What is the value of the expression when x = 5, y = 4, and z = 3? 5(4x - 2y + z) (a) 20 (b) 65...

Question:

What is the value of the expression when {eq}\,x = 5 {/eq}, {eq}\,y = 4 {/eq}, and {eq}\,z = 3 {/eq}?

{eq}5\left(4x - 2y + z\right) {/eq}

(a) {eq}20 {/eq}

(b) {eq}65 {/eq}

(c) {eq}75 {/eq}

(d) {eq}99 {/eq}

Evaluating Simple Algebraic Expressions:

When evaluating simple algebraic expressions, the values of the variables are substituted and the mathematical operations are followed. One has to be mindful to follow the correct order of the operations and any negative signs.

The answer is (c) 75 .

The value is found by substituting {eq}\,x = 5 {/eq}, {eq}\,y = 4 {/eq}, and {eq}\,z = 3 {/eq} in the expression:

{eq}5\left(4x - 2y + z\right) \\ = 5 (4(5) - 2(4) + 3) \\ = 5 (20 -8 + 3) \\ = 5 (15) \\ = 75 {/eq}