracket, then divide the result by 4.

2t+3g梅4=2脳11+3脳2梅4=22+6梅4=28梅4=7

Therefore, the expression is equal to 7.

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